Vibration Analysis of Continuous Bodies Using Analytic Solutions Discretized on Boundaries : A Basic Study on Two-Dimensional Problems Described by Helmholtz's Equation

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概要

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• We discuss a new method of analyzing two-dimensional eigenvalue problems described by Helmholtz's equation. A general solution is assumed as a linear combination of plane waves which have the same wave number and travel in different directions. Nodal points are located only on the boundary of a convex domain which has an arbitary shape. A set of equations similar to finite-element equations can be derived from the general solutions. Eigenvalues obtained by this method are very close to the exact values. This method is effective in simplifying of the programming and in shortening computational time.

• 一般社団法人日本機械学会の論文
• 1995-09-15

著者

• Nakagawa Toshiaki

  Toyota Central R&d Laboratories Inc.

• URATA Yoshihiko

  Department of Mechanical Engineering, Nagoya Institute of Technology

• Urata Yoshihiko

  Department Of Mecanical Engineering Shizuoka Institute Of Science And Technology

関連論文

• A Method of Vibration Analysis by Use of Analytical Solutions Together with the Finite Element Method : Applications to Two-Dimensional Acoustic Problems
• Vibration Analysis of Continuous Bodies Using Analytic Solutions Discretized on Boundaries : A Basic Study on Two-Dimensional Problems Described by Helmholtz's Equation

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