MEMS MASS-SPRING-DAMPER SYSTEMS USING AN OUT-OF-PLANE SUSPENSION SCHEME
20180023952 ยท 2018-01-25
Inventors
- Ahmed Kamal Said Abdel Aziz (Cario, EG)
- Abdel Hameed Sharaf (New Cairo, EG)
- Mohamed Yousef Serry (Cairo, EG)
- Sherif Salah Sedky (Giza, EG)
Cpc classification
B81B3/0062
PERFORMING OPERATIONS; TRANSPORTING
G01C19/5719
PHYSICS
G01P2015/082
PHYSICS
International classification
G01C19/5719
PHYSICS
B81B3/00
PERFORMING OPERATIONS; TRANSPORTING
Abstract
MEMS mass-spring-damper systems (including MEMS gyroscopes and accelerometers) using an out-of-plane (or vertical) suspension scheme, wherein the suspensions are normal to the proof mass, are disclosed. Such out-of-plane suspension scheme helps such MEMS mass-spring-damper systems achieve inertial grade performance. Methods of fabricating out-of-plane suspensions in MEMS mass-spring-damper systems (including MEMS gyroscopes and accelerometers) are also disclosed.
Claims
1. A MEMS gyroscope, comprising: a. a shared proof mass; b. one or more anchors; c. one or more movable combs; and d. a plurality of suspensions; e. wherein said plurality of suspensions are out-of-plane with said shared proof mass.
2. The MEMS gyroscope of claim 1, wherein said MEMS gyroscope is an inertial grade MEMS gyroscope.
3. The MEMS gyroscope of claim 1, wherein said shared proof mass, together with said one or more movable combs, have a combined weight ranging from 30 g to 3 mg.
4. The MEMS gyroscope of claim 1, wherein said shared proof mass is positioned below said suspensions.
5. The MEMS gyroscope of claim 1, wherein said suspensions have a cross-section ranging from 55 m.sup.2 to 100100 m.sup.2.
6. The MEMS gyroscope of claim 1, wherein said suspensions have a length ranging from 150 m to 600 m.
7. The MEMS gyroscope of claim 1, wherein said one or more movable combs rest on said suspensions.
8. The MEMS gyroscope of claim 1, wherein said one or more movable combs are comprised of first and second sense combs and first and second drive combs.
9. The MEMS gyroscope of claim 1, wherein said MEMS gyroscope is a three-fold symmetric gyroscope.
10. The MEMS gyroscope of claim 1, wherein said shared proof mass, said one or more anchors, said one or more movable combs, and said suspensions are comprised of crystalline Silicon.
11. The MEMS gyroscope of claim 1, wherein said MEMS gyroscope is bulk micromachined.
12-23. (canceled)
24. A quad-mass MEMS gyroscope, comprising: a. a plurality of proof masses; b. one or more anchors; c. one or more movable combs; and d. a plurality of suspensions; e. wherein said suspensions are out-of-plane with said proof masses.
25. The quad-mass MEMS gyroscope of claim 24, wherein said one or more movable combs are comprised of a plurality of sense combs and a plurality of drive combs.
26. The quad-mass MEMS gyroscope of claim 25, wherein each proof mass has its own respective drive comb, but said sense combs are shared by said proof masses.
27. A MEMS mass-spring-damper system, comprising: a. at least one proof mass; and b. a plurality of suspensions; c. wherein said suspensions are out-of-plane with said at least one proof mass.
28. The MEMS mass-spring-damper system of claim 27, wherein said MEMS mass-spring-damper system is an inertial grade range MEMS mass-spring-damper system.
29. The MEMS mass-spring-damper system of claim 27, wherein said MEMS mass-spring-damper system is bulk micromachined.
30. A method for fabricating a vertical suspension in a substrate in a MEMS mass-spring-damper system, said method comprising the steps of: a. realizing a first side and a second side of said vertical suspension by selectively etching through a top surface of said substrate; and b. realizing a third side and a fourth side of said vertical suspension by selectively etching through a bottom surface of said substrate.
