Free vibration analysis of elastically connected composite laminated double-plate system with arbitrary boundary conditions by using meshfree method (original) (raw)
Related papers
An efficient meshfree method for vibration analysis of laminated composite plates
Computational Mechanics, 2011
A detailed analysis of natural frequencies of laminated composite plates using the meshfree moving Kriging interpolation method is presented. The present formulation is based on the classical plate theory while the moving Kriging interpolation satisfying the delta property is employed to construct the shape functions. Since the advantage of the interpolation functions, the method is more convenient and no special techniques are needed in enforcing the essential boundary conditions. Numerical examples with different shapes of plates are presented and the achieved results are compared with reference solutions available in the literature. Several aspects of the model involving relevant parameters, fiber orientations, lay-up number, length-to-length, stiffness ratios, etc. affected on frequency are analyzed numerically in details. The convergence of the method on the natural frequency is also given. As a consequence, the applicability and the effectiveness of the present method for accurately computing natural frequencies of generally shaped laminates are demonstrated.
Archive of Applied Mechanics, 2012
A global higher-order shear deformation theory is devised to obtain the governing equations of composite plates under dynamic excitation. The time-harmonic solution leads to an eigenvalue problem for the natural frequencies of plates. The eigenvalue problem for rectangular plates is converted to a set of homogenous algebraic equations using differential quadrature method. The formulation of the problem allows direct application of various boundary conditions. Therefore, rectangular plates with mixed boundary conditions are also considered. To show the validity of results, the fundamental natural frequencies of composite plates with different boundary conditions and those of isotropic plates with mixed boundary conditions are compared against the results available in the literature.
Computers & Structures, 2016
A method is presented to study the free vibrations of rectangular laminated composite plates with general layups and arbitrary boundary conditions. Based on the first-order shear deformation theory, the governing differential equations and boundary conditions are deduced via Hamilton's principle. Generalised displacements are expanded as series with Legendre polynomials as a base functions. A generalised eigenvalue problem is obtained by following a variational approach, where energy functional is extremised and boundary conditions are introduced by means of Lagrange multipliers. In order to overcome some difficulties in obtaining the natural frequencies and corresponding mode shapes, a new numerical strategy is proposed.
Science and Technology Development Journal
A novel meshfree radial point interpolation approach which employs a new numerical integration scheme is introduced. The new integration scheme, namely Cartesian Transformation Method, transforms a domain integral into a double integral including a boundary integral and a one-dimensional integral, and thus allowing integration without discretizing domain into sub-domains usually called background mesh in traditional meshfree analysis. A new type of radial basis function that is little sensitive to user-defined parameters is also employed in the proposed approach. The present approach is applied to free vibration and buckling analysis of thin laminated composite plates using the classical Kirchhoff’s plate theory. Various numerical examples with different geometric shapes are considered to demonstrate the applicability and accuracy of the proposed method.
Improving Vibration analysis of laminated composite plate by using WU-C2 RBF based Meshfree Method
IOP Conference Series: Materials Science and Engineering, 2018
The paper presents free vibration analysis of laminated composite plates using WU-C2 RBF based meshfree method. Analysis of vibration response of laminated plate using three transverse shear functions is carried out using simply supported boundary conditions. The governing equations are based on HSDT and Hamilton principle. The effect of side to thickness ratio can be accurately analysed using the present meshless method. Performance of the present method is illustrated by investigating characteristic properties of laminated composite through numerical examples.
Study of Free Vibration Analysis of Rectangular Laminated Plate without Cut-Out
IJSTE - International Journal of Science Technology & Engineering, 2018
Composite materials are made from the combination of two or more materials with different chemical and physical properties, which when combined give a new material with enhanced material properties. Our study is concerned with the analysis of free vibration of rectangular plate without cut-out. We study the effects of aspect/size ratio, thickness ratio, and angle of the laminate, number of laminates, material properties and different boundary conditions.
Free Vibration Analysis Of Composite Laminate For Different Simply Supported Boundary Condition
Abstract— This paper analyzed free vibration characteristics of Rectangular Composite laminate Plate for different boundary conditions. The analysis is performed using ANSYS APDL software package, in which SHELL element is used. The effects of Aspect ratios, Side-to-Thickness ratios and Modulus ratios on the plate vibration for different boundary condition are studied in this investigation and the first five frequencies mode shapes are studied. It is found from analysis that the natural frequencies of composite plate increases with increasing the constraint on the edges of plate. This work investigated the effects of four types of edge conditions such as a combination of simply supported, clamped and free boundaries condition like as SSSS, SSSF, SFSF and CFSF. 2D graphs used effectively for comparing various conditions. The results compared with available literatures and found that ANSYS is a good tool in the hand of a design engineer.
International Journal for Numerical Methods in Engineering, 1989
A C'O finite element formulation of the higher-order theory is used to determine the natural frequencies of isotropic, orthotropic and layered anisotropic composite and sandwich plates. The material properties that are typical of high modulus fibre reinforced composites are used to show the parametric effects ofplate aspect ratio, Icngth-to-thickness ratio, degree of orthotropy, number of layers and lamination angle/scheme. The present theory is based on a higher-order displacement model and the three-dimensional Hooke's laws for plate material. The theory represents a more realistic quadratic variation of the transverse shearing strains and linear variation' of the transverse normal strains through the plate thickness. A special mass matrix diagonalization scheme is adopted which conserves the total mass of the element and includes the effects due to rotary inertia terms. The results.presented should he useful in obtaining better correlation between theory and experiment, and to numerical analysts in vcrifying their results.
The present article reviews the recent research done on the free vibration analysis of multilayered laminated composite and sandwich plates using various methods available for the analysis of plates. Displacement fields of various displacement based shear deformation theories have been presented and compared. Also, some numerical results related to fundamental flexural mode frequencies of laminated composite and sandwich plates are presented using a trigonometric shear and normal deformation theory. The theory involves six unknown variables and does not require problem dependent shear correction factor. Governing differential equations and associated boundary conditions of the theory are derived by employing the dynamic version of the principle of virtual work. Navier-type closed-form solutions are obtained for simply supported laminated composite and sandwich plates. The present results are compared with exact elasticity solution and other higher order shear deformation theories wherever applicable. This article cites 391 references.
Free Vibration Analysis of Stiffened Laminated Composite Plates
International Journal of Computer Applications, 2016
Stiffened Laminated composite plates are widely used in the aerospace, civil, marine, and automotive industries due to their high specific stiffness and strength, excellent fatigue resistance, long durability and many other superior properties compared to ordinary plates. In this paper, the effect of stiffener configuration, number of layers and boundary conditions on the free vibration response of stiffened laminated composite plates are examined with respect to natural frequencies and mode shapes. Six rectangular stiffeners configurations models are used with two types of boundary conditions which are simply and clamped supported. Comparative study is conducted to investigate the effect of stiffener configuration, number of layers and boundary conditions on the free vibration response of stiffened laminated composite plates using the finite element system ANSYS16.