论文部分内容阅读
本文概述了基于直接微分法的非线性有限元动力响应对于模型材料参数、几何参数和地震不确定性参数的敏感性分析方法,介绍了基于力法、位移法和三场混合法等方法的有限单元直接微分法敏感性分析最新进展,并着重讲述了将直接微分法拓展到非线性结构和岩土等材料模型中,用于分析土-结相互作用体系的敏感性分析方法。本文将此敏感性方法应用到一个有实际工程背景的受双向地震荷载作用下的三维土-结相互作用体系中,通过有限差分法证明敏感性分析计算结果的高效性和正确性,验证了此方法应用到实际工程中的有效性和实用性。直接微分法由于计算得到的是半解析解,具有精确、高效、不受数值噪音干扰等优点,具有潜在重要的工程价值。
In this paper, the sensitivity analysis method of nonlinear finite element dynamic response based on the direct differential method for the material parameters, geometrical parameters and seismic uncertainty parameters of the model is introduced. The methods of finite element method such as force method, displacement method and three-field hybrid method are introduced The latest development of the sensitivity analysis of elemental differential method is given, and the sensitivity analysis method for analyzing the soil-node interaction system is also emphatically described by extending the method of direct differential to nonlinear structures and geotechnical materials models. In this paper, this sensitivity method is applied to a three-dimensional soil-node interaction system under the bi-directional earthquake load with a practical engineering background. The validity and accuracy of the sensitivity analysis results are verified by the finite difference method. The effectiveness and practicability of the method applied to practical engineering. The direct differential method has the potential to be of great engineering value due to the advantages of being semi-analytic solution, accurate and efficient, free from numerical noise interference and so on.