31. The method of claim 30, wherein said etching in steps (a) and (b) is performed using DRIE.
32. The method of claim 30, wherein said MEMS mass-spring-damper system is an inertial grade MEMS gyroscope.
33. The method of claim 30, wherein said MEMS mass-spring damper system is an inertial grade MEMS accelerometer.
Description
BRIEF DESCRIPTION OF THE FIGURES
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DETAILED DESCRIPTION
Gyroscope
[0029]
[0030] The shared proof mass 20 may be located at the center of said gyroscope 10, and may have first, second, third, and fourth edges and first, second, third, and fourth corners. In some embodiments, the shared proof mass 20 may be square-shaped. The shared proof mass 20 (as well as the other components of the gyroscope 10) may be made of any dielectric substance. In some embodiments, the shared proof mass 20 may be comprised of crystalline Silicon (Si). Also in some embodiments, there may be a layer of oxide dividing the shared proof mass 20 into an upper and a lower mass. During operation of the gyroscope 10, the shared proof mass 20 may vibrate. Where there is a rotation of the gyroscope 10, the shared proof mass 20 may experience a secondary vibration, or vibrate in an orthogonal direction. Such secondary vibrations may be used to determine the angular velocity (and thus angular displacement) of the object or device to which the gyroscope 10 is affixed or connected.
[0031] Each anchor 30a-d of the gyroscope 10 may lie parallel with an edge of said shared proof mass 20, such that, for example, the first anchor 30a lies parallel with the first edge of the shared proof mass 20. Each anchor 30a-d may have a first corner and a second corner. In some embodiments, the anchors 30a-d may have the same range of length and thickness as the shared proof mass 20, and further may each have a width ranging from 200 m to 400 m. Varying the dimensions of said anchors should generally not affect the performance of the gyroscope 10. In some embodiments, the anchors 30a-d may be made of crystalline Si. The anchors 30a-d may be used to fix, or anchor, the gyroscope 10 and/or the components thereof to the substrate on which the gyroscope 10 rests.
[0032] Suspensions 60 may extend out-of-plane, or vertically or upward, from the first and second corners of the anchors 30a-b. Suspensions 60 may similarly extend out-of-plane from the first, second, third, and fourth corners of the shared proof mass 20. Thus, in some embodiments, said shared proof mass 20 may rest below the suspensions 60, and, in certain of such embodiments, in plane with the anchors 30a-b. Also in some embodiments, said suspensions 60 may have a cross-section ranging from 55 m.sup.2 to 100100 m.sup.2, and, in certain of such embodiments, have a cross-section of 1070 m.sup.2. Also in some embodiments, said suspensions 60 may have a length ranging from 150 m to 600 m, and, in certain of such embodiments, have a length of 250 m. The cross-sectional dimensions and the length of the suspensions 60 may affect the stiffness constant of said suspensions 60, which may affect such sensor's resonant frequency, support losses, quality factor, and/or noise level, as well as rotation rate. Generally speaking, increasing the size of a suspension's 60 cross-section increases its stiffness, and increasing a suspension's 60 length decreases its stiffness. The cross-section and length of the suspensions 60 should be designed so as to minimize suspension 60 stiffness. In some embodiments, the suspensions 60 may be made of crystalline Si.
[0033] Said suspensions 60 may provide support for the movable combs. In some embodiments, said movable combs may be comprised of first and second drive combs 40a-b and first and second sense combs 50a-b. The first and second drive combs 40a-b may have first, second, third, and fourth corners. Similarly, the first and second sense combs 50a-b may have first, second, third, and fourth corners. Said suspensions 60, extending from said anchors 30a-d and said shared proof mass 20, may connect with said corners of said combs 40a-b, 50a-b, with said combs 40a-b, 50a-b resting on top of said suspensions 60.
[0034] In some embodiments, the drive combs 40a-b and sense combs 50a-b may have the same dimensions as one another, and the gyroscope 10 may be a three-fold-symmetric gyroscope (3FSG). In other words, the gyroscope 10 may have three geometrical symmetries: about the center line, parallel to the X-axis; about the center line, parallel to the Y-axis; and about the diagonal of the gyroscope 10. Such symmetry aids in matching the driving and sense modes of said gyroscope 10. The drive combs 40a-b may be used for the actuation of the spring-mass-damper system (for example, in the X-direction). When a rotational rate is applied (for example, in the Z-direction), the sense combs 50a-b may be used to sense the Coriolis force in the cross-product direction (for example, in the Y-direction). In some embodiments, the combs 40a-b, 50a-b may be made of crystalline Si.
