Study on the static properties of spiral springs under static loading

doi:10.1007/s10483-021-2782-8

Applied Mathematics and Mechanics (English Edition) ›› 2021, Vol. 42 ›› Issue (11): 1571-1580.doi: https://doi.org/10.1007/s10483-021-2782-8

Study on the static properties of spiral springs under static loading

Zhixiang LI¹, Zhen ZHAO¹, Caishan LIU², Qingyun WANG¹

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

收稿日期:2021-07-14 修回日期:2021-08-28 发布日期:2021-10-23
通讯作者: Zhen ZHAO, E-mail:bhzhaozhen@buaa.edu.cn
基金资助:
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)

Study on the static properties of spiral springs under static loading

Zhixiang LI¹, Zhen ZHAO¹, Caishan LIU², Qingyun WANG¹

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:2021-07-14 Revised:2021-08-28 Published:2021-10-23
Contact: Zhen ZHAO, E-mail:bhzhaozhen@buaa.edu.cn
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)

摘要/Abstract

摘要： 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.

关键词: spiral spring, simplified static model, recursive method, piecewise smooth feature

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.

Key words: spiral spring, simplified static model, recursive method, piecewise smooth feature

中图分类号:

70C20

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

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Study on the static properties of spiral springs under static loading

Study on the static properties of spiral springs under static loading

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