Out-of-plane bending and torsional resonance frequencies and mode shapes of symmetric cross-ply laminated beams including shear deformation and rotary inertia effects

✍ Scribed by Y?ld?r?m, Vebil

• Publisher: John Wiley and Sons
• Year: 2000
• Tongue: English
• Weight: 144 KB
• Volume: 16
• Category: Article
• ISSN: 1069-8299
• DOI: 10.1002/(sici)1099-0887(200001)16:1<67::aid-cnm303>3.0.co;2-a

✦ Synopsis

In this study, the stiness method solution based on the ®rst order shear deformation theory is used for the purely out-of-plane (out-of-plane bending and torsional) free vibration analysis of symmetric cross-ply laminated beams. A beam element has six degrees of freedom. The in¯uence of the rotary inertia terms is included in the solution. Accounting for the shear deformation eects, the exact numerical element stiness matrix is obtained based on the transfer matrix method. The element inertia matrix consists of the concentrated masses. The sub-space iteration and Jacobi's methods are employed in the solution of the large-scale general eigenvalue problem. The out-of-plane vibration mode shapes associated with the ®rst eight natural frequencies of the vibration composite beam with several boundary conditions are illustrated.