Explicit Stiffness of Laminated Composite Beam with Rectangular Cross-Section and Its Application to Dynamic Shear Deformable Beam Element
摘要
The problem of explicit stiffness of members laminated with two hybrid materials was formulated and applied to dynamic analysis of the beam elements. The stiffness of these members was derived from their cross-sectional and material properties, expressed in terms of axial and flexural rigidities, mass per unit length, and mass moment of inertia. The focus is on the members with a rectangular cross-section. The formulated stiffness was applied to dynamic beam elements associated with free vibrations. The governing differential equation and boundary conditions for the lateral free vibrations of laminated beams, considering rotary inertia and shear deformation were derived. For solving this differential equation, numerical analyses were performed to obtain natural frequencies and mode shapes. To verify the natural frequencies obtained were compared with those calculated using the finite element method. As a result of numerical experiments, the effects of different beam parameters on the natural frequencies were discussed in detail.