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Finite elements for the vibration of cones and cylinders
Author(s) -
Ross C. T. F.
Publication year - 1975
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.1620090405
Subject(s) - cylinder , conical surface , vibration , tower , mechanics , cone (formal languages) , structural engineering , normal mode , materials science , geometry , physics , mathematics , acoustics , engineering , algorithm
Elemental mass matrices have been produced for the vibration of conical and cylindrical shells, based on a semi‐analytical approach. Frequencies and modes of vibration have been compared with existing solutions and also with experimental results obtained from other sources. Good agreement has been found between theory and experiment for thin‐walled circular cylinders and cones, a cone‐cylinder combination, and a cooling tower model. A theoretical investigation was also made on the vibration of a circular cylinder when subjected to uniform pressure.