| 结构损伤诊断的改进灵敏度方法 |
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| 引用本文： | 刘岩,Belytschko Ted,张雄. 结构损伤诊断的改进灵敏度方法[J]. 固体力学学报, 2012, 33(1): 0-118 |
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| 作者姓名： | 刘岩 Belytschko Ted 张雄 |
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| 作者单位： | 绍兴文理学院 |
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| 基金项目： | 国家重点基础研究发展计划(2010CB832701);国家自然科学基金(11102097);清华大学人才支持计划资助 |
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| 摘 要： | 提出一种改进的灵敏度方法用于工程结构损伤检测中。通过在迭代算法中引入一个“加速”公式来迅速获得足够精确的识别结果，避免了多次迭代，可以大大减少计算花费。用文献[8]和文献[10]中的两个数值算例对所提方法进行了验证，并把结果和原文中的计算结果进行比较。结果表明：采用改进的方法一般只需经过一次计算即可获得精度更高的识别结果，避免了多次迭代，显著减少了计算花费，显示了改进方法突出的优越性。
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| 关 键 词： | 损伤诊断 灵敏度 频率 振型 |
| 收稿时间： | 2010-11-22 |
A MESHFREE SUPPORT INTEGRATION METHOD |
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| Yan Liu , Belytschko Ted , Xiong Zhang. A MESHFREE SUPPORT INTEGRATION METHOD[J]. Acta Mechnica Solida Sinica, 2012, 33(1): 0-118 |
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| Authors: | Yan Liu Belytschko Ted Xiong Zhang |
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| Affiliation: | 1(1 School of Aerospace,Tsinghua University,Beijing,100084)(2 Department of Mechanical Engineering,Northwestern University,2145 Sheridan Road,Evanston,IL 60208,USA) |
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| Abstract: | A support integration method based on the locality of meshfree methods was proposed for Petrov-Galerkin meshfree methods.Positions and weights of quadrature points were obtained through the requirements that the integral of test functions multiplied by polynomials can be evaluated exactly on the support domain.Only two quadrature points are needed in each dimension for each support domain.The computational cost is much decreased in comparison with background mesh integration.This method can calculate nodal forces exactly for linear stress field,so that the integral constraint condition is satisfied to ensure the stability.One-dimensional and two-dimensional examples show that this method has good accuracy and convergence rates. |
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| Keywords: | meshfree method support domain numerical integration integral constraint condition |
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