[0035] The total proof mass of the gyroscope 10 may be the shared proof mass 20 plus two combs 40a-b, 50a-b. In some embodiments, the total drive proof mass may be the shared proof mass 20 plus the first and second drive combs 40a-b, and, similarly, the total sense proof mass may be the shared proof mass 20 plus the first and second sense combs 50a-b. The total proof mass may have a length and width ranging from 100 m to 3 mm and a thickness ranging from 10 m to 300 m. In certain embodiments, the total proof mass may be 1200 m1200 m200 m, and have a proof mass area fill factor of 73.4%. Also in some embodiments, the total proof mass may have a weight ranging from 30 g to 3 mg. In certain embodiments, the two combs 40a-b, 50a-b may comprise less than 10% of the area and weight of the total proof mass.
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Accelerometer
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[0038] The proof mass 120 may be located at the center of said accelerometer 110, and may have first, second, third, and fourth corners. In some embodiments, there may be a layer of oxide dividing the proof mass 120 into an upper mass 122a and a lower mass 122b. Also in some embodiments, the upper mass 122a and lower mass 122b may have a length and width ranging from 100 m to 3 mm, as well as a thickness ranging from 10 m to 300 m. Also in some embodiments, the proof mass 120 may have a weight ranging from 30 g to 3 mg. As with the gyroscope, increasing the weight of the proof mass 120 may improve the sensitivity of the accelerometer 110, while increasing the dimensions of the proof mass 120 may detrimentally affect performance. The proof mass 120 (as well as the other components of the accelerometer 110) may be made of any dielectric substance. In some embodiments, the proof mass 120 may be made of crystalline Si. Where the object or device to which the accelerometer 110 is affixed or connected to moves, the proof mass 120 will vibrate or be displaced. Such vibration or displacement may be used to determine the angular acceleration of such object or device.
[0039] Each anchor 130a-d of the accelerometer 110 may lie at or around a corner of the proof mass 120, such that, for example, the first anchor 130a lies at or around the first corner of the proof mass 120. Each anchor 130a-d may have a first corner. Varying the dimensions of said anchors 130a-d should generally not affect the performance of the accelerometer 110. In some embodiments, the anchors 130a-d may be made of crystalline Si. The anchors 130a-d may be used to fix, or anchor, the accelerometer 110 and/or the components thereof to the substrate on which the accelerometer 110 rests.
[0040] Suspensions 160 may extend out-of-plane, or vertically or upward, from the first corners of the anchors 130a-d, and may connect with the first, second, third, and fourth corners of the proof mass 120. Thus, in some embodiments, the proof mass 120 may rest on top of said suspensions 160. Such configuration is consistent with the function of an accelerometer, which need only sense in a single mode. In some embodiments, said suspensions 160 may have a cross-section ranging from 55 m.sup.2 to 100100 m.sup.2. Also in some embodiments, said suspensions 160 may have a length ranging from 250 m in to 600 m. The cross-sectional dimensions and length of the suspensions 160 may affect the stiffness constant of said suspensions 160, as such dimensions and length similarly affect the gyroscope 10 (as described above), and, more specifically, may affect the resolution in acceleration. In some embodiments, the suspensions 160 may be made of crystalline Si.
[0041]
Quad-Mass MEMS Gyroscopes and Other Sensors
[0042] The use of out-of-plane (or vertical) suspensions provides a further benefit with respect to multi-mass sensors. By way of example, multi-mass gyroscopes may be implemented by situating two prior art dual-mass gyroscopes 210a, 210b next to each other, facing in opposite directions, as can be seen in
[0043] As can be from
[0044] As should be obvious to one skilled in the art, the out-of-plane (or vertical) suspension scheme presented herein is not limited to use in respect of gyroscopes, accelerometers, and quad-mass gyroscopes, but rather can be used in other MEMS sensory systems. Specifically, such out-of-plane suspension scheme can be used in any MEMS MSD system (including, by way of example and without limitation, radio frequency MEMS resonators and MEMS-based mechanical filters), as MSD systems use a mass attached to a suspension to detect and/or determine sensory information.
Method of Fabrication
[0045] The MEMS MSD systems of the present invention, including MEMS gyroscopes and accelerometers, can be fabricated using various types of micromachining. By way of example, various type of bulk micromachining may be used, including, without limitation, deep reactive ion etching (DRIE), LIGA, and electroforming. Bulk micromachining provides a number of advantages over surface micromachining. For example, bulk micromachining allows for a sensor with a larger proof mass and improved capacitance. Also by way of example, with surface micromachining, the lateral (in-wafer-plane) dimensions are generally tighter than those allowed by bulk micromachining techniques, in part due to the inherent mechanical stresses and stress gradient of surface micromachined structural layers.
