基于减基法的层合板瞬态响应快速分析方法

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Efficient method for transient analysis in laminated plates based on reduced-basis method

State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Automotive Engineering, Hunan University, Changsha 410082, ChinaState Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Automotive Engineering, Hunan University, Changsha 410082, ChinaCollege of Information System and Management, National University of Defence Technology, Changsha 410073, China

摘要: 用混合数值法分析复合材料层合板结构的瞬态响应时，在波数域中引入减基法、构造减基空间，把原大型特征值问题映射到减基空间进行降阶，在保证精度的前提下快速近似求解原大型特征值问题，从而快速得到结构的时域响应. 算例表明，引入减基法后的混合数值法能更有效地解决结构瞬态响应问题. 该方法可以推广用于快速解决大型结构动力优化设计和结构动力反问题等结构动力分析问题.
- 减基法 /
- 复合材料层合板 /
- 瞬态响应 /
- 混合数值法
Abstract: n this paper, the combination of hybrid numerical method(HNM) and reduced-basis method (RBM) is suggested to more effectivelyanalyze the transient displacement response in composite laminated plates.The large eigenvalue problem in wavenumber domain is projected onto areduced basis space constructed by the truncated eigenvectors from thesample set. The numerical examples demonstrate the efficiency and accuracyof the presented method, which also can be extended to effectively solveother structural dynamic problems.
- reduced-basis method /
- composite laminated plate /
- transient response /
- hybrid numerical method