Application of spline element for large-amplitude free vibrations of laminated orthotropic straight/curved beams
1998; Elsevier BV; Volume: 29; Issue: 1 Linguagem: Inglês
10.1016/s1359-8368(97)00025-5
ISSN1879-1069
AutoresM. Ganapathi, B.P. Patel, J. Saravanan, M. Touratier,
Tópico(s)Dynamics and Control of Mechanical Systems
ResumoUsing a cubic B-spline shear flexible curved element, based on the field consistency principle, the nonlinear free flexural vibrations of isotropic/laminated orthotropic straight/curved beams have been studied. The nonlinear governing equations are solved by employing Newmark's numerical integration scheme coupled with modified Newton-Raphson iteration technique. Amplitude-frequency relationships are obtained from the non-linear dynamic response history. Detailed numerical results are presented for various parameters for isotropic and laminated orthotropic beams. The present study brings out the type of non-linearity associated with the curved beams and its dependency on the interaction of curvature with initial amplitude of the beams.
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