An Improved Precise Runge-Kutta Method for Structural Dynamic Equations

ZHANG Ji-feng; DENG Zi-chen; ZHANG Kai

doi:10.3879/j.issn.1000-0887.2015.04.005

Volume 36 Issue 4

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ZHANG Ji-feng, DENG Zi-chen, ZHANG Kai. An Improved Precise Runge-Kutta Method for Structural Dynamic Equations[J]. Applied Mathematics and Mechanics, 2015, 36(4): 378-385. doi: 10.3879/j.issn.1000-0887.2015.04.005

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An Improved Precise Runge-Kutta Method for Structural Dynamic Equations

doi: 10.3879/j.issn.1000-0887.2015.04.005

School of Mechanics and Civil Engineering & Architecture, Northwestern Polytechnical University, Xi’an 710072, P.R.China

Funds: The National Natural Science Foundation of China（Key Program)（11432010);The National Basic Research Program of China (973 Program)（2011CB610300）

Received Date: 2014-12-30
Publish Date: 2015-04-15

Abstract

Abstract

Based on the precise Runge-Kutta method, in view of the characteristics of the non-homogeneous terms of the state space equations and the particular distribution of the loads, a new improved precise Runge-Kutta method was presented for solving the structural dynamic equations. Through partitioning of the related state space matrices, the improved method not only inherited the advantage of high precision of the precise Runge-Kutta method, but also greatly promoted the computational efficiency, making it suitable for solving large-scale structural dynamic problems and conducting long-time simulations. The results of numerical examples show the correctness and validity of the proposed simplified method.
- structural dynamic equation,
- precise integration,
- simplified calculation,
- Runge-Kutta method

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References(9)

References

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