一类固定-固定型无阻尼弹簧质点振动系统反问题
首发时间:2020-04-03
摘要:本文基于主系统的一个特征对和子系统的两个特征对,在总弹性系数的约束下,构造了一类固定-固定型无阻尼弹簧质点振动系统. 通过求解方程组得到了弹性系数、质点质量存在的条件, 进而给出了该问题有解的条件. 通过算法和数值实验验证,该算法是有效的.
关键词: 矩阵反问题, 固定-固定型, 弹簧质点振动系统, 矩阵特征对, 弹性系数, 质点质量
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The Inverse Problem of a Fixed-fixed Undamped Spring-mass Vibration System
Abstract:This paper is based on one eigenpair of the main system andtwo eigenpairs of the subsystem, under the constraint conditionsof the total elasticity coefficient, a class of a fixed-fixed undampedspring-mass vibration system is constructed. By solving theequations, the conditions for the existence of elastic coefficientsand mass of particles are obtained, furthermore, the conditions fora solution of the problem are given. The algorithm is proved to beeffective by algorithms and numerical experiments.
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一类固定-固定型无阻尼弹簧质点振动系统反问题
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