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Large amplitude vibration of horizontally curved beams: a finite element approach

โœ Scribed by M. Mukhopadhyay; A.H. Sheikh

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
359 KB
Volume
180
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

Large amplitude free flexural vibrations of horizontally circular curved beams have been investigated for the first time. Numerical solutions have been obtained by the finite element method. A three-noded horizontally curved isoparametric beam element has been chosen for this purpose. A non-linear stiffness matrix has resulted due to bending-membrane coupling. The non-linear eigenvalue problem has been solved by the direct iteration technique. As no existing results are available for the problem at hand, large amplitude frequencies obtained for curved beams having large radius and small included angle are first compared with straight beams for varying parameters having different support conditions. A large number of results for the non-linear frequencies of horizontally curved beams having varying included angles, radii, amplitude ratios and support conditions have been evaluated.

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