Abstract
In this paper, a new technique of state vector approach to solving damping ratios of adaptive structures is proposed, by which the state matrix can be analytically conducted the Cholesky decomposition, providing that the mass matrix is derived by lumped method. In this case, not only the computional accuracy is raised, but also the numerical operations are reduced. Finally, some numerical results are presented to show that the solution method is simple and efficient.
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Communicated by Zhang ruqing
Foundation item: the National 863 Program Foundation of China(863-2-4-4-4)
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Lianwen, Z., Renwei, X. & Guangwu, Z. Computation of frequencies and damping ratios for adaptive structures. Appl Math Mech 20, 690–697 (1999). https://doi.org/10.1007/BF02464944
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DOI: https://doi.org/10.1007/BF02464944