[0046] As previously described, the MEMS MSD systems of the present invention use out-of-plane suspensions. The following steps represent an embodiment of the manufacturing process that may be used to fabricate such out-of-plane suspensions in such MEMS MSD systems. First, a dielectric substrate 500 may be etched from the top surface 502 to form the first two sides of an out-of-plane suspension 506a-b, as can be seen in
[0047] Methods of fabricating an embodiment of a MEMS gyroscope of the present invention and an embodiment of a MEMS accelerometer of the present invention will now be presented, as applications of the fabrication process described in the preceding paragraph. Although the following methods are presented in a specific sequence, other sequences may be used and certain steps omitted or added. It should be noted that the shapes of any etchings, and the dimensions of such shapes, as well as the shapes and depths of any deposited metal, will be dictated by the desired dimensions and shapes of the sensor and the components thereof, as will be obvious to one having ordinary skill in the art.
MEMS Gyroscope
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MEMS Accelerometer
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Test Results
MEMS Gyroscope
[0068] An embodiment of a MEMS gyroscope of the present invention was tested against a prior art MEMS gyroscope, as such prior art gyroscope is described in the following publication: A. Shaun, F. Zaman, B. Amini, F. Ayazi, A High-Q In-Plane SOI Tuning Fork Gyroscope, IEEE, 2004, pp. 467-470. Such gyroscopes had the same sensor area, 2 mm.sup.2, and wafer thickness, 675 m. The key difference between such gyroscopes was that the prior art MEMS gyroscope used in-plane suspensions, whereas the MEMS gyroscope of the present invention used out-of-plane suspensions. With respect to the MEMS gyroscope of the present invention, such tests were performed using COMSOL Multiphysics v3.5. The performance results of the prior art gyroscope were obtained from the aforementioned publication. A comparison of the performance of each gyroscope can be seen in the following Table 1.
TABLE-US-00001 TABLE 1 Prior Art Embodiment of the Performance Measure Design Present Invention 1. Dimensions of the 570*570* 1200*1200*200 Total Proof Mass 40 m.sup.3 m.sup.3 and Proof Mass PMAFF~17% PMAFF~73.4% Area Fill Factor PMVFF~1% PMVFF~22% (PMAFF) and (The effective mass is around Proof Mass 22 times larger due to area and Volume Fill thickness expansion inherent Factor (PMVFF) with the novel gyroscope architecture.) 2. Total Proof Mass 0.03 mg 0.67 mg (M.sub.e) (The resulting mass is in the order of 1 mg.) 3. Resonance 17.4 KHz 3.7 KHz Frequency (F.sub.r) for (The frequency is still high in the Same Stiffness this embodiment because of and Support the Poly-Silicon material Losses properties.) 4. Quality Factors 81,000 and 380,000 and 300,000 for Drive and 64,000 (These will be limited or Sense Modes clipped by the Q values due (Q.sub.d and Q.sub.s) to finite support losses and thermo-elastic damping.) 5. Theoretical 0.3/hr 0.014/hr Mechanical (The noise floor is reduced by Noise Equivalent a factor of 22, and is deeply in Angular Rate the inertial grade range.) (MNE) 6. Drive Mode 1 m 4.69 m Amplitude (X.sub.d) for the Same Drive Voltage 7. Sense Mode 1 nm 103 nm Amplitude (X.sub.s) (The Coriolis displacement sensed at the output is more than two orders of magnitude more.) 8. Drive and Sense 0.16 pF 0.34 pF Capacitances (C.sub.d (The capacitance is increased and C.sub.s) due to improving the PMAFF, but the active or electrical thickness is the same.) 9. Parasitic or 100*570 m.sup.2 100*100 m.sup.2 Coupling (The parasitic capacitance is Sustaining Area reduced by a factor of 5.7 as a for the Same SOI result of the suggested support Oxide Thickness for the fixed combs.) 10. Electrical Output 1.25 mV//s 125 mV//s Sensitivity (S.sub.e) 11. Signal to Noise 4.17 mV//hr 9.166 mV//hr Ratio (SNR) (The SNR is improved by 2200 times or more than three orders of magnitude,)
[0069] As can be seen in Table 1, with the MEMS gyroscope of the present invention, the total proof mass size is increased by more than an order of magnitude (i.e., ten times) in the same overall device area (i.e., 2 mm.sup.2). The quality factor, drive amplitude, and resonance frequency are improved by a factor of 4.7. The dominating Brownian noise floor is lowered by a factor of 22, i.e., more than an order of magnitude. Furthermore, the sensed Coriolis displacement, output signal, and sensor sensitivity are improved by a factor of 103. Finally, the SNR is improved by more than three orders of magnitude.
