Abstract
In this study, free vibration analysis of a cross-ply laminated composite beam (LCB) on Pasternak foundation was investigated. Natural frequencies of beam on Pasternak foundation are computed using finite element method (FEM) on the basis of Timoshenko beam theory. Effect of both shear deformation and rotary inertia are implemented in the modeling of stiffness and mass matrices. The model was designed in such a way that it can be used for single-stepped cross-section, stepped foundation and multi-span beams. Results of few examples are compared with finding in literature and good agreements were achieved. Natural frequencies of LCBs with different layers arrangements (symmetric and non-symmetric) are compared. For multi-span beam, variation of frequency with respect to number of spans was also studied.
Highlights
Composite materials have numerous applications in aircraft and car industries because of the high strength to weight ratio, resistance in fatigue and low damping factor
Subramanian[7] has investigated free vibration analysis of laminated composite beam (LCB) by using two higher order displacement based on shear deformation theories and finite elements
For the first time to-date, the same analysis was conducted for a single-stepped LCB on Paternak foundation
Summary
Composite materials have numerous applications in aircraft and car industries because of the high strength to weight ratio, resistance in fatigue and low damping factor. Several researchers have investigated the free vibration of uniform cross-section LCBs with no foundation. Thambiratnam and Zhug[2] have implemented finite element method to study the free vibration analysis of isotropic beams with uniform cross section on an elastic foundation using Euler-Bernoulli beam theory. Banerjee[3] has investigated the free vibration of axially laminated composite Timoshenko beams using dynamic stiffness matrix method.
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