ENERGY DISSIPATION DEVICE
20180105135 ยท 2018-04-19
Inventors
- Gavin David KEATS (Christchurch, NZ)
- Alessandro Palermo (Christchurch, NZ)
- Mohammad Mustafa MASHAL (Santa Barbara, CA, US)
Cpc classification
F16F7/08
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F16F7/123
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F16F15/035
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
B62D1/195
PERFORMING OPERATIONS; TRANSPORTING
B60R22/28
PERFORMING OPERATIONS; TRANSPORTING
International classification
B60R22/28
PERFORMING OPERATIONS; TRANSPORTING
F16F7/116
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F16F15/03
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F16F7/12
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
Abstract
An energy dissipation device having a longitudinal axis, with first and second members that are movable longitudinally relative to each other upon an axial load applied along the longitudinal axis of the device. A plurality of U-shaped flexural plates (UFPs) are arranged between the first and second members in the longitudinal direction of the device and operatively attached to the first and second members and configured to flex upon relative movement of the first and second members. An energy dissipation device may have at least one redundant yielding-type energy dissipater connected to one but not both of the first and second members.
Claims
1. An energy dissipation device having a longitudinal axis, the device comprising first and second members that are movable longitudinally relative to each other upon an axial load applied along the longitudinal axis of the device, and a plurality of U-shaped flexural plates (UFPs) arranged between the first and second members in the longitudinal direction of the device and operatively attached to the first and second members and configured to flex upon relative movement of the first and second members, and one or more redundant UFPs connected to one but not both of the first and second members.
2. An energy dissipation device according to claim 1, wherein the UFPs that are operatively attached to the first and second members are arranged to plastically deform to dissipate energy.
3. (canceled)
4. An energy dissipation device according to claim 1, wherein the first and second members are substantially parallel or coaxial and are movable parallel and/or axially relative to each other.
5. An energy dissipation device according to claim 1, comprising a housing to obscure and protect the UFPs.
6. An energy dissipation device according to claim 5, wherein the housing is provided by the first member, which substantially encloses the second member and the UFPs.
7. An energy dissipation device according to claim 1, wherein the energy dissipation device is a self-centring device.
8. An energy dissipation device according to claim 7, comprising a plurality of post-tensioned tendons, wherein the tendons are coupled to the first and second members such that both compressive and tensile axial loads applied to the energy dissipation device tension and/or stretch the tendons.
9. An energy dissipation device according to claim 8, wherein the tendons are attached to end blocks or end plates that are movable relative to the first and second members, and the first and second members comprise stops that restrict the direction of movement of the end blocks or end plates relative to the first and/or second member.
10. An energy dissipation device according to claim 8, wherein the tendon post-tension is sufficient to bias the first and second members back towards a neutral position upon release of the axial load applied to the energy dissipation device.
11. An energy dissipation device according to claim 1, wherein the energy dissipation device is a multi-performance device, wherein the behaviour of the energy dissipation device varies depending on the magnitude of the axial load.
12-14. (canceled)
15. An energy dissipation device according to claim 11, comprising end connectors at opposite ends of the energy dissipation device, for coupling the energy dissipation device to structural members, wherein the end connectors are removably attachable to the structural member to allow installation, removal and/or replacement of the energy dissipation device.
16. An energy dissipation device according to claim 14, wherein the energy dissipation device comprises at least one supplementary damper operatively connected to the first member, wherein the supplementary damper(s) is/are attached between the first member and an end connector such that the supplementary damper(s) are in series with the UFPs.
17. (canceled)
18. An energy dissipation device according to claim 1, wherein the UFPs that are operatively attached to the first and second members comprise one or more double UFPs, each comprising a pair of integral, opposed UFPs that form an oblong cross-section.
19-22. (canceled)
23. An energy dissipation device having a longitudinal axis, the device comprising: first and second members that are movable longitudinally relative to each other upon an axial load applied to the device; at least one yielding-type energy dissipater operatively attached to the first and second members and configured to flex upon relative movement of the first and second members; and at least one redundant yielding-type energy dissipater connected to one but not both of the first and second members.
