Abstract
In this paper, the meshfree method is adopted for the first time to study the free vibration of a composite laminated double-plate system (CLDPS). The first order shear deformation theory is used to analyze the free vibration of the CLDPS, and the artificial elastic spring technique is utilized to generalize its boundary conditions. All of the displacement functions including the boundary conditions are approximated by a meshfree shape function. The reliability and accuracy of the proposed technique are verified through the comparison with the results in the previous literature and by the finite element method. The effects of various boundary conditions, material properties, and geometries of the CLDPS on its natural frequencies are considered in detail.
Highlights
The plate, which is one of the most important construction elements, is widely used in many fields such as machine engineering, aviation transportation, the automobile industry, and civil engineering
New numerical results including the natural frequencies of the composite laminated double-plate system (CLDPS) are obtained, and some parameters such as the stiffness of the elastic bonding spring and the geometry of the CLDPS affecting the free vibration of the CLDPS are investigated
Since the meshfree method is a discretization method of region only using nodes instead of mesh when establishing the systematic equation in the problem domain, it is apparent that the number of nodes has a great effect on the accuracy of natural frequency of the CLDPS
Summary
Scitation.org/journal/adv be found in many literature studies. Many scholars, based on these different plate theories, applied such solution methods as the finite element method (FEM), Rayleigh–Ritz approach, and differential quadrature method (DQM) to study the dynamics of the CLP. Many scholars, based on these different plate theories, applied such solution methods as the finite element method (FEM), Rayleigh–Ritz approach, and differential quadrature method (DQM) to study the dynamics of the CLP. Some investigators studied the free and forced vibrations of different double-beam systems by using a Bernoulli–Fourier method. From the survey of the preceding literature, it can be seen that a number of studies on a single CLP have been performed, but the research on the composite laminated double-plate system (CLDPS) elastically coupled along the z direction has never been done. The effects of some parameters such as the material property, stiffness of the elastic bonding spring, and plate’s thickness on the natural frequencies of the CLDPS are discussed These data will be useful to the researchers of this field
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