Static and dynamic analysis of an FGM doubly curved panel resting on the Pasternak-type elastic foundation

2012 ◽  
Vol 94 (8) ◽  
pp. 2474-2484 ◽  
Author(s):  
Y. Kiani ◽  
A.H. Akbarzadeh ◽  
Z.T. Chen ◽  
M.R. Eslami
Keyword(s):  
Dynamic Analysis ◽  
Elastic Foundation ◽  
Static And Dynamic Analysis ◽  
Curved Panel ◽  
Doubly Curved

LARGE DEFLECTION STATIC AND DYNAMIC ANALYSIS OF THIN CIRCULAR PLATES RESTING ON TWO-PARAMETER ELASTIC FOUNDATION: HDQ/FD COUPLED METHODOLOGY APPROACHES

2005 ◽  
Vol 02 (02) ◽  
pp. 271-291 ◽  
Author(s):  
ÖMER CİVALEK
Keyword(s):  
Dynamic Analysis ◽  
Elastic Foundation ◽  
Large Deflection ◽  
Plate Theory ◽  
Differential Quadrature Method ◽  
Geometrically Nonlinear ◽  
Circular Plates ◽  
Geometrically Nonlinear Analysis ◽  
Static And Dynamic Analysis ◽  
Two Parameter

An analysis of the geometrically nonlinear dynamics of thin circular plates on a two parameter elastic foundation is presented in this paper. The nonlinear partial differential equations obtained from von Karman's large deflection plate theory have been solved by using the harmonic differential quadrature method in the space domain and the finite difference numerical integration method in the time domain. Winkler-Pasternak foundation model is considered and the influence of stiffness of Winkler (K) and Pasternak (G) foundation on the geometrically nonlinear analysis of the circular plates has been investigated. Numerical examples demonstrate the satisfactory accuracy, efficiency and versatility of the presented approach. From the numerical computation, it can be concluded that the present coupled methodology is an efficient method for the nonlinear static and dynamic analysis of circular plates with or without an elastic medium.

scholarly journals Static and dynamic analysis of homogeneous Micropolar-Cosserat panels

2021 ◽  
pp. 1-53
Author(s):  
S. K. Singh ◽  
A. Banerjee ◽  
R. K. Varma ◽  
S. Adhikari ◽  
S. Das
Keyword(s):  
Dynamic Analysis ◽  
Static And Dynamic Analysis

A New Approach to the Rigid Finite Element Method in Modeling Spatial Slender Systems

2018 ◽  
Vol 18 (02) ◽  
pp. 1850017 ◽  
Author(s):  
Iwona Adamiec-Wójcik ◽  
Łukasz Drąg ◽  
Stanisław Wojciech
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Dynamic Analysis ◽  
Equations Of Motion ◽  
Nonlinear Dynamic Analysis ◽  
New Approach ◽  
Static And Dynamic Analysis ◽  
Rigid Finite Element Method ◽  
Longitudinal Flexibility ◽  
Element Method

The static and dynamic analysis of slender systems, which in this paper comprise lines and flexible links of manipulators, requires large deformations to be taken into consideration. This paper presents a modification of the rigid finite element method which enables modeling of such systems to include bending, torsional and longitudinal flexibility. In the formulation used, the elements into which the link is divided have seven DOFs. These describe the position of a chosen point, the extension of the element, and its orientation by means of the Euler angles Z[Formula: see text]Y[Formula: see text]X[Formula: see text]. Elements are connected by means of geometrical constraint equations. A compact algorithm for formulating and integrating the equations of motion is given. Models and programs are verified by comparing the results to those obtained by analytical solution and those from the finite element method. Finally, they are used to solve a benchmark problem encountered in nonlinear dynamic analysis of multibody systems.

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