VIRTUAL-PULSE TIME INTEGRAL METHODOLOGY - A NEW APPROACH FOR COMPUTATIONAL DYNAMICS .2. THEORY FOR NONLINEAR STRUCTURAL DYNAMICS

The present paper describes the theoretical basis of a new explicit vi rtual-pulse time integral methodology for nonlinear dynamics problems. Different from the existing numerical methods such as direct time int egration or mode superposition techniques, the proposed methodology of fers new perspectives and methodology of development, and possesses se veral unique and attractive computational characteristics. The methodo logy is tested and compared with the implicit Newmark method (trapezoi dal rule) through nonlinear softening and hardening spring dynamic mod els. The numerical results indicate that the proposed virtual-pulse ti me integral methodology has improved accuracy and stability characteri stics, and is thus an excellent alternative for solving general nonlin ear dynamic problems.