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力偶作用下形状记忆合金梁的非线性弯曲理论分析 被引量:1

Nonlinear Bending Theory Analysis of Shape Memory Alloy Beam under the Influence of Force Couple
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摘要 基于梁的大变形理论,结合已有实验测得的形状记忆合金材料的应力-应变关系,研究了形状记忆合金梁的拉压不对称性对其弯曲变形的影响,建立了梁的横截面应力分布、马氏体体积分数表达式,推导得出了梁在纯弯曲条件下的非线性控制方程并进行求解。结果表明:中性层先移向受压侧,后移向受拉侧;随拉压不对称系数的增大,受压侧马氏体体积分数减小,材料越不易发生相变。 Based on the large deformation theory of beam,the author will combine with the stress-strain relationship of shape memory alloy materials measured from the existing experiment to study on the influence on bending deflection caused by shape memory alloy grider′s tension-compression asymmetry,then,build the cross section stress distribution of grider and martensite volume fraction expression to derivate and solve the nonlinear control equation under the pure bending conditions of grider.The results show that:The neutrosphere will move towards the compression side,followed by the tension side;With the growth of tension and compression asymmetry coefficient and the reduction of martensite volume fraction in the compression side,the materials will not be easy to suffer the phase transition.
作者 王吉昌 沈永春 杨静宁 Wang Jichang;Shen Yongchun;Yang Jingning(School of Science,Lanzhou University of Technology,Lanzhou 730050,China;China Ship Scientific Research Center,Wuxi 214082,China)
出处 《甘肃科学学报》 2018年第2期20-24,共5页 Journal of Gansu Sciences
基金 国家自然科学基金项目(05-020317)
关键词 纯弯曲 形状记忆合金 非线性 拉压不对称 Pure bending Shape memory alloy Nonlinear Tension and compression asymmetry
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