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| Study on the application scope of the precise time-integration with dimension expanding method |
| Received:July 09, 2018 Revised:November 23, 2018 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20180709003 |
| KeyWord:the precise time-integration with dimension expanding method Fourier series superposition principle linearized hypothesis recursive algorithm |
| Author | Institution |
| 王海波 |
中南大学 土木工程学院, 长沙 |
| 何崇检 |
中南大学 土木工程学院, 长沙 |
| 贾耀威 |
中南大学 土木工程学院, 长沙 |
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| Abstract: |
| The precise time-integration with dimension expanding method can transform the non-homogeneous dynamic equation into a homogeneous dynamic equation.Therefore the state matrix inversion is avoided and the dynamic response of structure can be solved easily.On the basis of careful analysis of the properties of the precise time-integration with dimension expanding method,the application conditions are proposed and its application scope is further expanded.And the expression of the corresponding precise time-integration with dimension expanding method is given when the load term is expanded into a Fourier series.At the same time,in a time step,by making the linear assumption of inhomogeneous terms,this paper successfully applies the precise time-integration with dimension expanding method to nonlinear dynamic analysis.This method has unified mathematical format,convenience in computer programming and high computational efficiency.Numerical examples demonstrate the effectiveness of this method. |