Articles

Study on the static properties of spiral springs under static loading

Expand
  • 1. School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, China;
    2. State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 100871, China

Received date: 2021-07-14

  Revised date: 2021-08-28

  Online published: 2021-10-23

Supported by

the National Natural Science Foundation of China (No. 11972055), the National Defense Science and Technology Fund in the Technical Field of the Foundation Strengthening Plan (No. 2020-JCJQ-JJ-009), and the Civil Aerospace Pre-research Project (No. D020206)

Abstract

Spiral springs have a wide range of applications in various fields. As a result of the complexity of friction, few theoretical analyses of spring belts under static loading have been carried out. Considering the piecewise smooth property of the whole contact area, a simplified static model of spiral springs under loading is established in this paper. Besides, three main stress and friction distribution areas of the spring belt are proposed, namely, internal, transitional, and external regions. Since the outermost side of the spring is not subject to any pressure, a recursive method is adopted from the outside to the inside. The model provides the parameter conditions, i.e., the internal and external forces are independent or dependent. Therefore, the case that the whole contact region of the spring belt has one subregion, two subregions, and three subregions is obtained. The model gives a theoretical basis for the parameter optimization of spiral springs.

Cite this article

Zhixiang LI, Zhen ZHAO, Caishan LIU, Qingyun WANG . Study on the static properties of spiral springs under static loading[J]. Applied Mathematics and Mechanics, 2021 , 42(11) : 1571 -1580 . DOI: 10.1007/s10483-021-2782-8

References

[1] KIM, Y., LEE, J., and PARK, J. Development of actuation system for wearable robots using spiral spring. International Conference on Control, IEEE Press, Piscataway (2012)
[2] KIM, Y., LEE, J., and PARK, J. Compliant joint actuator with dual spiral springs. IEEE/ASME Transactions on Mechatronics, 18(6), 1839-1844(2013)
[3] SHAN, W. Z., PAN, X. B., CHEN, Y. T., and YI, S. G. The development of equipment for braking energy recovery with spiral spring (in Chinese). Machine Design and Manufacturing Engineering, 44(10), 73-77(2015)
[4] ZHONG, Z. Y., ZHANG, H. L., ZHOU, J. P., and HUANG, Y. Y. Review of non-pyrotechnic connection and separation technology of spacecraft (in Chinese). Manned Spaceflight, 25(1), 128-142(2019)
[5] YANG, B. J., WANG, Z. W., and GAI, Y. X. Research progress of non-pyrotechnic releasing devices on the spacecraft (in Chinese). Machinery Design and Manufacture, 325(3), 267-269(2018)
[6] PEFFER, A., DENOYER, K., FOSNESS, E., and SCIULLI, D. Development and transition of low-shock spacecraft release devices. Aerospace Conference Proceedings, IEEE Press, Piscataway, 277-284(2000)
[7] DUFORET, O., BONDUELLE, B., VALEMBOIS, G., DILHAN, D., and SICRE, J. New concept of a resettable ultra low shock actuator (RULSA). 14th European Space Mechanisms and Tribology Symposium, European Space Agency, Constance, Germany (2011)
[8] BONDUELLE, B., DUFORET, O., and VALEMBOIS, G. Resettable ultra low shock actuators:development of 2 BBMS representative of large scale applications. 15th European Space Mechanisms and Tribology Symposium, European Space Agency, the Netherlands, 137-144(2013)
[9] XU, Z. L. Elasticity, 5th ed., Vol. I, Higher Education Press, Beijing, 73-80(2016)
[10] LAI, X. L., WANG, Q., CAI, D. M., and WANG, P. Approach to determine winding layers of prestressed strip-wound dies (in Chinese). Journal of Plasticity Engineering, 15(3), 152-156(2008)
[11] CHEN, K. J. Fatigue Design Method and Numerical Simulation of Strip Wound Prestressed Die (in Chinese), M. Sc. dissertation, University of Jinan, Jinan, 9-21(2013)
[12] HE, Z. L., YU, B., SONG, B. Y., and WANG, J. Design and analysis of a separation nut based on vortex coil spring (in Chinese). Astronautical Systems Engineering Technology, 4(5), 69-74(2020)
[13] POOK, L. P. An introduction to coiled springs (mainsprings) as a power source. International Journal of Fatigue, 33(8), 1017-1024(2011)
[14] LIU, Z. J., ZHAO, X. Q., ZHANG, J. Y., and LIN, C. X. Spiral torsion spring optimization design for separation devices. Journal of Donghua University (English Edition), 33(2), 332-335(2016)
[15] MUNOZ-GUIJOSA, J. M., CABALLERO, D. F., CRUZ, V., SANZ, J., and ECHAVARRI, J. Generalized spiral torsion spring model. Mechanism and Machine Theory, 51, 110-130(2012)
[16] MUNOZ-GUIJOSA, J. M., CABALLERO, D. F., CRUZ, V., LANTADA, A., MUNOZ, J., and ECHAVARRI, J. On the use of variable bending stiffness clothoidal strips for the analysis and synthesis of low variability torque-angle turned curves in spiral torsion springs. Mechanism and Machine Theory, 67, 32-46(2013)
[17] IMADO, K. and OTSU, T. Study of Euler's belt formula. Tribology Online, 12(4), 187-192(2017)
[18] IMADO, K. Study of belt friction in over-wrapped condition. Tribology Online, 3(2), 76-79(2008)
[19] IMADO, K., TOMINAGA, H., MIURA, A., YAMAGUCHI, Y., and KAWAGOE, T. Development of novel clutch utilizing self-locking mechanisms of belt. Tribology International, 43(5), 1127-1131(2010)
[20] IMADO, K. Study of self-locking mechanism of belt friction. Proceedings of ASME/STLE International Joint Tribology Conference, ASME Press, San Diego, 435-437(2007)
[21] LUBARDA, V. A. The mechanics of belt friction revisited. International Journal of Mechanical Engineering Education, 42(2), 97-112(2014)
[22] REN, J. L. The Design of Fiber Algorithms Based on Euler Equations (in Chinese), M. Sc. dissertation, Xi'an Technological University, Xi'an, 11-13(2015)
[23] WANG, H. N., LIU, Y., and YAN, X. D. Analysis of mechanical property of steel belt transmission and its application (in Chinese). Equipment for Electronic Products Manufacturing, 47(5), 59-63(2018)
[24] LI, H. J. The analysis of the belt driven roller wrapping angle (in Chinese). Engineering Equipment and Materials, 2017(3), 89-113(2017)
Outlines

/

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals