| 一种动力响应混合快速分析方法及其在功能梯度材料板瞬态响应分析中的应用 |
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| 引用本文： | 黄永辉,韩旭,冉承新.一种动力响应混合快速分析方法及其在功能梯度材料板瞬态响应分析中的应用[J].固体力学学报,2009,30(2). |
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| 作者姓名： | 黄永辉 韩旭 冉承新 |
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| 作者单位： | 1. 汽车车身先进设计制造国家重点实验室湖南大学机械与汽车工程学院,长沙,410082
2. 国防科学技术大学信息系统与管理学院,长沙,410073 |
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| 基金项目： | 国家杰出青年科学基金，高等学校博士学科点专项科研基金，湖南省杰出青年科学基金 |
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| 摘 要： | 提出了一种把减基法嵌套在Newmark法中快速求解动力问题的混合算法.这种算法把Newmark法作为动力问题的基本求解器.而在嵌套减基法时,把参数样本空间对应的解集做成一个训练空间,采用贪婪算法进行减基空间基向量的自适应选取,进而由减基空间得到减缩系统.通过求解减缩系统对应的Newmark增量式来达到快速求解动力问题的目的.最后采用了一个无限大的功能梯度材料板的瞬态响应分析来验证文中方法的高效性和精确性.
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| 关 键 词： | 减基法 动力问题 Newmark法 贪婪算法 |
AN EFFICIENT METHOD FOR DYNAMIC PROBLEMS AND ITS APPLICATION TO THE TRANSIENT RESPONSE ANALYSIS FOR FUNCTIONALLY GRADED MATERIAL PLATES |
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| Yonghui Huang,Xu Han,Chengxin Ran.AN EFFICIENT METHOD FOR DYNAMIC PROBLEMS AND ITS APPLICATION TO THE TRANSIENT RESPONSE ANALYSIS FOR FUNCTIONALLY GRADED MATERIAL PLATES[J].Acta Mechnica Solida Sinica,2009,30(2). |
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| Authors: | Yonghui Huang Xu Han Chengxin Ran |
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| Institution: | 1State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body;College of Mechanical and Automotive Engineering;Hunan University;Changsha;410082;2College of Information System and Management;National University of Defence Technology;410073 |
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| Abstract: | In this paper,a hybrid method is developed to real-timely solve dynamic problems governed by second partial differential equation(PDE).The present method involves the combination of reduced-basis method(RBM) and implicit Newmark's method.In this method,it needs a training space,which contains the solutions corresponding to some carefully selected sample parameters and all time steps.A greedy algorithm is adopted to adaptively select basis vectors from the training space for constructing reduced basis space.... |
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| Keywords: | reduced-basis method dynamic problem Newmark method greedy algorithm |
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