24. An energy dissipation device according to claim 23, wherein the yielding-type energy dissipaters are U-shaped flexural plates (UFPs) or have other cross sections such as I- or H-shaped cross sections.
25. An energy dissipation device according to claim 24, wherein the yielding-type energy dissipaters are UFPs.
26. An energy dissipation device according to claim 23, wherein the yielding-type energy dissipaters comprise a ductile material, and are plastically deformable to dissipate energy.
27. An energy dissipation device according to claim 26, wherein the ductile material comprises steel or shape-memory alloy.
28. An energy dissipation device according to claim 23, configured such that if the device is damaged and/or the yielding-type energy dissipater(s) yield under large axial loads, the redundant dissipater(s) can be connected to the other of the first and second members to restore at least some functionality to the energy dissipation device.
29. An energy dissipation device according to claim 23, wherein the energy dissipation device comprises at least as many redundant energy dissipaters as yielding-type energy dissipaters operatively attached to the first and second members.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0031] The present invention will now be described by way of example only and with reference to the accompanying drawings in which:
[0032]
[0033]
[0034]
[0035]
[0036]
[0037]
[0038]
[0039]
[0040]
[0041]
[0042]
[0043]
[0044]
[0045]
[0046]
[0047]
[0048]
[0049]
[0050]
[0051]
[0052]
[0053]
[0054]
[0055]
[0056]
[0057]
[0058]
[0059]
[0060]
[0061]
[0062]
[0063]
[0064]
[0065]
[0066]
[0067]
[0068]
[0069]
[0070]
DETAILED DESCRIPTION OF A PREFERRED EMBODIMENT
[0071]
[0072] One or more redundant UFPs 13 are bolted to the second member 5 only, but not to the first member 3, such that the redundant UFPs 13 move with the second member 5 relative to the first member. Alternatively, the redundant UFPs could be bolted to the first member 3 only, such that the second member moves relative to the redundant UFPs 13.
[0073] In the embodiments shown in the drawings, only one pair of redundant UFPs are shown for simplicity. Preferably the number of bolted UFPs is the same as the number of redundant UFPs. That is, the embodiment in
[0074] The first member 3 is a hollow member such as a square hollow section or a rectangular hollow section. The second member 5 comprises two coaxial threaded rods 9a, 9b, joined by a central section 7 in the form of an I-beam. A major part of the second member 5 is positioned within the hollow of the first member 3. The UFPs 11, 13 are bolted to the web of the I-beam 7. The second member 5 is slidably mounted relative to the first member 3 by guides in the form of bushings 125, which are spaced from the ends of the second member 5. This ensures full functionality can be restored to the brace after a maximum considered earthquake event by connecting all of the redundant UFPs to the first member 3.
[0075] The brace 1 has first and second end connectors 15, 17 for attaching the brace 1 between two structural members in a structure such as a building or a bridge. The second end connector 17 is adjustable, for example for installation to reduce the requirement for construction tolerances.
[0076] The first end connector 15 is connected to or integral with the first member 3, at a first end of the device 1. The second end connector 17 is connected to the rod portion 9b of the second member 5, which extends beyond the first member 3. In the embodiment shown, the end connectors 15, 17 are lugs for bolting to a structure to form a pinned connection. However, the end connectors 15, 17 may have other forms such as plates for bolting to the structure.
[0077] The brace 1 is configured to accommodate axial loading along the longitudinal axis L1 of the device, for example under seismic and wind loadings.
[0078] From the neutral position shown in
[0079] From the neutral position shown in
[0080] The UFPs 11 attached to the first and second members 3, 5 preferably all have the same dimensions, thickness, and radius, and preferably comprise the same materials such that all of the attached UFPs 11 deform and yield together upon extension or compression of the brace, acting in parallel.
