结构瞬态动力响应及其灵敏度分析的精细积分法

【作者】 姜成；

【导师】 顾元宪；

【作者基本信息】 大连理工大学 ， 计算力学， 2000， 硕士

【摘要】 本文研究了基于精细积分法的结构时域瞬态动力响应及 其灵敏度分析的方法并程序实现。 在结构动力响应部分中，本文首先综述了求解结构动力 响应的普遍方法，然后介绍了精细积分法，并在有限元分析 与优化设计软件系统JIFEX中实现了完整的精细积分法。在 程序实现过程中，为了克服转角位移在对角质量阵中对应的 对角元素为零而无法求逆的困难，本文采取了线位移与转角 位移分离处理的方法。通过算例与Newmark法的比较表明， 当采用精细积分法进行计算，其步长比用Newmark法时的步 长高一个量级时，仍然能够得到高度精确的结果，这充分体 现了精细积分法的计算结果高度精确及效率较高的优点。 在结构瞬态动力响应的灵敏度分析中，本文进行了基于 精细积分法的灵敏度分析方法的研究，并在JIFEX程序系统 中实现了这种方法。采用这种方法，结构瞬态动力响应的灵 敏度的求解与结构瞬态动力响应的求解同时进行。通过算例 表明，采用这种方法可以得到精度令人满意的灵敏度结果。 最后本文介绍了在做论文期间完成的考虑动力特性的卫 星空间承力筒复合材料结构优化设计工作。其中针对离散的 蜂窝夹芯材料的优化设计，本文提出了一种连续化处理方 法，得到了满意的效果。更多还原

【Abstract】 This thesis studies the numerical methods of the analysis for structural transient dynamic responses and their sensitivities.In the first part of the thesis,the time integration methods to calculate structural transient dynamic responses are summarized,and then it emphatically introduces the precise integration method,which concretely realized in the finite element analysis and structural optimization design software system JIFEX. During this process,it is impossible to get the inverse matrix if the diagonal elements in the diagonal mass matrix corresponding to the corner displacements are zeros. In order to get rid of this trouble,the author adopts a method to handle the linear displacements and the corner displacements separately. Compared with the Newmark method,when calculating the examples with the precise integration method,and with the step time an order higher than that in Newmark method,highly accurate results can still be gotten,which completely present us the advantages of high accuracy of calculating results and high efficiency in using precise integration method.In the part of the sensitivity analysis,the focus is put on the sensitivity analysis method based on the precise integration method. At last the author realized it in the JIFEX program system. With this method,the solutions of transient dynamic responses and their sensitivities proceed simultaneously. The calculating examples show that we can get the sensitivities with pleasing precision of transient dynamic responses.With the dynamical characteristics are considered theoptimization design of the composite material structure of a satellite is presented. During this process,a successional disposal method is advanced for the optimization design of discrete core material variables,and the satisfying results are gotten.更多还原