Abstract
This paper presents an improvement to the truncated modal summation representation of eigenvector derivatives for free-free structures. In this method, the eigenvector derivative is assumed to be spanned by the available lower modes and the unavailable higher modes. The contribution due to the available modes to the eigenvector derivative is computed from the governing equation for the eigenvector derivative, while the contribution due to the unavailable modes is explicitly and accurately expressed using the available modes and the system matrices. An approach to the singularity of the stiffness matrix is presented, in which a shift in eigenvalues is introduced to avoid the singularity and accelerate the convergence speed. A numerical example is given to illustrate the effectiveness of the present method.
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