[0081] At the end of a seismic event, once all of the energy has been dissipated from the structure, the brace 1 may return to the neutral position shown in
[0082] After the seismic event, one or more of the redundant UFPs 13 bolted to the second member 5 can be bolted or welded to the first member 3 to provide new, un-yielded connections between the first and second members 3, 5. Welding is advantageous if the drilled holes in the redundant UFPs 13 and the one in first member 3 are not aligned after an earthquake, weld metal can be spot welded through the holes in the first member 3 to connect it to the redundant UFPs 13. This advantageously enables the brace 1 to be repaired without removing the brace from the structure and without replacing the entire bracing.
[0083] In addition to this ease of repair, the brace of
[0084] The capacity of the UFP brace can be customised by altering the radius, width, thickness and/or the number of bolted UFPs 11.
[0085] The length of the brace 1 in
[0086] Self-Centring Brace
[0087]
[0088] The brace 101 comprises first and second movable end caps 123a, 123b that are movable relative to the first and second members 103, 105. A plurality of tendons 151 extend between the two end caps 123a, 123b, and the end of each tendon 153a, 153b is anchored to a respective end cap 123a, 123b. The tendons may be anchored using any known anchoring method. For example, steel tendons may be anchored using a collar and wedge arrangement.
[0089] The tendons 151 are initially post-tensioned and configured to be in tension both under extension and compression of the brace 101. The tendons 151 preferably comprise high strength steel, but alternatively may comprise fibreglass, carbon fibre, a shape memory alloy, or other suitable material. In one example, the tendons may comprise bars comprising a specified length of shape memory alloy connected to steel bar through couplers. In this case, when the brace is stretched the steel portion of the bar will not stretch, only the shape memory alloy part stretches. This combined steel and shape memory alloy bar is lower cost than a tendon comprising shape memory alloy only.
[0090] The first and second members 103, 105, each have two respective stops 119a, 119b, 121a, 121b that limit inward movement of the end caps 123a, 123b. The stops 119a, 119b on the first members 103 are shoulders that protrude inwardly from the walls of the square hollow section. The stops 121a, 121b on the second member 105 are nuts threaded onto the second member rods 9a, 9b.
[0091] From the neutral position shown in
[0092] During this tension of the brace 101, the second stop 121b on the second member 105 pushes the second end cap 123b out of contact with the respective stop 119b on the first member 103, while the first stop 119a on the first member 103 prevents the first end cap moving with the second member 105. This increases the distance between the end caps 123a, 123b, tensioning the tendons 151.
[0093] From the neutral position shown in
[0094] During this compression of the brace 101 the first stop 121a on the second member 105 pushes the first end cap 123a out of contact with the respective stop 119a on the first member 103, while the second stop 119b on the first member 103 prevents the second end cap 123b moving inwards upon movement of the second member 105. This increases the distance between the end caps 123a, 123b, tensioning and stretching the tendons 151, despite the compressive load applied to the brace 101.
[0095] At the end of a seismic event, once all of the energy has been dissipated from the UFPs, the tension in the tendons 151 causes the brace 101 to return to the centred position shown in
[0096] The amount of initial post-tensioning required in the tendons 151 to re-centre the brace 101 is a function of the number and capacity of the UFPs 111 that need to be re-centred. Generally, the initial post-tension in the tendons 151 should be at least 1.5 times the force in the UFPs 111 during deflection to re-centre the brace 101. Preferably at least one end anchor 153b of each tendon 151 is externally accessible, enabling the tendons 151 to be post-tensioned without disassembling the brace. This may be necessary for maintenance, or following a seismic event.
[0097] The tendons 151 increase the capacity of the brace 101 compared with an embodiment having only UFP dampers. The increase in capacity is a function of the size and number of UFPs and the number, length and gauge of the tendons 151. In one embodiment, the self-centring UFP brace has a capacity twice that of the non self-centring version of
[0098] Longer tendons advantageously increase the capacity of the brace 101 by increasing the displacement allowable in the brace before the tendons 151 yield. However, longer tendons necessitate a longer second member 105, increasing the risk of the second member 105 buckling under compressive loads. To decrease the buckling length of the second member 105, the second member 105 is slidably mounted relative to the first member 103 by guides in the form of bushings 125 spaced from the ends of the second member 105.
