Large Displacement, Nonlinear Transient Analysis by Finite Elements

1974 ◽  
Author(s):  
T. Belytschko ◽  
R. E. Welch ◽  
R. W. Bruce
Keyword(s):  
Finite Elements ◽  
Transient Analysis ◽  
Large Displacement ◽  
Nonlinear Transient ◽  
Nonlinear Transient Analysis

Comparison Between Linear and Nonlinear Transient Analysis Techniques to Find the Stability of a Rigid Rotor

1999 ◽  
Vol 121 (1) ◽  
pp. 198-201 ◽  
Author(s):  
Ram Turaga ◽  
A. S. Sekhar ◽  
B. C. Majumdar
Keyword(s):  
Transient Analysis ◽  
Stability Limit ◽  
Journal Bearings ◽  
Quantitative Comparison ◽  
Rigid Rotor ◽  
Analysis Techniques ◽  
Analysis Technique ◽  
Nonlinear Transient ◽  
Nonlinear Transient Analysis ◽  
The Stability

The subsynchronous whirl stability limit of a rigid rotor supported on two symmetrical finite journal bearings has been studied using the linearised perturbation method and the nonlinear transient analysis technique. A quantitative comparison for journal bearings with different l/d ratios has been provided.

Nonlinear transient analysis of moderately thick rectangular composite plates

2010 ◽  
Vol 114 (1157) ◽  
pp. 437-444
Author(s):  
H. Tanriöver ◽  
E. Şenoca
Keyword(s):  
Transient Analysis ◽  
Solution Process ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Composite Plates ◽  
Laminated Composite Plates ◽  
Element Analysis ◽  
Geometrically Nonlinear Analysis ◽  
Nonlinear Transient ◽  
Nonlinear Transient Analysis

Abstract This paper presents an analytical-numerical methodology for the geometrically nonlinear analysis of laminated composite plates under dynamic loading. The methodology employs Galerkin technique, in which suitable polynomials are chosen as trial functions. In the solution process, Newmark’s scheme for time integration, and modified Newton-Raphson method for the solution of resulting nonlinear equations are used. In the formulation, first order shear deformation theory based on Mindlin’s hypothesis and von Kármán type geometric nonlinearity are considered. The results are compared to that of finite strips, and Chebyshev series published elsewhere. The method is found to determine closely both the displacements and the stresses. A finite element analysis has also been carried out for the validation of the results. The present method can be efficiently and easily applied for the nonlinear transient analysis of laminated composite plates with various boundary conditions.

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