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Generalization and Differentiation
 in Semantic Memory: 42 from Semantic Dementia. Annals of the New York Academy of Sciences 1124
, 2008
"... Vibration analysis of symmetrically laminated plates based on FSDT using the moving least squares ..."
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Vibration analysis of symmetrically laminated plates based on FSDT using the moving least squares
Free vibration analysis of a nonuniform cantilever Timoshenko beam with multiple concentrated masses using DQEM
 Engineering Solid Mechanics
, 2013
"... In this paper, a differential quadrature element method (DQEM) is developed for free transverse vibration analysis of a nonuniform cantilever Timoshenko beam with multiple concentrated masses. Governing equations, compatibility and boundary conditions are formulated according to the differential q ..."
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In this paper, a differential quadrature element method (DQEM) is developed for free transverse vibration analysis of a nonuniform cantilever Timoshenko beam with multiple concentrated masses. Governing equations, compatibility and boundary conditions are formulated according to the differential quadrature rules. The compatibility conditions at the position of each concentrated mass are assumed as the continuity in the vertical displacement, rotation and bending moment and discontinuity in the transverse force due to acceleration of the concentrated mass. The effects of number, magnitude and position of the masses on the value of the natural frequencies are investigated. The accuracy, convergence and efficiency of the proposed method are confirmed by comparing the obtained numerical results with the analytical solutions of other researchers. The two main advantages of the proposed method in comparison with the exact solutions available in the literature are: 1) it is less timeconsuming and subsequently moreefficient; 2) it is able to analyze the free vibration of the beams whose section varies as an arbitrary function which is difficult or sometimes impossible to solve with analytical methods. }}
Different interface
"... approximations in multidomain GDQ simulation of Czochralski bulk flows ..."
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approximations in multidomain GDQ simulation of Czochralski bulk flows
Free Vibration Analysis of a Rotating NonUniform Blade with Multiple Open Cracks Using DQEM
"... Abstract In this paper, differential quadrature element method (DQEM) is used to analyze the free transverse vibration of a multiple cracked nonuniform Timoshenko blade rotating with a constant angular velocity. The blade’s deflection is assumed to be small so that the nonlinear terms can be neglec ..."
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Abstract In this paper, differential quadrature element method (DQEM) is used to analyze the free transverse vibration of a multiple cracked nonuniform Timoshenko blade rotating with a constant angular velocity. The blade’s deflection is assumed to be small so that the nonlinear terms can be neglected. Governing equations, compatibility conditions at the damaged crosssections and boundary conditions are derived and formulated by the differential quadrature rules. First, the precision of the proposed method is confirmed by the exact solutions available in the literature. Then, the effect of angular velocity value as well as the location, depth and numbers of the cracks are investigated on the natural frequencies of the blade. The advantages of the proposed method are applicable for blades with any arbitrary variable section and less timeconsuming for cases with several cracks.
Article
"... Finite strain analysis of nonlinear vibrations of symmetric laminated composite Timoshenko beams using generalized differential quadrature method ..."
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Finite strain analysis of nonlinear vibrations of symmetric laminated composite Timoshenko beams using generalized differential quadrature method
The Effect of Residual Stress on the Electromechanical Behavior of Electrostatic Microactuators
, 2008
"... This work simulates the nonlinear electromechanical behavior of different electrostatic microactuators. It applies the differential quadrature method, Hamilton's principle, and Wilsonθ integration method to derive the equations of motion of electrostatic microactuators and find a solution to ..."
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This work simulates the nonlinear electromechanical behavior of different electrostatic microactuators. It applies the differential quadrature method, Hamilton's principle, and Wilsonθ integration method to derive the equations of motion of electrostatic microactuators and find a solution to these equations. Nonlinear equation difficulties are overcome by using the differential quadrature method. The stresses of electrostatic actuators are determined, and the residual stress effects of electrostatic microactuators are simulated.
Generalised Differential Quadrature Method in the Study of Free Vibration Analysis of Monoclinic Rectangular Plates
"... Abstract Vibrat ion characteristics of monoclinic rectangular plate of exponentially varying thickness resting on elastic foundation have been studied on the basis of classical plate theory. Following Lévy approach i.e. t wo parallel edges (y = 0 and b) are assumed to be simp lysupported while the ..."
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Abstract Vibrat ion characteristics of monoclinic rectangular plate of exponentially varying thickness resting on elastic foundation have been studied on the basis of classical plate theory. Following Lévy approach i.e. t wo parallel edges (y = 0 and b) are assumed to be simp lysupported while the other two edges (x = 0 and a) may have either of three co mbinations CC, CS or CF, where C, S and F stand for clamped, simp ly supported and free edge, respectively. Assuming the transverse displacement w to vary as sin (p y/b), the part ial differential equation wh ich governs the motion of equation is reduced to an ordinary differential equation in x with variab le coefficients. The resulting ordinary differential equation has been solved by Generalised Differential Quadrature Method (GDQM) for all the boundary conditions considered here. The effect of various plate parameters has been studied on the natural frequencies for the first three modes of vibration. Convergence studies have been carried out for four decimal exactitude. Mode shapes for all the three plates have been presented. The efficiency of generalized differential quadrature method for the natural frequencies of vibrat ion of monoclin ic rectangular p lates has been examined.
SUMMARY
, 2016
"... Application of differential quadrature method to simulate natural convection in a concentric annulus ..."
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Application of differential quadrature method to simulate natural convection in a concentric annulus
Treatment of mixed and nonuniform boundary conditions in GDQ vibration analysis of rectangular plates
, 1996
"... This paper deals with the treatment of mixed and nonuniform boundary conditions in the global method of generalized differential quadrature (GDQ) for the vibration analysis of rectangular plates. The discretized mixed and nonuniform boundary conditions are directly substituted into the governing equ ..."
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This paper deals with the treatment of mixed and nonuniform boundary conditions in the global method of generalized differential quadrature (GDQ) for the vibration analysis of rectangular plates. The discretized mixed and nonuniform boundary conditions are directly substituted into the governing equations in order to derive the eigenvalue equation system. The present approach overcomes the drawbacks of previous approaches such as the dtechnique in treating the boundary conditions. The accuracy and efficiency of the present approach are studied by comparing its solutions with available results. Some new solutions for plates with nonuniform and
Article
"... Nonlinear free vibration of an EulerBernoulli composite beam undergoing finite strain subjected to different boundary conditions AR Ghasemi1, F TaheriBehrooz2, SMN Farahani1 and M Mohandes1 In this paper, the free vibration of an orthotropic beam undergoing finite strain are studied. The second Pi ..."
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Nonlinear free vibration of an EulerBernoulli composite beam undergoing finite strain subjected to different boundary conditions AR Ghasemi1, F TaheriBehrooz2, SMN Farahani1 and M Mohandes1 In this paper, the free vibration of an orthotropic beam undergoing finite strain are studied. The second PiolaKirchhoff stress tensor and GreenLagrange strain tensor according to finite strain assumption were used to obtain EulerBernoulli beam governing equations. The Galerkin method and Generalized Differential Quadrature method were employed for solving the governing equations and boundary condition. The effect of beam thickness and different boundary conditions were considered in finite strain formulation of the beam equations. Natural frequencies of different composite materials are obtained and compared. The results revealed that by increasing the beams thickness, the difference between maximum vibration amplitude increased between von Karman and finite strain formulations. Also, in a beam with simplysimply supports, differences between linear and non linear mode shapes was remarkable.