[0099] If the relative displacement between the first and second members 103, 105 stretches the tendons 151 beyond their elastic limit, the tendons are unable to fully re-centre the brace 101. In the case of a very high loading causing a large displacement in the brace 101, the tendons 151 may fracture. While this would reduce the capacity of the brace 101, the UFPs would still provide some capacity and prevent collapse of the brace 101.
[0100] Multi-Performance Brace
[0101]
[0102] Compared to the brace of
[0103] With reference to
[0104] In one example, the rod 257 has an outer diameter of 24 mm, with three grooves 10.6 mm and 245 mm long. The ends 255a, 255b of the dissipater 255 may be threaded for ease of attachment to the brace 201.
[0105]
[0106] The mode of energy dissipation depends on the loading applied to the brace 201, for example, under different level earthquakes.
[0107] In the extended position of
[0108] The grooved dissipaters 255 are preferably configured to only engage if the extension of the brace 201 is beyond what the UFPs 211 can accommodate. For example, the grooved dissipaters 255 may engage at a certain level such as the Maximum Considered Earthquake (MCE) but the grooved dissipaters 255 can be adjusted or designed to activate at any desired displacement or force demand in the brace 201.
[0109] In the compressed configuration of
[0110] At the end of a seismic event, depending on the forces involved, the brace 201 may return to the neutral position shown in
[0111] In the embodiment of
[0112] In the arrangement of
[0113] Other types of supplementary dissipaters could be used in place of the grooved dissipaters. For example,
[0114] Metal plates 271 such as brass shims are positioned between the cap plates 267 and the first member 203. The first member 203 and the friction plates 271 have apertures that correspond to the bolt diameter, for receiving the shank of the bolt. The bolts 275 clamp the plates 271 between the first member 203 and the cap plates 267 creating a friction connection. As the brace 201 is stretched or compressed, the bolts 275 will slide longitudinally along the slots 269, dissipating energy by friction, until the bolts 275 hit the end of their respective slot 269. Thereafter, the UFPs will activate to dissipate energy. The friction force in the slotted bolt damper is proportional to the clamping force applied by the bolt 275, and can be adjusted by tightening or loosening the bolt.
[0115]
[0116] Compared to the brace of
[0117] The thickness, width, and radius of the double UFPs 627 attached to the first end connector 615 are preferably different to those of the internal UFPs 611 on the second member 607 such that they have a larger combined capacity than the internal UFPs 611. The first member 603 will start moving relative to the first end connector, engaging the double UFPs 627 615 as soon as the internal UFPs 611 reach their force or displacement limits (
[0118]
[0119] As a further option, instead of connecting supplementary UFPs between the first member 603 and the end connector 615, UFPs could be attached externally to one end of the brace 601.
[0120] The supplementary dissipaters could alternatively be configured such that they activate before the internal UFPs connected between the first and second members. This would mean only the supplementary dissipaters would engage during after a minor loading event, and the internal UFPs could be configured to yield in a maximum considered earthquake event.
[0121] Self-Centring Multi-Performance Brace
[0122]
[0123] Compared to the self-centring brace 101 of
[0124] The grooved dissipaters 355 cause the brace 301 to behave differently under different level earthquakes and provide extra energy dissipation to the UFPs 311 and tendons 351 in the brace 301 and protects the tendons 351 from yielding or fracture. During an earthquake, the UFPs 311 and tendons 351 will be stretched and start working, but as soon the demand in the brace 301 exceeds a certain level, the grooved dissipaters 355 will activate to prevent or minimise damage to the UFPs 311 and tendons 351 protecting the integrity of the brace.
[0125] The brace 301 is preferably configured such that the grooved dissipaters 355 activate before the tendons 351 yield, for example at 60% of yielding, to prevent fracture of the tendons 351.
[0126] After loading, the self-centring multi-performance brace 301 will come to neutral as long as the grooved dissipaters 355 have not yielded. If the grooved dissipaters 355 have yielded, there may be residual displacement from grooved dissipaters, but the internal parts will self-centre following an earthquake.
