变截面多稳态梁结构减振吸能分析与优化设计

基于多稳态梁结构具有吸能且可重复使用的特点，本文研究包含变截面多稳态梁的单胞结构及其周期性排布的减振吸能效应及其优化设计方法。对多稳态结构进行考虑几何非线性的位移加载/卸载有限元仿真，根据其载荷-位移曲线分析多稳态结构的减振吸能原理，并研究串联与并联周期性排布形式对结构整体吸能特性的影响规律。研究基于多参数调控的变截面梁结构形状表征方法，根据多稳态结构储能特点建立变截面多稳态单胞结构的结构优化模型，通过求解优化问题获得总质量不变条件下最优变截面梁结构形状。进一步地通过对优化结果的有限元分析验证优化的有效性，并对结构进行瞬态冲击荷载下动响应分析，证明多稳态结构的冲击保护作用。

Impact energy absorption analysis and design optimization of variable cross-section beam multi-stable structures

This paper studies the impact absorption effects and design optimization of variable cross-section multi-stable beam-based structures.The loading/unloading simulation of the large deformed multi-stable structure is performed with the finite element analysis to analyze the principle of vibration reduction and energy absorption of multi-stable structures.The influences of the periodic arrangement in series and parallel on the overall energy absorption characteristics of the structure are also studied.The multi-parameters-based shape characterization method of the beams with variable cross-sections is proposed.According to the characteristics of the energy storage of the multi-stable structure,the optimization model for the variable cross-section multi-stable beam structure is established.The optimal variable cross-section beam shape with the total mass constant is obtained by solving the optimization problem.Furthermore,the effectiveness of the optimization is verified by the finite element analysis of the optimization results,and the dynamic response analysis of the structure under the transient impact load proves the impact protection effect of the multi-stable structure.