| 不连续问题的微分求积(DQ)法 |
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| 引用本文： | 韩海涛,张铮,卢子兴.不连续问题的微分求积(DQ)法[J].机械强度,2010,32(2). |
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| 作者姓名： | 韩海涛 张铮 卢子兴 |
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| 作者单位： | 北京航空航天大学航空科学与工程学院,北京,100191 |
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| 基金项目： | 凡舟基金(20070501);;北京市教育委员会共建项目(XK100060522)资助 |
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| 摘 要： | 针对载荷不连续和结构几何不连续问题,系统地研究节点分布方式和载荷等效模式对微分求积法求解收敛性和精度的影响,提出一种基于改进的节点分布方式和载荷等效模式的微分求积(differential quadrature)法。继而分别以不同边界条件下受集中载荷和局域分布载荷的梁构件以及含分层层合板的面内弹性屈曲问题为例,对载荷不连续和结构几何不连续问题进行求解,证明文中方法的有效性。与传统的微分求积法相比,文中方法在处理非连续问题时,精度更高且收敛更快,为工程中采用微分求积法解决不连续问题提供一种高效可行的方法。
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| 关 键 词： | 微分求积法 载荷不连续 几何不连续 节点分布方式 载荷等效模式 |
DIFFERENTIAL QUADRATURE (DQ) METHOD OF DISCONTINUOUS PROBLEMS |
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| HAN HaiTao,ZHANG Zheng,LU ZiXing.DIFFERENTIAL QUADRATURE (DQ) METHOD OF DISCONTINUOUS PROBLEMS[J].Journal of Mechanical Strength,2010,32(2). |
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| Authors: | HAN HaiTao ZHANG Zheng LU ZiXing |
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| Affiliation: | School of Aeronautical Science and Engineering/a>;Beijing University ofAeronautics and Astronautics/a>;Beijing 100191/a>;China |
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| Abstract: | The influences of different modified node distribution modes and load equivalent methods to the convergence of solution are investigated,and an improved DQM (differential quadrature method) based on the of modified node distribution mode and load equivalent methods is proposed.As an example of load discontinuous problems,slender beams with different supports under concentrated forces and/or local loads are discussed.The applicability to the problems of discontinuous loads and geometric discontinuity is vali... |
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| Keywords: | Differential quadrature method Load discontinuity Geometric discontinuity Node distribution mode Load equivalent mode |
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