[0127] Alternatively, the supplementary dissipaters may comprise supplementary UFPs such as double UFP dissipaters 627 shown in
[0128] Applications
[0129] The UFP braces described above and shown in
[0130] The packaging of the energy dissipation device, with the UFPs housed within the hollow of the first member provides improved aesthetics compared to existing dampers. These improved aesthetics together with the enhanced seismic behaviour make energy dissipaters according to the present invention more attractive than other readily available dissipaters in the market.
[0131] Mini UFP Device
[0132]
[0133] Two double UFP dissipaters 411 are each bolted to the first and second members 403, 405. Each dissipater 411 comprises a pair of integral, oppositely oriented U-shaped flexural plates 411a, 411b.
[0134] The first member 403 comprises a hollow member such as a square hollow section or a rectangular hollow section, for example, and a threaded end connector 415 for attaching the device 401 to a structural member in a structure such as a building or a bridge. The second member 405 comprises a channel section 407 and a threaded end connector 417. The double UFPs 411 are bolted to the channel 407 and to a wall of the square hollow section 403.
[0135]
[0136]
[0137] At the end of a seismic event, once all of the energy has been dissipated from the structure, the device 401 may return to the neutral position shown in
[0138] The capacity of this UFP device depends on the radius, thickness, width and the number of bolted UFPs 411a, 411b or double UFPs.
[0139] Mini UFP devices such as that shown in
[0140] The double UFPs 411 in the mini UFP device 401 may comprise mild steel, shape memory alloy, or any other type of yielding metal such as aluminium. Instead of double UFPs, the mini device 401 may alternatively comprise a plurality of single UFPs 11.
[0141] Alternatively, the dissipaters 411 may comprise shape-memory alloys to provide self-centring functionality. Shape-memory alloys have unique characteristics such as shape memory effects, high damping, and temperature-induced phase change characteristics. For superelastic shape-memory alloys, the nonlinear deformation is reversible unlike other plastically deforming metals such as mild steel.
[0142] For example, the dissipaters may comprise a superelastic shape-memory alloy, which displays temperature-induced phase change characteristics, or Nitinol (NiTi) shape-memory alloy, for which the phase change can be stress-induced at room temperature. The material may be selected to have the desired hysteretic behaviour, for example flag-shaped hysteretic behaviour.
[0143] In some embodiments of the mini dampers self centring of the device may be provided with stiff springs or post-tensioned tendons arranged in series with ring springs to control yielding of the tendons.
[0144] In addition to providing self-centring, embodiments having shape-memory alloy UFPs advantageously provide highly reliable energy dissipation based on a repeatable solid state phase transformation, flag-shaped hysteretic damping, excellent low and high-cycle fatigue properties, and excellent corrosion resistance.
[0145] If necessary, the capacity of the mini device 401 can be significantly increased by increasing the thickness of the double UFPs 411, without any changes to the overall external dimensions of the device 401.
[0146] Multi-Performance Mini UFP Device
[0147]
[0148] Each UFP 511 comprises two UFPs 531, 533 nested one inside the other. The nested UFPs 531, 533 are bolted together to the first and second members 503, 507. This increases the overall capacity of the dissipater 501. The nested UFPs 531, 533 provide redundancy if the inside or outside UFP is fractured after a number of cycles. In such a case, the non-fractured UFP will protect the overall integrity of the dissipater and the connections. This can help minimise low-cycle fatigue issues, which can be problematic for small radius UFPs.
[0149]
[0150] The spacers 735, 735 in the embodiments of
[0151] The embodiment of
[0152] Referring to
[0153] The bolt 775 is tightened to apply a clamping force between the friction plates and the second end connector plate 717, creating a friction connection. The friction force is proportional to the clamping force applied by the bolt 275, and can be adjusted by tightening or loosening the bolt 775. The clamping force and thereby the friction force and damping force can be selected such that the friction damper activates before or after the internal UFP arrangements 711.
