热弹耦合梁结构动力响应的区间数值分析

发布时间：2018-07-14 18:00

【摘要】：研究了含有区间参数梁结构在温度载荷和力载荷共同作用下的动力响应问题,考虑材料变形与传热的相互影响,建立了梁在热弹耦合下的动力学有限元模型,并给出对结构瞬态热传导方程与动力学方程进行相互交替迭代求解的计算方法。针对结构响应不确定性问题,以不确定参数作为约束变量,通过寻求结构响应函数的区间范围,将区间问题转化为优化问题,并利用遗传算法给出了结构响应函数的区间界限。通过算例结果与概率有限元方法的计算结果比较,表明文中所提出方法的可行性和有效性,并获得在热弹耦合作用下梁结构的固有振动频率有所增加,而振动响应振幅则逐渐减弱的结论。该方法只需已知不确定参数所在范围的界限,而无需其他统计信息,为解决区间参数热弹耦合梁问题提供了一种途径。
[Abstract]:The dynamic response of beam structure with interval parameters under both temperature and force loads is studied. Considering the interaction between material deformation and heat transfer, the dynamic finite element model of beam under thermoelastic coupling is established. An iterative method for solving the transient heat conduction equation and dynamic equation is presented. In view of the uncertainty of structural response, the interval problem is transformed into an optimization problem by seeking the interval range of the structural response function, and the interval bound of the structural response function is given by using genetic algorithm. By comparing the numerical results with the results of the probabilistic finite element method, it is shown that the proposed method is feasible and effective, and the natural vibration frequency of the beam structure under thermoelastic coupling is increased. But the vibration response amplitude decreases gradually. This method only needs to know the bounds of the range of uncertain parameters without other statistical information, which provides a way to solve the problem of thermoelastic coupling beam with interval parameters.
【作者单位】：西安电子科技大学电子装备结构设计教育部重点实验室;
【基金】：国家自然科学基金项目(51175398)资助
【分类号】：O328

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