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基于减基法的层合板瞬态响应快速分析方法
EFFICIENT METHOD FOR TRANSIENT ANALYSIS IN LAMINATED PLATES BASED ON REDUCED-BASIS METHOD
【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.
【Abstract】 In this paper,the combination of hybrid numerical method(HNM)and reduced-basis method (RBM)is suggested to more effectively analyze the transient displacement response in composite laminated plates.The large eigenvalue problem in wavenumber domain is projected onto a reduced basis space constructed by the truncated eigenvectors from the sample set.The numerical examples demonstrate the efficiency and accuracy of the presented method,which also can be extended to effectively solve other structural dynamic problems.
【关键词】 减基法;
复合材料层合板;
瞬态响应;
混合数值法;
【Key words】 reduced-basis method; composite laminated plate; transient response; hybrid numerical method;
【Key words】 reduced-basis method; composite laminated plate; transient response; hybrid numerical method;
【基金】 国家自然科学基金(10572048);国家杰出青年科学基金(10725208)资助项目
- 【文献出处】 力学学报 ,Chinese Journal of Theoretical and Applied Mechanics , 编辑部邮箱 ,2008年02期
- 【分类号】TB33
- 【被引频次】16
- 【下载频次】162