论文信息 - The eigenvalue problem for structural systems with statistical properties.

The eigenvalue problem for structural systems with statistical properties.

The treatment of matrix eigenvalue problems with statistical properties is presented in a general form including correlation between matrix elements. Linear equations are formulated for the statistics of the eigenvectors as well as eigenvalues. Results are applied to dynamic systems and verified by an independent Monte Carlo simulation. Although the applications in this study are all structural systems, the theory as developed is applicable to any problem leading to similar eigenvalue equations.

J. D. Collins | W. T. Thomson | W. Thomson

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