Crankshaft for reciprocating engine
10012260 ยท 2018-07-03
Assignee
Inventors
- Koichiro Ishihara (Kyoto, JP)
- Kenji Imanishi (Kishiwada, JP)
- Ken Yoshino (Nishinomiya, JP)
- Kunihiro Yabuno (Matsubara, JP)
Cpc classification
F16C3/20
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F16C3/06
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
International classification
F16C3/20
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F16C3/06
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
Abstract
A crankshaft includes: journals that define a central axis of rotation; crank pins that are eccentric with respect to the journals; and crank arms for connecting the journals and the crank pins, wherein each of the crank arms or at least one of the crank arms integrally includes a counterweight. The crank arms have a recess in a surface adjacent to a corresponding one of the journals, the recess disposed inward of a peripheral region along a periphery of the surface, the recess disposed along the peripheral region. With this configuration, it is possible to provide a crankshaft which has reduced weight and increased torsional rigidity in combination with increased flexural rigidity.
Claims
1. A crankshaft for a reciprocating engine, the crankshaft configured to be mounted in a reciprocating engine, the crankshaft comprising: journals that define a central axis of rotation; crank pins that are eccentric with respect to the journals; and crank arms, each of the crank arms connecting a corresponding one of the journals to a corresponding one of the crank pins, wherein each of the crank arms or at least one of the crank arms integrally includes a counterweight, and wherein the crank arms have a recess in a surface adjacent to the corresponding one of the journals, the recess disposed inward of a peripheral region along a periphery of the surface, the recess disposed along the peripheral region, so that, in the crank arm, a central region inward of the recess when viewed in cross section perpendicular to the crank arm centerline and containing the crank pin axis is thicker than the recess, and wherein the peripheral region is thicker than the recess.
2. The crankshaft for a reciprocating engine according to claim 1, wherein the recess extends to a portion of the peripheral region, the portion corresponding to an area in the corresponding one of the crank pins, the area extending from an axis of the crank pin to an eccentrically top portion of the crank pin.
3. The crankshaft for a reciprocating engine according to claim 2, wherein the recess extends to an area of the peripheral region, the area corresponding to the top portion.
4. The crankshaft for a reciprocating engine according to claim 2, wherein the recess extends to a side area of the peripheral region.
5. The crankshaft for a reciprocating engine according to claim 2, wherein the recess extends to two side areas of the peripheral region, the recess being symmetrical with respect to a line connecting an axis of the corresponding one of the journals to the axis of the corresponding one of the crank pins.
6. The crankshaft for a reciprocating engine according to claim 1, wherein, of all the crank arms, a crank arm not having the counterweight has another recess in a surface adjacent to the corresponding one of the crank pins, the other recess disposed inward of a peripheral region along a periphery of the surface, the other recess disposed along the peripheral region.
7. The crankshaft for a reciprocating engine according to claim 2, wherein, of all the crank arms, a crank arm not having the counterweight has another recess in a surface adjacent to the corresponding one of the crank pins, the other recess disposed inward of a peripheral region along a periphery of the surface, the other recess disposed along the peripheral region.
8. The crankshaft for a reciprocating engine according to claim 3, wherein, of all the crank arms, a crank arm not having the counterweight has another recess in a surface adjacent to the corresponding one of the crank pins, the other recess disposed inward of a peripheral region along a periphery of the surface, the other recess disposed along the peripheral region.
9. The crankshaft for a reciprocating engine according to claim 4, wherein, of all the crank arms, a crank arm not having the counterweight has another recess in a surface adjacent to the corresponding one of the crank pins, the other recess disposed inward of a peripheral region along a periphery of the surface, the other recess disposed along the peripheral region.
10. The crankshaft for a reciprocating engine according to claim 5, wherein, of all the crank arms, a crank arm not having the counterweight has another recess in a surface adjacent to the corresponding one of the crank pins, the other recess disposed inward of a peripheral region along a periphery of the surface, the other recess disposed along the peripheral region.
Description
BRIEF DESCRIPTION OF DRAWINGS
(1)
(2)
(3)
(4)
(5)
(6)
(7)
(8)
(9)
(10)
(11)
DESCRIPTION OF EMBODIMENTS
(12) Embodiments of the crankshaft for reciprocating engines according to the present invention will now be described.
