Structure Physical Parameter Identification On Basis Of Inverse Analysis Method

The article provides a method of physical parameter identification based on inverse analysis. On the basis of the fundamental theory of inverse eigenvalue, with the dampless system as research object, the paper presents two ways to identify structure physical parameter: one of them is based on inverse eigenvalue problem, the other is based on inverse response analysis. After introducing the inverse eigenvalue theory of mathematics and the inverse eigenvalue of structure dynamics, the paper brings out two identification equations on basis of inverse eigenvalue problem and inverse response analysis with linear parameter, deduces the direct solution to these problems. It also talks about the existence property and singularity property of their answer. At the end of each problem, it gives a simple example. To the two methods, the paper presents each an application example. Using the physical parameter identification method based on inverse eigenvalue, we proceed stiffness and damp identification to the THK guideway. In the last chapter, the article proceeds spindle physical parameter identification to CA6140 lathe. First, using finite element method, with the spindle treated as a girder structure, we give the cell stiffness matrix, cell mass matrix, general stiffness matrix, general mass matrix. Then, we do a Fulier transfer to the generalized inverse response equation. In the frequency field, we confirm several variables which are needed for the identification. At last, with the data of experiment, we can finish the physical parameter identification. Practice proves that, using the solution of generalized inverse response problem to physical parameter identification, is applicable not only to catenulate structure, but also to complicated structure. Using the method, we can change parameter identification into a mathematic problem after building model, experiment, matrix transfer. Our practice proves it applicable to use generalized inverse response theory to physical parameter identification.