特異値分解のシステム同定への適用

概要

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System identification is one of the key technologies to predict accurately dynamic behavior of space structures. We must solve a linear simultaneous equation to identify the mass matrix and stiffness matrix of the structures. An exact solution can not be necessarily found because the coefficient matrix in the equation is ill-conditioned. The singular value decomposition is applied to obtain an approximate solution. This paper proposes a method to use the projected power as an indicator for determining how many singular values should be considered. A numerical example is given to show that the proposed method is effective for system identification. It is found that the identified mass and stiffness matrices can provide a highly accurate finite-element model mating with both vibration test and mass property test results.
社団法人日本機械学会の論文
1999-06-25