Nonlinear Precise Integration Method and Its Application to Pseudodynamic Test of Structures
Chen Bo-wang1, WANG Hai-bo2
1. College of Civil Engineering, Hunan City University, Yiyang 413000,China2. School of Civil Engineering and Architecture, Central South University, Changsha Hunan 410075,China
Abstract: Combining the precise integration method and Adams-Bashforth-Moulton’s predict-correct multi-step method, we put forward a precise integration method for nonlinear dynamic equations, which is implicit predict-correct, four order accuracy and multi-step method avoiding calculating the inversion of the state matrix. Based on the advanced multi-step method of nonlinear precise integration, a new applied numerical integration method for pseudodynamic test of structures is raised. Its accuracy is superior to center difference method by enlarging time step twice or fourfold and its stability is better. Thus, the testing work would be largely reduced. Finally, a pseudodynamic test of combined tube structure has been executed with the explicit multi-step method.