Quadrilateral membrane finite elements with rotational DOFs for the analysis of geometrically linear and nonlinear plane problems

2016 ◽  
Vol 173 ◽  
pp. 139-149 ◽  
Author(s):  
Wajdi Zouari ◽  
Fodil Hammadi ◽  
Rezak Ayad
Keyword(s):  
Finite Elements ◽  
Nonlinear Plane ◽  
Linear And Nonlinear

Nonlinear Transient Response and its Sensitivity Using Finite Elements in Time

1995 ◽  
Author(s):  
Rakesh K. Kapania ◽  
Sungho Park
Keyword(s):  
Finite Elements ◽  
Transient Response ◽  
Legendre Polynomials ◽  
Design Parameters ◽  
Algebraic Equations ◽  
System Parameters ◽  
Nonlinear Transient ◽  
Linear And Nonlinear ◽  
Bilinear Formulation ◽  
The One

Abstract The bilinear formulation proposed earlier by Peters and Izadpanah to develop finite elements in time to solve undamped linear systems, is extended (and found to be readily amenable) to develop time finite elements to obtain transient responses of both linear and nonlinear, and damped and undamped systems. The formulation is used in the h-, p- and hp-versions. The resulting linear and nonlinear algebraic equations are differentiated to obtain the sensitivity of the transient response with respect to various design parameters. The present developments were tested on a series of linear and nonlinear examples and were found to yield, when compared with results obtained using other methods, excellent results for both the transient response and its sensitivity to system parameters. Mostly, the results were obtained using the Legendre polynomials as basis functions, though, in some cases other orthogonal polynomials namely, the Hermite, the Chebyshev, and integrated Legendre polynomials were also employed (but to no great advantage). A key advantage of the time finite element method, and the one often overlooked in its past applications, is the ease in which the sensitivity of the transient response with respect to various system parameters can be obtained.

scholarly journals Linear and nonlinear dynamical analysis of a Crane model

2020 ◽  
Vol 15 (2) ◽  
pp. 82-93
Author(s):  
Hmoumen Maourane ◽  
Tamás Szabó
Keyword(s):  
Finite Elements ◽  
Degrees Of Freedom ◽  
Linear Models ◽  
Dynamical Analysis ◽  
Lagrangian Description ◽  
Nonlinear Dynamical ◽  
The Best Approximation ◽  
Nonlinear Dynamical Analysis ◽  
Linear And Nonlinear ◽  
Updated Lagrangian

Abstract:This paper deals with the dynamical analysis of a crane model. Truss finite elements are used to discretize the suspending chains with the so called updated Lagrangian description. This nonlinear model is regarded to be the best approximation to which linear models are compared. The inertia and independent degrees of freedom are also taken into consideration by linear models. The goal is to find a linear model, which can be used as an observer in antisway control of a crane.

Coupling of mixed finite elements and boundary elements for linear and nonlinear elliptic problems

1996 ◽  
Vol 63 (1-2) ◽  
pp. 39-75 ◽  
Author(s):  
Gabriel N. Gatica ◽  
Gabriel N. Gatica ◽  
Wolfgang L. Wendland ◽  
Wolfgang L. Wendland
Keyword(s):  
Finite Elements ◽  
Elliptic Problems ◽  
Mixed Finite Elements ◽  
Boundary Elements ◽  
Nonlinear Elliptic Problems ◽  
Nonlinear Elliptic ◽  
Linear And Nonlinear

Finite Elements in Aeroelasticity of Plates and Shells

1996 ◽  
Vol 49 (10S) ◽  
pp. S17-S24 ◽  
Author(s):  
Maher N. Bismarck-Nasr
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Elements ◽  
Future Trends ◽  
The Finite Element Method ◽  
Aeroelastic Stability ◽  
Flat Plates ◽  
Plates And Shells ◽  
Linear And Nonlinear ◽  
Element Method

A review of the finite element method applied to the problem of supersonic aeroelastic stability of nonlinear flat plates, linear, and nonlinear curved plates is presented. Some new contributions in the field are given and future trends are discussed.

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