Nonlinear vibration and dynamic stability analysis of composite plates

✍ Scribed by M.K. Singha; Rupesh Daripa

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 674 KB
• Volume: 328
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/j.jsv.2009.08.020

✦ Synopsis

Large amplitude flexural vibration characteristics of composite plates under transverse harmonic pressure or periodic in-plane load are investigated here using the shear deformable finite element method. The nonlinear stiffness matrix is formulated based on von K arm an's assumptions to obtain the stiffness interaction between the in-plane and bending degrees of freedom. Further, the flexural motion of the plate is assumed to be harmonic and the in-plane movement is assumed to be periodic. The nonlinear matrix amplitude equation is obtained by employing Galerkin's method. The coupled nonlinear matrix amplitude equation (in-plane motion is coupled with flexural motion) is solved to obtain (1) nonlinear free flexural vibration frequencies of isotropic and composite plates with different in-plane boundary conditions, (2) flexural vibration amplitudes of such plates under transverse harmonic pressure or periodic in-plane load. Finally, the time history analysis is carried out to understand the steady-state or unsteady nature of the flexural vibration under different loading and boundary condition.