<正> The separation of variables is employed to solveHamiltonian dual form of eigenvalue problem for transversefree vibrations of thin plates,and formulation of the naturalmode in closed form is performed.The closed-form natu-ral mode satisfies the governing equation of the eigenvalueproblem of thin plate exactly and is applicable for any typesof boundary conditions.With all combinations of simply-supported(S)and clamped(C)boundary conditions appliedto the natural mode,the mode shapes are obtained uniquelyan...
【英文摘要】
The separation of variables is employed to solve Hamiltonian dual form of eigenvalue problem for transverse free vibrations of thin plates,and formulation of the natural mode in closed form is performed.The closed-form natu- ral mode satisfies the governing equation of the eigenvalue problem of thin plate exactly and is applicable for any types of boundary conditions.With all combinations of simply- supported(S)and clamped(C)boundary conditions applied to the natural mode,the mode shapes are obtained unique...
【基金】
supported by the National Natural Science Foundation of China (10772014)
【更新日期】
2010-09-13
【分类号】
O302
【正文快照】
1 Int功dUCtionThe exact solutionsforthefreevibrationProblemofarectan-gular thin Plate ean be obtained only for the ease with at leasttwo oPPosite edges simPly suPPorted by the semi一inversemethod.How to obtain exaet solutions for other eases isabottleneek
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