(13) 1. Basic Techniques to be Considered in Designing Crankshaft
(14) 1-1. Flexural Rigidity of Crank Arm
(15)
(16) In the case where the diameters of the crank pin P and the journal J have been determined as design specifications, the flexural rigidity of the crank arm A depends on the crank arm shape of each throw. The counterweight W seldom contributes to the flexural rigidity. The displacement u of the axial center of the crank pin P in the direction in which the combustion pressure is applied is proportional to the load F of combustion pressure applied to the crank pin P and is inversely proportional to the flexural rigidity as shown in the following formula (1).
u proportional to F/(Flexural Rigidity)(1)
1-2. Torsional Rigidity of Crank Arm
(17)
(18) In the case where the diameters of the crank pin P and the journal J have been determined as design specifications, the torsional rigidity of the crank arm A depends on the crank arm shape of each throw. The counterweight W seldom contributes to the torsional rigidity. The torsion angle of the journal J is proportional to the torsional torque T and inversely proportional to the torsional rigidity as shown in the following formula (2).
proportional to T/(Torsional Rigidity)(2)
2. Crankshaft of Present Embodiment
2-1. Approach to Increasing Stiffness of Crank Arm
(19) As stated above, the counterweight seldom contributes to the flexural rigidity and torsional rigidity. Accordingly, the present embodiment provides a crank arm shape that can achieve weight reduction and increase of flexural rigidity in combination with increase of torsional rigidity
(20) 2-1-1. Shape for Increasing Torsional Rigidity
(21) Here, an exemplary shape for increasing the torsional rigidity is studied based on the theory of Strength of Materials. For the crank arm A shown in
(22)
(23) Specifically, the rectangular cross section type circular plate shown in
(24) The magnitude relationship between the torsional rigidities of the respective circular plates is investigated under the condition that they are of equal weight. In general, according to the theory of Strength of Materials, there is a relationship between the torsional rigidity, the polar moment of inertia, and the torsion angle as shown in the following formulae (3) to (5). The relationship shown in the formulae indicates that increasing the polar moment of inertia is effective at increasing the torsional rigidity.
Torsional rigidity: GJ/L(3)
Polar moment of inertia: J=(/32)d.sup.4(4)
Torsion angle: =TL/(GJ)(5)
(25) where L represents the axial length, G represents the shear modulus, d represents the radius of the round bar, and T represents the torsional torque.
(26) The condition that the three types of circular plates shown in
(/4)B.sub.0B.sub.0H.sub.0=(/4)(B.sub.0B.sub.0H.sub.1+B.sub.2B.sub.2H.sub.2)=(/4){B.sub.0B.sub.0(H.sub.1+H.sub.3)B.sub.3B.sub.3H.sub.3)}(6)
(27) The polar moments of inertia of the three types of circular plates are expressed by the following formulae (7) to (9), respectively, taking into account the thicknesses.
(28) Polar moment of inertia of a rectangular cross section type circular plate:
J.sub.(A)=(/32)H.sub.0B.sub.0.sup.4(7)
(29) Polar moment of inertia of a projected cross section type circular plate:
J.sub.(B)=(/32)(H.sub.1B.sub.0.sup.4+H.sub.2B.sub.2.sup.4)(8)
(30) Polar moment of inertia of a recessed cross section type circular plate:
J.sub.(C)=(/32){(H.sub.1+H.sub.3)B.sub.0.sup.4H.sub.3B.sub.3.sup.4}(9)
(31) Based on the formulae (7) to (9), the magnitude relationship between the polar moment of inertia J.sub.(A) of a rectangular cross section type circular plate, the polar moment of inertia J.sub.(B) of a projected cross section type circular plate, and the polar moment of inertia J.sub.(C) of a recessed cross section type circular plate is expressed by the following formula (10).
J.sub.(B)<J.sub.(A)<J.sub.(C)(10)
(32) This formula (10) is the conclusion drawn theoretically from Strength of Materials. This conclusion can be understood from the observation in the sense of Strength of Materials that, qualitatively speaking, a cross-sectional shape such that materials are placed in greater proportion in locations farther from the torsion center provides a higher polar moment of inertia.
(33) For example, a case is considered as an illustrative example in which the dimensional parameters are set as follows so that the condition of the equal weight, i.e., the condition of the above formula (6) can be satisfied: B.sub.0=100 mm, H.sub.0=20 mm, H.sub.110 mm, H.sub.2=H.sub.3=20 mm, and B.sub.2=B.sub.3=100/2=70.71 mm.
(34) In the case of this illustrative example, the polar moment of inertia J.sub.(A) of a rectangular cross section type circular plate is determined as shown in the following formula (11) according to the above formula (7).
J.sub.(A)=1.9610.sup.8(11)
(35) The polar moment of inertia J.sub.(B) of a projected cross section type circular plate is determined as shown in the following formula (12) according to the above formula (8).
