【摘要】 在设计一个线性振动系统时,为了获得某些希求的特征参数;或者为了调整数学模型的特征值,使能与试验值更好地符合,往往需要对原数学模型作些修改。利用线性规划,本文给出了一种求解逆特征值问题的迭代方法。通过算例说明本文方法是对线性振动系统进行再设计的一种有效和可靠的方法。更多还原

【Abstract】 In designing a linear vibratory system, the original mathematical model many undergo many modifications in order to obtain several more desirable eigenparameters or to adjust the eigenvalues of the mathematical model for better agreement with test data. Based on the linear programming, an iterative procedure for solving the inverse eigenvalue problem is presented in this paper. If a set of desirable eigenparameters is given, in addition, the bounds of the modified design parameters are constrained to assure that their sizes are within acceptable limits, with the help of eigenvalue sensitivity, a set of constraints can then be derived. Furthermore, if the minimization of the sum |Δx_j| is chosen as objective function, where Δx_j expresses the change in design parameter x_j, then a linear programming problem is constituted.更多还原