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An improved finite difference method for plate vibration
Author(s) -
Chang Anthony T.
Publication year - 1972
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620050214
Subject(s) - finite strip method , vibration , finite difference method , finite difference , natural frequency , finite element method , mathematics , computer science , mathematical optimization , mathematical analysis , structural engineering , acoustics , engineering , physics
An improved finite difference method is presented. This is exemplified by computing the natural frequency of vibrating plates. A new formulation of the problem showing computational advantages is derived. A procedure for efficient implementation of the improved method is given. Numerical examples are calculated showing results comparable to other methods but employing far fewer unknowns.