Journal of KSNVE (소음진동)
- Volume 9 Issue 1
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- Pages.103-112
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- 1999
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- 1226-0924(pISSN)
Modal Analysis of One Dimensional Distributed Parameter Systems by Using the Digital Modeling Technique
디지털 모델링 기법에 의한 1차원 연속계의 모드 해석
Abstract
A new modeling and analysis technique for one-dimensional distributed parameter systems is presented. First. discretized equations of motion in Laplace domain are derived by applying discretization methods for partial differential equations of a one-dimensional structure with respect to spatial coordinate. Secondly. the z and inverse z transformations are applied to the discretized equations of motion for obtaining a dynamic matrix for a uniform element. Four different discretization methods are tested with an example. Finally, taking infinite on the number of step for a uniform element leads to an exact dynamic matrix for the uniform element. A generalized modal analysis procedure for eigenvalue analysis and modal expansion is also presented. The resulting element dynamic matrix is tested with a numerical example. Another application example is provided to demonstrate the applicability of the proposed method.
Keywords