带有弹性边界支撑梁的多宗量反问题数值求解

摘要

利用有限元方法,建立了求解带有弹性边界支撑梁的多宗量反问题的数值模型,可对弹性支撑与本构参数进行单一/组合反演.由正演模型可方便地进行位移对支撑及本构参数的敏度分析,反问题采用Levenberg-Marquardt算法进行求解.数值验证结果表明,所提出的模型与方法考虑了噪声和测点位置的影响,是正确可行的.%A numerical model to solve multi-variables inverse problem for a beam with elastic boundary supports is presented by finite element method（FEM）,either elastic supports or constitutive parameters can be identified singly or simultaneously.The forward model is used to facilitate sensitivity analysis of displacements with respect to parameters of elastic supports and constitutive relationship.The Levenberg-Marquardt algorithm is employed in the process to solve the inverse problem.The impacts of data noise and the locations of measuring points on the solutions are taken into account,and the results of numerical verification show that the new model and method are correct and feasible.