Design sensitivity analysis and optimization of nonlinear structural dynamics using DYNA3D

摘要

Continuum-based sizing and configuration design sensitivity analysis (DSA) and optimization methods using the established transient dynamic analysis code DYNA3D are developed. ^For transient dynamic analysis, the explicit central difference method is used. ^For the structural domain, the updated Lagrangian formulation is used since it is appropriate for the path-dependent problem. ^The first-order variations of the kinetic energy form, strain energy form, load form, and kinematic and structural responses with respect to the sizing and configuration design variables are derived. ^For the updated Lagrangian formulation, the design velocity field that defines the mapping between the initial and perturbed designs is updated at each updated configuration. ^The direct differentiation method is used in this paper for DSA. ^Numerical implementation of sizing DSA, configuration DSA, and optimization of a vehicle frame and A-pillar models were carried out using the nonlinear finite element analysis code DYNA3D. ^(Author)