[0154] For example, if the friction damper 770 is configured to activate before the internal UFP arrangements 711, as the brace 701 is stretched or compressed, the bolt 775 will move in the slots 781 to dissipate energy by friction. Once the bolt 775 hits the end of the slot 781, the UFPs arrangements 711 will activate to dissipate energy.
[0155] All of the embodiments described above provide the advantage of simple, non-intrusive repair work. The dampers generally will not require any repair work following dozens of design level earthquakes. This minimises life-cycle maintenance costs.
[0156] The mini devices can be relatively small and light and do not need a crane to be removed from a structure. After yielding of the UFPs, the mini device may be removed from the structure and the yielded UFPs replaced with new UFPs, while all other parts can be re-used. The device may then be wound back into the structure.
[0157] In all of the energy dissipation devices described herein, during displacement of the devices, elastic flexing of the energy dissipater components may initially occur under preliminary loading/displacement so that strain energy is dissipated. Plastic deformation of the energy dissipater components may then occur if sufficient loading/displacement occurs beyond the yield point, so that hysteretic energy is dissipated by the energy dissipation device.
[0158] Preferred embodiments of the invention have been described by way of example only and modifications may be made thereto without departing from the scope of the invention.
[0159] For example, the number of bolted UFPs and/or the number of redundant UFPs may vary to that shown in the attached figures. Some embodiments of the invention may comprise non-UFP yielding bolted and redundant dampers. For example I- or H-section members.
[0160] Relative dimensions of parts in the embodiments shown are for illustrative purposes only and may vary. For example, the devices may be significantly shorter or longer than shown.
[0161] Experimental Data
[0162] Tests were carried out to establish the performance characteristics and feasibility of various embodiments of the energy dissipating devices, as described below.
[0163] UFP Brace
[0164] The brace 1 of
[0165] Testing was carried out using a 10,000 kN Dartec machine. The loading sequence was according to the American Institute of Steel Construction (AISC) Seismic Provisions for structural steel buildings (ANSI/AISC 341-05)qualifying cyclic tests of buckling-restrained braces. AISC 341-05 prescribes applying loads to the test specimen to produce the following deformations, where the deformation is the steel core axial deformation for the test specimen: [0166] 1. 2 cycles of loading at the deformation corresponding to b=by [0167] 2. 2 cycles of loading at the deformation corresponding to b=0.50bm [0168] 3. 2 cycles of loading at the deformation corresponding to b=1bm [0169] 4. 2 cycles of loading at the deformation corresponding to b=1.5bm [0170] 5. 2 cycles of loading at the deformation corresponding to b=2.0bm [0171] 6. Additional complete cycles of loading at the deformation corresponding to b=1.5bm as required for the brace test specimen to achieve a cumulative inelastic axial deformation of at least 200 times the yield deformation.
[0172] Where:
b=deformation quantity used to control loading of the test specimen
by=Value of deformation quantity at first significant yield of test specimen
bm=Value of deformation quantity corresponding to design storey drift
[0173] For the UFP damper, by was calculated from the UFP geometry (by=3.2 mm) according to the method presented by Andrew Baird, Tobias Smith, Alessandro Palermo, and Stefano Pampanin (2014). Experimental and Numerical Study of U-Shape Flexural Plate (UFP) Dissipators, Proceedings of 2014 New Zealand Society for Earthquake Engineering Conference, Auckland, New Zealand. bm was set to 15 mm. By utilising the procedure outlined in AISC 341-05, the brace was tested for the following loading sequence at a lower speed rate (less than 10 mm/s): [0174] 1. 2 cycles of loading at the deformation corresponding to b=3.2 mm [0175] 2. 2 cycles of loading at the deformation corresponding to b=7.5 mm [0176] 3. 2 cycles of loading at the deformation corresponding to b=15 mm [0177] 4. 2 cycles of loading at the deformation corresponding to b=22.5 mm [0178] 5. 2 cycles of loading at the deformation corresponding to b=30 mm [0179] 6. 8 cycles of loading at the deformation corresponding to b=22.5 mm
[0180]
[0181]
[0182] At the end of testing, there was a residual displacement of 16 mm in the UFP brace 1, which required a force of 52 kN to re-centre the brace. Alternatively, the brace could be returned to the initial neutral position by unbolting the UFPs and allowing the second member to move relative to the first member. From a seismic performance perspective, the non-centring UFP brace 1 offers advantages as described above, over other non-centring dampers in the market, such as BRBs.
