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| A convolution type GD semi-analytic approach for the transient response analysis of rectangular plates |
| Received:February 02, 2010 Revised:September 19, 2010 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201104008 |
| KeyWord:convolution transient response general differential method semi-analytic method |
| Author | Institution |
| 彭建设 |
成都大学 工业制造学院,成都 |
| 罗光兵 |
西南交通大学 牵引动力国家重点实验室,成都 |
| 杨杰 |
皇家墨尔本理工大学 航空机械制造工程学院,澳大利亚墨尔本 |
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| Abstract: |
| The Gurtin variation principles of convolution type is the only variation principles which can makes the initial values of dynamics equivalent completely in math, it contains all the characters of initial values. The GDM (General Differential Method) is a numerical method solving partial differential equations based on Taylor series. The principle and coefficients are reduced in this paper. The equations of motion of thin rectangular plates are blended with initial conditions by the method of convolution calculation and form new equations, whose solutions are then sought through the use of GDM approximation in space domain and an analytical series expansion in time domain. This approach obtains the same effects with Gurtin variation principles, at the same time, it avoids the complexity of Gurtin functional. The results of the examples show that the method has excellent accuracy and efficiency for the resolution of dynamic response analysis. |