A finite element method for non-linear forced vibrations of beams

✍ Scribed by C. Mei; K. Decha-Umphai

• Publisher: Elsevier Science
• Year: 1985
• Tongue: English
• Weight: 520 KB
• Volume: 102
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(85)80148-6

✦ Synopsis

Geometric non-linearities for large amplitude free and forced vibrations of beam are investigated. Longitudinal displacement and inertia are included in the formulation. The finite element method is used. The harmonic force matrix is introduced and derived. Various out-of-plane and inplane boundary conditions are considered. Results showing the dependence of the amplitude on the frequency ratio and on the strain are presented for ditterent boundary conditions and loads. It is concluded that the effects of longitudinal deformation and inertia are to reduce the non-linearity.