Abstract:

A sensitivity analysis method of parameters in solving the inverse problem of structural dynamics is presented on the basis of the perturbation theory. By introducing a set of variable parameters in the structure, the derivatives of structural natural frequencies and/or modes with respect to these parameters are obtained so as to determine the sensitive elements or locations of the structure. In the degenerated case with multiple eigenvalues, the sensitivities of the natural frequencies are obtained by means of puiseux series and considered as the eigenvalues of the matrix. The method is very succinct and able to consider the degenerated case. It is easy to implement the method into the program and to realize the automatization of dynamic design for the structure. So it is suitable especially for engineering practice. This method has been applied to the vibration design of several beam frame structures in the aeronautical engineering. Its success is verified by experimental data,