A fully explicit dynamic time-history analysis method for large-scale building structures

Abstract

The invention relates to a numerical simulation method for dynamic analysis of a large-scale building structure, in particular to a fully explicit method without diagonalization of a damping matrix, with a certain method damping, with a large stable step size, with a third-order accuracy and self-starting. The steps are as follows: Firstly, the large-scale building structure is discretized by spatial finite element method, and the equations of motion of the discrete system are derived; 2, selecte an analysis step length according to that short period of the system; 3, calculate that displacement ui and the velocity vi at the time ti on the i-th time step step by step; Fourth, calculate the displacement with high order accuracy shown in the description, Speed shown in the descriptio, and calculate acceleration shown in the descriptio; Compared with the common explicit dynamic analysis methods such as the central difference method, It is suitable for off-diagonal damping matrix and non-linear damping system, can restrain false high frequency mode, has long stability interval, high precision and fast convergence, self-starting and other characteristics, and the operation steps are simple, easy to implement, and has strong engineering application value.

Description

technical field [0001] The invention relates to a numerical simulation method for dynamic analysis of a large-scale building structure, in particular to a large-scale building structure that does not require diagonalization of a damping matrix, has a certain method of damping, has a large stable step size, has 3-order accuracy, and is self-starting A fully explicit dynamical time-history analysis method. Background technique [0002] In recent years, domestic large-scale building structures are increasing day by day. Although large-scale building structures meet the needs of urbanization, there are earthquake risks. In order to avoid the earthquake risk of large-scale building structures, dynamic analysis numerical simulation methods are often used in the design stage to conduct a large number of dynamic time-history analyzes on large-scale building structures to ensure the safety of large-scale building structures under sudden strong earthquakes. . For the convenience of ...

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Problems solved by technology

[0005] Aiming at the defects of the central difference method in the nonlinear dynamic time-history analysis of large-scale complex building structures, the purpose of the present invention is to provide a large-scale building structure without damping A fully explicit dynamical time-history analysis method with matrix diagonalization, certain method damping, large stable step size, third-order accuracy, and self-starting

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