A compiler for generating the global stiffness matrix for symbolically-defined regular finite element analysis grids

2000 ◽  
Vol 76 (4) ◽  
pp. 461-469
Author(s):  
Myo Kyaw ◽  
Richard Caplan ◽  
David Mogdans ◽  
Laurence L Leff
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Stiffness Matrix ◽  
Element Analysis ◽  
Global Stiffness Matrix

Incorporation of Spinal Flexibility Measurements Into Finite Element Analysis

1990 ◽  
Vol 112 (4) ◽  
pp. 481-483 ◽  
Author(s):  
Mack G. Gardner-Morse ◽  
Jeffrey P. Laible ◽  
Ian A. F. Stokes
Keyword(s):  
Experimental Data ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Stiffness Matrix ◽  
Beam Element ◽  
Technical Note ◽  
Element Analysis ◽  
Spinal Motion ◽  
Spinal Flexibility

This technical note demonstrates two methods of incorporating the experimental stiffness of spinal motion segments into a finite element analysis of the spine. The first method is to incorporate the experimental data directly as a stiffness matrix. The second method approximates the experimental data as a beam element.

A Software of Pre-Buckling Analysis of Laminated Plates and Shells Based on Stiffness Matrix Determinant

2013 ◽  
Vol 712-715 ◽  
pp. 1075-1079
Author(s):  
Zai Ling Cheng ◽  
Cheng Shuang Han ◽  
Hong Mei Zhang
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Stiffness Matrix ◽  
Composite Plates ◽  
Computational Procedure ◽  
Laminated Plates ◽  
Computational Time ◽  
Analysis Model ◽  
Element Analysis ◽  
Plates And Shells

The development of computer technology has provided advanced methods for the analysis of complex mechanics problems. Along with the enhancement of computer speed, the computational time used in a finite element analysis is reduced significantly. The main work in a pre-bucking finite element analysis will concentrate on structuring the analytical model and the software model. A normalized factor of the normalized determinant DET of stiffness matrix is defined in this article.The finite element analysis model used in the pre-bucking analysis of laminated composite plates and shells is presented based on the characteristic of the DET. An algorithm for controlling computational procedure and determining critical load is also presented. Numerical examples are given to validate the proposed method and satisfactory results are obtained.

Approximate Explicit Calculation of First Vibration Frequencies of an Unsymmetrical High Speed Rotor

2003 ◽  
Author(s):  
J. F. Antoine ◽  
G. Abba ◽  
C. Sauvey
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Dynamic Behavior ◽  
Stiffness Matrix ◽  
High Speed ◽  
Explicit Calculation ◽  
Beam Model ◽  
Element Analysis ◽  
Switched Reluctance ◽  
Reluctance Motor

In order to easily predict and optimize the dynamic behavior of a high speed switched reluctance motor, a full analytic model, that gives directly and quickly the three first eigenfrequencies of the rotor, is proposed. The rotor is modelled as a 3 DOF Timoshenko’s beam model. The stiffness matrix is calculated with the Castigliano’s second theorem in structural analysis, which allows to obtain explicitly the eigenfrequencies expression and prevents to use classical finite element analysis. The influence of design and material modifications is studied and the dynamic behavior quickly predicted. The calculation time needed for testing a geometry is strongly smaller than with a finite element analysis.

Evaluation of stiffness matrix in finite element analysis using element edge method for the 8-node brick element

2019 ◽  
Vol 08 (04) ◽  
pp. 1950018
Author(s):  
Shyjo Johnson ◽  
T. Jeyapoovan
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Stiffness Matrix ◽  
Integration Method ◽  
Large Data ◽  
Computational Time ◽  
Element Analysis ◽  
Sampling Points ◽  
Brick Element ◽  
Edge Method

An element edge method is developed for the evaluation of stiffness matrix for the 8-node brick element. Handling of large data leads to take more computational time in finite element analysis. The new set of quadrature consist of 13 sampling points and weights out which 12 points are at the edges of the brick element and one point is considered at the center of the element. The new set of sampling points is a mimic of Gauss numerical integration method. Finally, the proposed element edge method is evaluated using the standard benchmarked problems and compared the results with conventional Gauss integration method and found that CPU execution time for the evaluation of finite element problems are found to be reduced considerably without compromising in the results mainly consist of accuracy of values and convergence rate.

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