摘要
本文运用矩阵摄动方法,建立了结构动力学反问题的数学模型。将质量和刚度摄动看成是对原结构的简谐激励,获得原结构广义坐标的受迫振动方程。对质量矩阵受摄结构,给出了动力学反问题与正问题的三个互逆定理,并深入讨论了定理的力学特性、适用前景等问题。最后的算例验证了理论分析的可行性。
By using the matrix perturbation mcthods, a mathematical model of inversc dynamic problems on structure has been set up in this paper. If mass or stiffness perturbation is considered to be a harmonic excitation, one has obtained a forced vibration equation to the original structure. For the perturbation of mass matrix, this paper has given three mutual-coverse theorems on the inverse and obverse dynamin Problems, and has deeply discussed dynamical properties and applied. prospects on these theorems. Finally, the numerical examples have proven the reliability of the theoretical analysis of this paper.
关键词
结构
动特性修改
矩阵摄动
反问题
dynamic property modification of structure
Inverse problem
matrix perturbation
mutual-converse theorem