J.sub.(B)=1.4710.sup.8(12)
(36) The polar moment of inertia J.sub.(C) of a recessed cross section type circular plate is determined as shown in the following formula (13) according to the above formula (9).
J.sub.(C)=2.4510.sup.8(13)
(37) The formulae (11) to (13) numerically confirm that the relationship expressed by the above formula (10) holds.
(38) Thus, projected cross section type circular plates, rectangular cross section type circular plates, and recessed cross section type circular plates are in ascending order in magnitude of torsional rigidity against torsional loads, and therefore the shape of recessed cross section type circular plates is most preferred.
(39) 2-1-2. Shape for Increasing Flexural Rigidity
(40) Here, an exemplary shape for increasing the flexural rigidity is studied based on the theory of Strength of Materials. For the crank arm A shown in
(41)
(42) Specifically, the rectangular cross section type beam shown in
(43) The magnitude relationship between the stiffnesses of the respective beams against bending loads is investigated under the condition that they are of equal weight. In general, the relationship between the flexural rigidity of a rectangular beam and the area moment of inertia thereof is expressed by the following formulae (14) to (16) based on the theory of Strength of Materials. The relationship shown in the formulae indicates that increasing the area moment of inertia results in increasing the flexural rigidity.
Flexural Rigidity: EI(14)
Area moment of inertia: I=( 1/12)bh.sup.3(15)
Flexural displacement: u=k(M/(EI))(16)
(44) where b represents the width, h represents the thickness, E represents the Young's modulus, M represents the bending moment, and k represents the shape factor.
(45) The condition that the three types of beams shown in
B.sub.3H.sub.0=(H.sub.2B.sub.2+B.sub.1H.sub.1)=(H.sub.2B.sub.2+B.sub.1H.sub.1)(17)
(46) The area moments of inertia of the three types of beams are expressed by the following formulae (18) to (20), respectively.
(47) Area moment of inertia of a rectangular cross section type beam:
I.sub.(D)=( 1/12)B.sub.3H.sub.0.sup.3(18)
(48) Area moment of inertia of a projected cross section type beam:
I.sub.(E)=(B.sub.3E.sub.2.sup.3B.sub.1H.sub.3.sup.3+B.sub.2B.sub.1.sup.3)(19)
(49) where E.sub.2 is determined by (B.sub.2H.sub.2.sup.2+B.sub.1H.sub.1.sup.2)/{2(B.sub.2H.sub.2+B.sub.1H.sub.1)}, E.sub.1 is determined by H.sub.2E.sub.2, and H.sub.3 is determined by E.sub.2H.sub.1.
(50) Area moment of inertia of a recessed cross section type beam:
I.sub.(F)=(B.sub.3E.sub.2.sup.3B.sub.1H.sub.3.sup.3+B.sub.2E.sub.1.sup.3)(20)
(51) where E.sub.2 is determined by (B.sub.2H.sub.2.sup.2+B.sub.1H.sub.1.sup.2)/{2(B.sub.2H.sub.2+B.sub.1H.sub.1)}, E.sub.1 is determined by H.sub.2B.sub.2, H.sub.3 is determined by E.sub.2H.sub.1.
(52) The above formula (19) and the above formula (20) are in the same form. This indicates that the area moment of inertia I.sub.(E) of a projected cross section type beam equals the area moment of inertia I.sub.(F) of a recessed cross section type beam under the condition that they are of equal weight.
(53) In short, the magnitude relationship between the area moment of inertia I.sub.(D) of a rectangular cross section type beam, the area moment of inertia I.sub.(E) of a projected cross section type beam, and the area moment of inertia I.sub.(F) of a recessed cross section type beam is expressed by the following formula (21).
I.sub.(D)<I.sub.(E)=I.sub.(F)(21)
(54) This formula (21) is the conclusion drawn theoretically from Strength of Materials. This conclusion can be understood from the observation in the sense of Strength of Materials that, qualitatively speaking, a cross-sectional shape such that materials are placed in greater proportion in locations farther from the neutral plane of bending provides a higher area moment of inertia.
(55) For example, a case is considered as an illustrative example in which the dimensional parameters are set as follows so that the condition of the equal weight, i.e., the condition of the above formula (17) can be satisfied: B.sub.1=B.sub.2=50 mm, B.sub.3=100 mm, H.sub.0=20 mm, H.sub.1=10 mm, and H.sub.2=30 mm, by which E.sub.1=12.5 mm, E.sub.2=17.5 mm, and H.sub.3=7.5 mm.
