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| Accuracy and physical interpretation of multiscale asymptotic expansion method |
| Received:May 12, 2016 Revised:June 12, 2016 |
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| DOI：10.7511/jslx201604013 |
| KeyWord:multiscale asymptotic expansion method physical interpretation accuracy |
| Author | Institution |
| 邢誉峰 |
北京航空航天大学 固体力学研究所, 北京 |
| 高亚贺 |
北京航空航天大学 固体力学研究所, 北京 |
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| Abstract: |
| The multiscale asymptotic expansion method (MsAEM) can be implemented by using weighted residual method etc.The authors have studied the accuracy and physical interpretation of MsAEM for years.This paper reviewed the authors' previous works,further demonstrated the relationships of element order and perturbation order with exact solution for one-dimensional periodical structures;revealed the physical interpretations of different orders of influence functions and self-balanced quasi loads;and emphasized that the second order of expansion is essential for the accuracy of MsAEM from the physical perspective.It also presented an outlook of future work. |