Abstract
This paper presents a semi-analytical method to investigate the effect of intermediate elastic support on the natural frequencies of basalt fiber reinforced polymer (FRP) laminated, variable thickness plates based on the finite strip transition matrix (FSTM) method. The plate has a uniform thickness in x direction and varying thickness hy in y direction. A singular value decomposition algorithm is employed at the intermediate support to eliminate the dependence of the solution of the first span on another span. By a new treatment of the intermediate line support, the dimension of the final matrix of the general solution will be the same as that of plates without intermediate support. Numerical results for different combinations of classical boundary conditions at the plate edges with different elastic restraint coefficients (KT) for intermediate elastic support are presented to obtain the first six frequency parameters. The illustrated results are in excellent agreement with solutions available in the literature, thus validating the accuracy and reliability of the proposed technique.
Highlights
Continuous plates and plates with intermediate stiffeners are very common in many engineering fields such as aerospace industries, civil engineering and marine engineering
Xiang et al [6] reported free vibration behavior of laminated seven composite plates based on the th order shear deformation theory and this theory satisfies the zero transverse shear stress boundary conditions
Thinh et al [12] examined the bending and vibration analysis of multi-folding laminate composite plate using finite element method based on the first order shear deformation theory (FSDT)
Summary
Continuous plates and plates with intermediate stiffeners are very common in many engineering fields such as aerospace industries, civil engineering and marine engineering. ALTABEY in-plane vibrations of single-layer and symmetrically laminated rectangular composite plates with an arbitrary combination of clamped and free boundary conditions He used Rayleigh-Ritz method to calculate in-plane natural frequencies and modes shapes with a simple, stable and computationally efficient set of trigonometric functions. Thinh et al [12] examined the bending and vibration analysis of multi-folding laminate composite plate using finite element method based on the first order shear deformation theory (FSDT) They investigated the effect of folding angle on deflections, natural frequencies and transient displacement response for different boundary conditions of the plate. Four different classical boundary conditions are considered in the analysis with different elastic restraint coefficients ( ) for intermediate elastic support to obtain the first six frequency parameters, some new data which can serve as the benchmark for further research are presented in this work
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