Magnified dimension precise integration method for the dynamic equations of complex damped structures
WU Zeyu1,WANG Dongwei2,LI Yuhe1
1. School of Civil Engineering and Communication,North China University of Water Resources and Electric Power,Zhengzhou 450045,China;
2. Civil Engineering Department,Zhengzhou University,Zhengzhou 450000,China
Abstract：In order to avoid the integral operation of the forced excitation dynamics equation of complex damped structures,a magnified precise integration method was introduced. According to the dual principle of complex damping system,the dual dynamic equations and the dual excitation waves were divided into real and imaginary parts,and the solving process by using the precise integration of the augmented matrix was derived. The results show that because the inverse matrix of the iteration matrix H doesn’t need to be solved,the instability of the computational solution caused by the singularity of matrix is avoided. In the calculation of the matrix,only a one-dimensional integral calculation is increased and the integral operation is transformed into algebraic operations,so,the scope of application of the precise integration method can be expanded. The comparison between the results calculated by using the augmented precise integration method and the frequency domain method shows they are in good consistency.
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