Efficient Nonlinear Transient Dynamic Analysis for Structural Optimization Using an Exact Integral Equation Formulation

9713481 Gordis本提案的目的是双重的。 (1)本文的主要工作是：（1）建立一个高效、通用和精确的积分方程，用于具有局部非线性的大型结构有限元模型的瞬态结构综合;（2）在大型结构系统的非线性瞬态响应优化中的应用。 这项研究将涉及非线性瞬态综合公式的理论和数值发展。 （PI）已经开发了线性制剂，目前正在进行非线性制剂的初步开发。 将进行非线性积分方程制定的全面理论发展，包括正式证明的解决方案的存在性和唯一性的情况下，本地化的非线性结构修改，子结构耦合与非线性互连，通过非线性元件的基础激励，和半主动控制。 随后的综合公式将进一步具体开发为涉及非线性瞬态响应约束（或目标函数）的结构优化中的再分析方法。 优化开发将集中在被动和半主动隔震的地震结构响应和机械冲击的应用问题。 设计问题也将得到解决。 ***

9713481 Gordis The objective of this proposal is two-fold. (1) The theoretical and numerical-solution development of a high efficient, general and exact integral equation formulation for transient structural synthesis for large structural FE models with localized nonlinearities and (2), its implementation in the optimization of nonlinear transient response of large structural systems. This research will involve the theoretical and numerical development of the nonlinear transient synthesis formulation. The linear formulation has been developed (by the PI) and initial development of the nonlinear formulation is currently under way. A full theoretical development of the nonlinear integral equation formulation will be carried out to include formal proofs of solution existence and uniqueness for the cases of localized nonlinear structural modifications, substructure coupling with nonlinear interconnections, base excitation through nonlinear elements, and semi-active control. Subsequently a synthesis formulation will be further specifically developed as a re-analysis methodology in structural optimization involving nonlinear transient response constraints (or objective function). The optimization development will focus on the application problems of passive and semi-active isolation for seismic structural response and mechanical shock. Design issues will also be addressed. ***