[0070] Table 2 shows the resonance frequency and coupling percentage for various embodiments of a MEMS gyroscope of the present invention. Such simulation results were obtained using COMSOL Multiphysics v3.5. As can be seen from this table, the decoupling ratio of such various embodiments of a MEMS gyroscope of the present invention are in the same range as prior art MEMS gyroscopes (i.e., MEMS gyroscopes using in-plane suspensions). Thus, the MEMS gyroscopes of the present invention can provide improved performance (as shown in Table 1) without detrimentally affecting other performance measures.
TABLE-US-00002 TABLE 2 Shared Proof Mass 800 m 1000 1000 1000 1800 Side Length m m m m Shared Proof Mass 100 m 100 m 100 m 100 m 100 m Thickness Width of the 100 m 100 m 100 m 100 m 100 m Flying Comb Portion Suspension Cross- 10*70 10*70 10*50 10*50 10*70 Section m.sup.2 m.sup.2 m.sup.2 m.sup.2 m.sup.2 Dimensions Suspension Length 300 m 400 m 400 m 300 m 400 m Resonance 20.1 7.8 8.4 KHz 11.9 KHz 4.9 KHz Frequency KHz KHz Coupling 2.3% 2.0% 1.7% 1.6% 1.4% Percentage
MEMS Accelerometer
[0071] Embodiments of a MEMS accelerometer of the present invention were tested against a prior art MEMS accelerometer, as such prior art accelerometer is described in the following publication: B. V. Amini and F. Ayazi, Micro-Gravity Capacitive Silicon-On-Insulator Accelerometers, Journal of Micromechanics, Vol. 15, No. 11, October 2005, pp. 2113-2120. The key difference between the accelerometers was that the prior art MEMS accelerometer used in-plane suspensions, whereas the MEMS accelerometers of the present invention obviously used out-of-plane suspensions. With respect to the MEMS accelerometers of the present invention, such tests were performed using COMSOL Multiphysics v3.5. The performance of the results of the prior art gyroscope were obtained from the aforementioned publication. A comparison of the performance of each accelerometer can be seen in the following Table 3.
TABLE-US-00003 TABLE 3 Embodiment of the Embodiment of the Prior Art Present Invention Present Invention Performance Measure Design With Reduced Area With Same Area Area of the Proof Mass 12 1.65 12 (mm.sup.2) Proof Mass 1.7 0.98 7.1 (mg) Resonance Frequency 2000 670 250 (Hz) Brownian Noise Floor 0.7 0.842 0.19 (g Hz.sup.1/2) Static Sensitivity >0.2 >0.07 >0.98 (pF g.sup.1)
[0072] As can be seen from Table 3, the MEMS accelerometer of the present invention can provide the same or similar performance as the prior art design, but with less than 15% of the proof mass area. The resulting resonance frequency is 66% less. Moreover, with the present invention, the Brownian noise floor will remain sub-g. Furthermore, when the MEMS accelerometer of the present invention is designed to use the same device area as the prior art design, performance is significantly improved. First, the proof mass becomes rather large (approximately 7 mg). Further, the resonance frequency is decreased to 250 Hz, which is less than 13% of the resonance frequency of the prior art design. In addition, the Brownian noise floor is deeply in the inertial grade range. Finally, with the present invention, the SNR is improved by more than an order of magnitude.
[0073] Table 4 shows the resonance frequency and coupling percentage for various embodiments of a MEMS accelerometer of the present invention. Such simulation results were obtained using COMSOL Multiphysics v3.5. This table shows the range of resonant frequencies that be achieved using the present invention with a small proof mass.
TABLE-US-00004 TABLE 4 Upper Mass 1500*1500* 1500*1500* 1500*1500* 1500*1500* Dimensions (m) 100 100 100 100 Lower Mass 1500*1500* 1500*1500* 1500*1500* 1440*1440* Dimensions (m) 100 100 100 100 Suspension Cross- 10*30 10*30 10*30 10*30 section Dimensions (m) Suspension 250 300 350 450 Length (m) Resonance 5389 4121 3288 2316 Frequency (Hz)