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动力模型修正中逆特征值问题的数值解法 总被引:3,自引:0,他引:3
本文提出了一种参数型模型修正的方法,因为这种方法与经典的逆特征值问题的提供是一致的,所以先建立起与逆问题等价的关于设计参数的非线性方程组,然后构造出可以用Newtow法求解的格式。数值仿真结果表明本文方法具有较好的收敛性和较高的计算精度。 相似文献
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裂纹问题的一致性高阶无网格法 总被引:2,自引:0,他引:2
一致性高阶无网格法能高效精确地求解连续体问题,尤其是能得到高精度的应力场。本文将该方法拓展到应力解析精度至关重要的裂纹问题(即非连续体问题)的数值分析。采用背景积分网格描述裂纹几何,基于无需增加节点额外自由度的虚拟节点法描述裂纹处位移场的间断,提出了虚拟节点的引入算法和断裂单元的数值积分方法。为进一步模拟裂纹扩展,采用相互作用积分方法计算应力强度因子,裂纹的扩展方向由最大周向应力准则确定。数值结果表明,本文发展方法能够精确地通过间断分片试验;相较于标准的高阶无网格法和低阶一致性无网格法,本文的一致性高阶无网格法显著改善了应力强度因子的计算精度,能够准确预测裂纹扩展路径。 相似文献
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IntroductionTheproblemforcomputingeigenpairderivativeshasoccupiedmanyresearchersinthepastseveraldecades.SurveypaperbyAdelmanandHaftka[1]isanexcellentintroductiontothetopicandalsoindicatevariousdisciplinesofapplications.Thereasonwhysomanypeopleareinterestedinthisproblemisthatsensitivitiesplayaveryimportantroleinstructuraldynamics,optimalanalysisandcontrolsystemdesign ,andmayalsobeanexpensiveandtime_consumingtask.Researchonsensitivityofmultipleeigenvalueshasbeenanareaofsignificantinterestinrece… 相似文献
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IntroductionThephysicsparameteridentificationproblemsarefrequentlyencounteredinthefieldsofaviation,space,mechanismandcivilengineering .Forexample ,duetothecomplexityofmaterialpropertiesincivilengineering ,thephysicsparametersusuallyareidentifiedbytestdat… 相似文献
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The structural dynamics problems, such as structural design, parameter identification and model correction, are considered as a kind of the inverse generalized eigenvalue problems mathematically. The inverse eigenvalue problems are nonlinear. In general, they could be transformed into nonlinear equations to solve. The structural dynamics inverse problems were treated as quasi multiplicative inverse eigenalue problems which were solved by homotopy method for nonlinear equations. This method had no requirements for initial value essentially because of the homotopy path to solution. Numerical examples were presented to illustrate the homotopy method. 相似文献
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基于代数特征值逆问题理论,提出了一种利用静力试验数据修正有限元模型方法。由于修正后的模型为满阵,根据有限元模型的力学特征对修正后的模型加以约束,使其不仅是对称的,而且还保持稀疏、带状特性,其计算过程简洁,计算结果表明该方法可靠,效果令人满意。 相似文献
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