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Free vibration of axisymmetric solids by BEM using particular integrals
Author(s) -
Wang HuiChing,
Banerjee Prasanta K.
Publication year - 1990
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.1620290506
Subject(s) - rotational symmetry , vibration , mathematics , mathematical analysis , physics , geometry , acoustics
The free vibration of solids of revolution had never been solved by the Boundary Element Method (BEM) until a previous paper 10 by the authors, in which the BEM was combined with the method of particular integrals to solve axisymmetric free vibration problems. In this paper the previously developed analysis is extended to study the non‐axisymmetric free vibration of axisymmetric solids. The developed analysis has been implemented in a general purpose BEM system. Free vibrations of solid and hollow cylinders, a hyperbolic cooling tower and a gas turbine shell are used as examples, and their results are compared with those given by other methods. Except for low modes of very thin shells, good agreement can be seen.