Energy-based method for nonlinear characteristics analysis of Belleville springs
Energy-based method for nonlinear characteristics analysis of Belleville springs
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DOI：
10.1016/j.tws.2014.01.025
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发表时间：
2014-06
影响因子：
6.4
通讯作者：
Enlai Zheng;F. Jia;Xinlong Zhou
中科院分区：
文献类型：
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作者：
Enlai Zheng;F. Jia;Xinlong Zhou
本文基于大挠度下具有初始弯曲曲率的圆板的解析模型，采用能量法，得到了贝尔维尔弹簧载荷变形特性的解析解。通过与实验结果的对比，分析结果比传统的A-L算法和有限元方法具有更高的精度，验证了能量法的有效性。在此基础上，研究了由单根贝尔维尔弹簧和质量组成的单自由度保守系统的变形能，并将其解析解应用于该系统。分析了保守系统自由振动时的固有频率，讨论了自由高宽比和支承面宽度两个因素对贝尔维尔弹簧载荷变形特性的影响。
In this study, based on the analytical model of circular plane plate with initial bending curvature under large deflection and conical shells theory, the energy method is proposed and a new analytical solution of the load deformation characteristic of the Belleville springs was obtained. Compared with experimental results, the analytical solution has higher precision than the traditional A-L algorithm solution and the FEA method, and the validity of energy method is verified. On this basis, the deformation energy is studied and the analytical solution is applied to the mono-freedom conservative system consisting of a single Belleville spring and mass. The natural frequency of the conservative system under free vibration is analyzed, followed by the discussion on two factors, the ratio of free height and width, the width of supporting surface, which affect load deformation characteristic of Belleville springs.