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。Sensitivities of the FE response with respect to both model( material or geometry) and loading parameters represent an essential ingredient in studying the structures.This paper presents recent developments in FE response sensitivity analysis based on the Direct Differentiation Method( DDM) for displacement-based,force-based,and three-field mixed finite elements,with a focus on the extensions of the DDM to nonlinear material constitutive models of structural or geotechnical systems.DDM based response sensitivity analysis methods are used to analyze a real three dimensional nonlinear soil-structure interaction system under bi-directional seismic load to verify its accuracy,efficiency and applicability to engineering problems.The DDM has semi-analytieal solution and is accurate,effective and not disturbed by numerical noise,it has latent engineering value.国家自然科学基金(51261120376;51281220267); 冻土工程国家重点实验室资助(SKLFSE201405