(56) In the case of this illustrative example, the area moment of inertia I.sub.(D) of a rectangular cross section type beam is determined as shown in the following formula (22) according to the above formula (18).
I.sub.(D)=6.6710.sup.4(22)
(57) The area moment of inertia I.sub.(E) of a projected cross section type beam is determined as shown in the following formula (23) according to the above formula (19).
I.sub.(E)=2.0410.sup.5(23)
(58) The area moment of inertia I.sub.(F) of a recessed cross section type beam is determined as shown in the following formula (24) according to the above formula (20).
I.sub.(E)=2.0410.sup.5(24)
(59) The formulae (22) to (24) numerically confirm that the relationship expressed by the above formula (21) holds.
(60) Thus, projected cross section type beams and recessed cross section type beams have comparable flexural rigidity against bending loads, and therefore partially thickened crank arm shapes such as those of a projected cross section type beam and a recessed cross section type beam are more preferred because of the higher flexural rigidity than the shape of a rectangular cross section type beam.
(61) 2-1-3. Summarization of Shapes for Increasing Flexural Rigidity and Torsional Rigidity
(62)
(63) The results shown in
(64) 2-2. Overview of Crankshaft of Present Embodiment
(65) The results shown in
(66) In view of the above, the crankshaft according to the present embodiment is provided with the crank arms each having a recess in the journal-side surface thereof, inside the peripheral region thereof which extends along the periphery of the surface (in particular portions of the peripheral region corresponding to the two sides of the crank arm), in such a manner that the recess is disposed along the peripheral region. Thus, in the crank arms, the peripheral region outside the recess is thick, the region inward thereof is thin because of the recess, and the region further inward thereof is thick, so that weight reduction and increase of the torsional rigidity are achieved while increase of the flexural rigidity is also achieved.
(67) Furthermore, in the case of a crankshaft including a crank arm that does not have a counterweight, the crank arm that does not have a counterweight may have a recess in the crank pin-side surface thereof, inside the peripheral region thereof which extends along the periphery of the surface (in particular portions of the peripheral region corresponding to the two sides of the crank arm), in such a manner that the recess is disposed along the peripheral region. In this case, further weight reduction of the crankshaft is achieved while ensuring increased torsional rigidity and increased flexural rigidity
(68) 2-3. Specific Embodiments
First Embodiment
(69)
(70) The crank arm A of the first embodiment shown in
(71) It should be noted that the pin fillet portion, which is a joint connecting the crank pin P to the crank arm A, is prone to stress concentration. Accordingly, in many cases, quenching using high frequency induction heating is applied to the pin fillet portion in order to increase the fatigue strength. In this process, in the peripheral region 11 of the crank arm A, particularly the area (hereinafter also referred to as pin top area) corresponding to the eccentrically top portion of the crank pin P may experience quench cracking since it is contiguous with the pin fillet portion, which is subjected to quenching, unless the area has a certain degree of thickness. To guard against such a case, the peripheral region 11 of the crank arm A of the first embodiment has a sufficient thickness over its entire area including the pin top area without any interruption, and therefore has high resistance to quench cracking.
Second Embodiment
(72)
(73) The crank arm A of the second embodiment shown in
(74) This crank arm A of the second embodiment also has the configuration in which the peripheral region is thick except for part of it, the region inward thereof is thin because of the recess 10, and the central region further inward thereof is thick. Hence, the crankshaft of the second embodiment, similarly to the crankshaft of the first embodiment, has reduced weight and increased torsional rigidity in combination with increased flexural rigidity.
(75) Indeed, when the peripheral region 11 of the crank arm A is partially thinned, the partial thinning leads to a corresponding reduction in torsional rigidity. However, provided that, in the peripheral region 11, the thinned portion of the peripheral region 11 is limited to a zone corresponding to a zone in the crank pin P from the axis Pc thereof to the top portion thereof (this zone of the peripheral region 11 is hereinafter also referred to as pin top-side zone), the reduction in torsional rigidity is small and the flexural rigidity is substantially not reduced. Accordingly, when the recess 10 of the crank arm A is to be extended to the peripheral region 11, it is preferred that the extension be limited to the pin top-side zone in the peripheral region 11 and thus that the recess 10 be extended to a portion of the specific pin top-side zone.
(76) In the second embodiment, the thickness of the peripheral region 11 of the crank arm A is thin at the pin top area, and therefore, when the pin fillet portion is subjected to high frequency induction heating for quenching, quench cracking tends to occur at the pin top area of the crank arm A. Thus, the pin top area in the peripheral region 11 of the crank arm A needs to have a minimally required thickness to prevent quench cracking.
