Design and Modeling on Stranded Wires Helical Springs

作     者：ZHOU Jie WANG Shilong KANG Ling CHEN Tianyi 

作者机构：State Key Laboratory of Mechanical Transmissions Chongqing University Chongqing 400044 China China Aerodynamics Research ＆ Development Center Mianyang 621000 China 

出 版 物：《Chinese Journal of Mechanical Engineering》 (中国机械工程学报（英文版）)

年 卷 期：2011年第24卷第4期

页      面：626-637页

核心收录：

学科分类：080901[工学-物理电子学] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 080203[工学-机械设计及理论] 0802[工学-机械工程] 080201[工学-机械制造及其自动化] 

基　　金：supported by National Natural Science Foundation for Distinguished Young Scholar of China (Grant No. 50925518) National Natural Science Foundation of China (Grant No. 50775226) Key Project of Ministry of Education of China(Grant No. 109129) Chongqing Municipal Key Scientific and Technological Project of China (Grant No. CSTC2009AC3049) 

主　　题：stranded wires helical spring mathematical model finite element analysis closing ends 

摘      要：A stranded wires helical spring is formed of a multilayer and coaxial strand of several wires twisted together with the same direction of spiral. Compared with the conventional single wire spring, the stranded wires helical spring has the notable predominance in strength, damping and vibration reduction, which is usually used in aircraft engines, automatic weapons, etc. However, due to its complicated structure, the precise computation of its strength and rigidity need be a correct mathematical model, which then will be imported to finite element analysis software for solutions. Equations on solving geometric parameters, such as external diameters of strands and screw pitches of wires, are put forward in the paper. It also proposes a novel methodology on solving geometric parameters and establishing entity models of the stranded wires helical spring, which provides foundation of computing mechanical parameters by FEA. Then mathematical models on the centre line of the strand and the surface curve of each wire, after closing two ends in a spring, are proposed. Finally, geometric parameters are solved in a case study, and a 3D entity model of a spring with 3 layers and 16 wires is established, which has validated the accuracy of the proposed methodology and the 3D entity mathematical model. The method provides a new way to design stranded wire helical spring.