FREE VIBRATION ANALYSIS OF ARBITRARILY SHAPED PLATES WITH CLAMPED EDGES USING WAVE-TYPE FUNCTIONS

✍ Scribed by S.W. KANG; J.M. LEE

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 693 KB
• Volume: 242
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.2000.3347

✦ Synopsis

The basic idea related to the non-dimensional dynamic in#uence (Green's) function de"ned in an in"nite membrane has been applied to the free vibration analysis of arbitrarily shaped plates with clamped edges. Another non-dimensional dynamic in#uence function newly de"ned in the paper exactly satis"es the governing homogeneous di!erential equations of plates and is regular in the entire domain. The proposed method uses the boundary discretization scheme similar to that of the boundary element method but does not require any interpolation function between the nodes distributed along the boundary. As a result, the method has a signi"cant advantage in its simplicity and accuracy. Although the method uses no interpolation function, it gives very accurate eigenvalues and mode shapes compared with the exact solutions or FEM results. It should be also noted that particular attention is given to reduce the size of the system matrix whose determinant equation yields eigenvalues, and to overcome the functional dependence problem of the non-dimensional dynamic in#uence functions.