Third Embodiment
(77)
(78) The crank arm A of the third embodiment shown in
(79) This crank arm A of the third embodiment also has the configuration in which the peripheral region is thick except for part of it, the region inward thereof is thin because of the recess 10, and the central region further inward thereof is thick. Hence, the crankshaft of the third embodiment has advantages similar to those of the crankshaft of the second embodiment.
(80) In the third embodiment, the recess 10 of the crank arm A does not extend to the pin top area of the peripheral region 11. Thus, the crank arm A has a sufficient thickness at the pin top area of the peripheral region 11 and therefore has high resistance to quench cracking that may be caused by high frequency induction heating.
Fourth Embodiment
(81)
(82) The crank arm A of the fourth embodiment shown in
(83) This crank arm A of the fourth embodiment also has the configuration in which the peripheral region is thick except for part of it, the region inward thereof is thin because of the recess 10, and the central region further inward thereof is thick. Hence, the crankshaft of the fourth embodiment has advantages similar to those of the crankshaft of the second embodiment.
(84) In the fourth embodiment, similarly to the third embodiment described above, the recess 10 of the crank arm A does not extend to the pin top area of the peripheral region 11. Thus, the crank arm A has a sufficient thickness at the pin top area of the peripheral region 11 and therefore has high resistance to quench cracking that may be caused by high frequency induction heating.
(85) In any of the above second to fourth embodiments, the radius of the center of mass of the crank arm A region is smaller than in the first embodiment described above because the crank arm A is locally thinned at a portion of the peripheral region 11 (pin top-side zone), which is far from the center of rotation of the crankshaft. Accordingly, the mass moment of inertia of the crank arm A region is reduced, and therefore it is possible to reduce the mass of the counterweight W in light of the static balance and dynamic balance of the crankshaft. Hence, the second to fourth embodiments described above are useful for further weight reduction of a crankshaft as a whole.
Fifth Embodiment
(86) In the first to fourth embodiments described above, not only the crank arm A having a counterweight but also a crank arm A that does not have a counterweight has the recess 10 in the journal J-side surface. In the case of the crank arm that does not have a counterweight, such a recess may be formed in the crank pin P-side surface of the crank arm A.
(87)
(88) In the fifth embodiment, a crank arm A shown in
(89) The crank arm A in the fifth embodiment has a recess 20 in the surface adjacent to the crank pin P in addition to the recess 10 formed in the surface adjacent to the journal J. Specifically, the crank arm A has a peripheral region 21 along the periphery of the crank pin P-side surface. The recess 20 is formed inside the peripheral region 21 and along the peripheral region 21. Thus, in the crank arm A, at the side where the crank pin P is coupled, the peripheral region 11 is thick over its entire area, the region inward thereof is thin because of the recess 10, and the central region further inward thereof is thick. Furthermore, in the crank arm A, at the side where the journal J is coupled, the peripheral region 21 is thick over its entire area, the region inward thereof is thin because of the recess 20, and the central region further inward thereof is thick. As a result, farther weight reduction of the crankshaft is achieved while ensuring increased torsional rigidity and increased flexural rigidity.
(90) The recess 20 of the fifth embodiment is similar in shape to the recess 10 of the first embodiment described above. Instead, the recess 20 of the fifth embodiment may be modified to have a shape similar to that of any of the recesses 10 of the second to fourth embodiments described above.
(91) The crankshaft of the present invention is a crankshaft that can be mounted in a variety of reciprocating engines. That is, the number of engine cylinders may be any of two, three, four, six, eight and ten, or the number greater than that may be possible. The arrangement of engine cylinders may be in a variety of forms such as the straight type, V-type, and opposed type. The fuel for the engine may be of various types such as gasoline, diesel, and biofuel. Examples of the engine include a hybrid engine that includes a combination of an internal combustion engine and an electric motor.
INDUSTRIAL APPLICABILITY
(92) The present invention is capable of being effectively utilized in a crankshaft to be mounted in a variety of reciprocating engines.
REFERENCE SIGNS LIST
(93) 1: crankshaft J, J1 to J5: journal Jc: axis of journal, P, P1 to P4: crank pin Pc: axis of crank pin Fr: front part F1: flange A, A1 to A8: crank arm Ac: crank arm centerline W, W1 to W8: counterweight 2: damper pulley 3: flywheel 10: recess 11: peripheral region 20: recess 21: peripheral region