Analysis of Elastic-plastic Transient Response Based on Reduced Model

Abstract

Abstract： A numerical method is presented to incorporate plastic mechanics theory with component mode synthesis technique for the analysis of elastic-plastic dynamic responses of flexible structure subjected impulsive load. To do this, the nonlinearity induced by plastic deformation is treated and approximated as an internal excited load, which is placed on the right-hand side of the incremental governing equations. This technique is so-called pseudo-force method. And then, the governing equations of plastic dynamic problems in modal coordinate are derived from fixed-interface component mode synthesis technique, the solving method of these equations is also introduced. By using the proposed method, the modal transformation matrix of system is calculated only once, and is used throughout the entire analysis. This will be an improvement of computational efficiency. A simply supported beam suffered harmonic load and impact event are studied, respectively. The simulation results show that the proposed method has a higher computational efficiency and accuracy by comparing with the full model finite element method.Key words：elastic-plastic；transient response；component mode synthesis；reduction technique；numerical method 0 前言 1

Dynamic design of multistage substructure for structures with repetitive characteristics

“…Wang, Q. et al [7] studied the nonlinear dynamic characteristics using the modal synthesis substructure reduced order model of the folded rudder surface. Qian, P. et al [8] proposed a fast impact elastoplastic calculation method for flexible structures based on the modal synthesis substructure reduction model. Zhang, M et al [9] used the modal synthesis substructure method to carry out a two-step model reduction study of the bundled rocket, which is first local and then global.…”