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| An efficient algorithm for the dynamic responses of one-dimensional periodic structures with defects |
| Received:November 16, 2017 Revised:June 04, 2018 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20171116001 |
| KeyWord:periodic structures with defects group theory Newmark method dynamic responses |
| Author | Institution |
| 梁希强 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
| 高强 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
| 姚伟岸 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
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| Abstract: |
| Based on the dynamic properties in periodic structure and group theory,an efficient numerical method for computing the dynamic responses of the one-dimensional periodic structures with defects is proposed.Efficiently solving the linear algebraic equations corresponding to the structure is a key issue for computing the dynamic responses.By using a condensation technique,the scale of the linear algebraic equations corresponding to the structure is reduced.By using the properties of the linear algebraic equations of the periodic systems,the solution of the dynamic response of a one-dimensional periodic structure with defects can be converted into that of the response analysis of a small-scale structure with defects and that of a one-dimensional periodic structure.Subsequently,the solution of the one-dimensional periodic structure can be converted into solutions of a series of small-scale structures.Then,the linear algebraic equations corresponding to the small-scale structures can be efficiently solved by group theory.Numerical examples are presented to demonstrate the efficiency of the proposed method. |