Direct Integration Methods with Integral Model for Dynamic Systems
Copyright policy )Direct Integration Methods with Integral Model for Dynamic Systems
A new approach which is a direct integration method with integral model (DIM-IM) to solve dynamic governing equations is presented. The governing equations are integrated into the integral equations. An algorithm with explicit and predict-correct and self-starting and fourth-order accuracy to integrate the integral equations is given. Theoretical analysis and numerical examples show that DIM-IM discribed in this paper suitable for strong nonlinear and non-conservative system have higher accuracy than central difference, Houbolt, Newmark and Wilson-Theta methods.
- Dalian Polytechnic University China (People's Republic of)
integral equation, Numerical approximation of solutions of dynamical problems in solid mechanics, numerical integration, nonlinear, Computational methods for problems pertaining to mechanics of particles and systems, step-by-step integration, Numerical methods for initial value problems involving ordinary differential equations
integral equation, Numerical approximation of solutions of dynamical problems in solid mechanics, numerical integration, nonlinear, Computational methods for problems pertaining to mechanics of particles and systems, step-by-step integration, Numerical methods for initial value problems involving ordinary differential equations
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