[0183] Self-Centring Brace
[0184] The brace 101 of
[0185] The ratio of axial force provided by the tendons divided by the axial force of the combined UFPs (the re-centring ratio), is preferably about 1.5 to achieve full re-centring of the device at a design displacement level. Given a re-centring ratio, the initial post-tensioning force in the tendons can be calculated. For displacements above the design level displacement, the re-centring ratio will be higher at those particular displacements because the tension in the tendon will increase with further displacement to increase the overall brace capacity.
[0186] To show how initial post-tensioning affects the capacity of the brace 101, tests were carried out with two different levels of initial post-tensioning in the tendons 151. A re-centring ratio greater than 1.5 was imposed at the design displacement level.
[0187] For the first test, the total initial post-tensioning force in all four tendons 151 was equal to 58 kN. This equates to an initial post-tensioning force of 14.5 kN per tendon. This force corresponds to almost 10% of the yielding force for the tendon 151. The capacity of the brace 101 was set to 450 kN at the design displacement (22.5 mm). The re-centring ratio (force in tendons 151/force in the UFPs 111) was 4 (high re-centring) at the design displacement of 22.5 mm.
[0188] Calculations for initial post-tensioning in the tendons need to account for post-tensioning losses (due to friction, anchorage loss, relaxation etc), these are part of the design process for the brace.
[0189] The testing loading sequence for the centring brace 101 was similar to that from AISC 341-05 used for the non-centring UFP damper 1: [0190] 1. 2 cycles of loading at the deformation corresponding to b=3.2 mm [0191] 2. 2 cycles of loading at the deformation corresponding to b=2.5 mm [0192] 3. 2 cycles of loading at the deformation corresponding to b=5 mm [0193] 4. 2 cycles of loading at the deformation corresponding to b=7.5 mm [0194] 5. 2 cycles of loading at the deformation corresponding to b=10 mm [0195] 6. 8 cycles of loading at the deformation corresponding to b=22.5 mm
[0196]
[0197] At the end of the test there was less than 5 mm residual displacement. The level of force (initial post-tensioning) in the tendons 151 had dropped because the force in the tendons was insufficient to overcome the capacity of the UFPs during the last steps of unloading. The drop in tendon tension is a result of inadequate initial post-tension to re-centre the UFPs during last steps of unloading process. This problem can be addressed by increasing the initial post-tensioning in the tendons to a level that can overcome the capacity of the UFPs during unloading.
[0198] The reduced energy dissipation represented thin hysteresis or smaller enclosed area in
[0199] To illustrate these characteristics and the effect of re-centring on the area enclosed inside a flag-shape hysteresis,
[0200] The force-displacement hysteresis of the UFPs in
[0201] To get an ideal flag-shape hysteresis, the initial post-tensioning force in the tendon of the modelled brace was increased to 46 kN.
[0202] For a second experimental case, to demonstrate full re-centring, the level of initial post-tensioning in the each tendon was increased to 34.5 kN (22% of tendon yielding capacity). Since most parts of the brace 101 were made using readily materials available, the maximum force for parts, fittings, and existing welding connections was set to be less than 500 kN to protect any failure. The maximum displacement for a higher initial post-tensioning force subsequently needed to be less than 22.5 mm. In this case, the displacement was set to 15 mm here for a total of 138 kN initial post-tensioning force in four tendons (34.5 kN/tendon).
