Abstract
In this paper, the application of Lame's decomposition with solenoidal condition is studied on solving wave propagation problems in elastic cylinders and plates, and several existing analytic approaches are also remarked. For wave propagation problems in cylinders, it is demonstrated that the solenoidal condition for Lame's decomposition can be generalized to a more general constraint condition, and the existing approaches are found to be the special cases of Lame's decomposition under the general constraint condition. This result illuminates the reason why the different approaches have the equivalent frequency equations. For wave propagation problems in plates, the analysis using solenoidal condition leads to the same results as that given by existing analytic approach. Especially, through comparison, the fact is concluded that only solenoidal condition for Lame's decomposition is complete when the analysis for displacement components is considered.
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