梁的广义特征值反问题及离散模型修正
Generalized Inverse Eigenvalue Problem and Model Updating for Discrete Beam
作者: 孙振威 , 马茹茹 , 贾志刚 ：江苏师范大学数学与统计学院，江苏 徐州 ;
关键词: 广义特征值反问题； 最小二乘； 矩阵范数； 模型修正； 最优解； Generalized Inverse Eigenvalue Problem； Least Squares； Matrix Norm； Model Updating； Optimal Solution
摘要:Abstract: In this paper, we study the generalized inverse eigenvalue problem and the optimal model updating problem according to two given eigenpairs, while the total mass of beam is unknown. We present the general solution of the inverse generalized eigenvalue problem. Aiming at the beam model updating problem, we use the least squares method to compute the optimal quality parameter to minimize the distance between the physical parameters of the new beam system and those of the original one.
文章引用: 孙振威 , 马茹茹 , 贾志刚 (2015) 梁的广义特征值反问题及离散模型修正。 应用数学进展， 4， 230-237. doi: 10.12677/AAM.2015.43029
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