[0203] The following loading sequence from AISC 341-05 was used for the second test: [0204] 1. 2 cycles of loading at the deformation corresponding to b=3.2 mm [0205] 2. 2 cycles of loading at the deformation corresponding to b=3.75 m [0206] 3. 2 cycles of loading at the deformation corresponding to b=7.5 mm [0207] 4. 2 cycles of loading at the deformation corresponding to b=11.25 mm [0208] 5. 2 cycles of loading at the deformation corresponding to b=15 mm [0209] 6. 15 cycles of loading at the deformation corresponding to b=11.25 mm
[0210]
[0211] Multi-Performance Embodiments
[0212] The performance of a grooved dissipater 255, 355 was tested to establish the feasibility of the multi-performance brace embodiments 301, 201. With reference to
[0213] The following loading sequence from was used for the first test for tensile loading only: [0214] 1. 3 cycles of loading at the deformation corresponding to 1=2 mm [0215] 2. 3 cycles of loading at the deformation corresponding to 2=3.5 mm [0216] 3. 3 cycles of loading at the deformation corresponding to 3=6 mm [0217] 4. 3 cycles of loading at the deformation corresponding to 4=10 mm [0218] 5. 3 cycles of loading at the deformation corresponding to 5=15 mm [0219] 6. 3 cycles of loading at the deformation corresponding to 6=25 mm
[0220] Where 1 is the amplitude of maximum targeted displacement for the first three cycles, 2 is the amplitude of maximum targeted displacement for the second three cycles, etc.
[0221] The following loading sequence from was used for the second test under both tension and compression: [0222] 1. 3 cycles of loading at the deformation corresponding to 1=2 mm [0223] 2. 3 cycles of loading at the deformation corresponding to 2=3.5 mm [0224] 3. 3 cycles of loading at the deformation corresponding to 3=6 mm [0225] 4. 3 cycles of loading at the deformation corresponding to 4=10 mm [0226] 5. 3 cycles of loading at the deformation corresponding to 5=15 mm
[0227] The results for the cyclic testing of the grooved dissipater for the first and second tests are shown in
[0228] Mini UFP Brace
[0229] Three identical mini UFP brace prototypes similar to the brace 401 of
[0230] The loading sequences were similar to those described above for the other embodiments.
[0231] Each of the three prototypes was subject to a first loading sequence that involved subjecting the brace to a tensile load and then returning it to its initial position. This was carried out at a lower speed rate (1 mm/sec). This sequence may be applicable to applications for the damper in rocking bridge columns: [0232] 1. 4 cycles of loading at the deformation corresponding to b=2 mm [0233] 2. 4 cycles of loading at the deformation corresponding to b=5 mm [0234] 3. 4 cycles of loading at the deformation corresponding to b=10 mm [0235] 4. 4 cycles of loading at the deformation corresponding to b=15 mm [0236] 5. 4 cycles of loading at the deformation corresponding to b=20 mm [0237] 6. 14 cycles of loading at the deformation corresponding to b=15 mm
[0238] by was calculated from the UFP geometry (by=2 mm) according to the method presented by Baird et al. 2014. bm was set to 10 mm.
[0239] One of the prototypes was subject to a second loading sequence that involved subjecting the brace to tension and then compression. This replicates a very severe loading scenario, applicable to applications where the mini brace is used in tension/compression bracing. The second loading sequence presented involved the following steps: [0240] 1. 2 cycles of loading at the deformation corresponding to b=2 mm [0241] 2. 2 cycles of loading at the deformation corresponding to b=5 mm [0242] 3. 2 cycles of loading at the deformation corresponding to b=10 mm [0243] 4. 2 cycles of loading at the deformation corresponding to b=15 mm [0244] 5. 2 cycles of loading at the deformation corresponding to b=20 mm [0245] 6. 7 cycles of loading at the deformation corresponding to b=15 mm
[0246] This second loading sequence was included to show that the mini UFP dampers can work in both compression and tension with similar capacity without any low cycle fatigue.
[0247]
[0248] In practice, if the mini UFP dampers are used in controlled post-tensioned rocking columns or beam-column joints, then the self-centring can be provided to the dissipaters from the beam/column elastic stiffness or inertial forces from the structure.
[0249] The second loading sequence caused the bolts between the one of the double UFPs 411 and the channel of the second member 405 to fracture and other bolts connected to the UFPs 411 to deform. The force-displacement hysteresis results (