Journal ArticleDOI
Computerized symbolic manipulation in structural mechanics—Progress and potential
Ahmed K. Noor,C. M. Andersen +1 more
TLDR
In this paper, a number of problem areas which limit the realization of the full potential of computerized symbolic manipulation in structural mechanics are examined and some of the means of alleviating them are discussed.About:
This article is published in Computers & Structures.The article was published on 1979-04-01. It has received 85 citations till now. The article focuses on the topics: Symbolic programming & Structural mechanics.read more
Citations
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Journal ArticleDOI
Reduced Basis Technique for Nonlinear Analysis of Structures
Ahmed K. Noor,Jeanne M. Peters +1 more
TL;DR: In this paper, a reduced basis technique and a computational algorithm are presented for predicting the nonlinear static response of structures, where a total Lagrangian formulation is used and the structure is discretized by using displacement finite element models.
Journal ArticleDOI
Continuum Models for Beam- and Platelike Lattice Structures
TL;DR: In this paper, a simple, rational approach is presented for developing continuum models for large repetitive beam and plate-like lattices with arbitrary configurations subjected to static, thermal, and dynamic loadings.
Journal ArticleDOI
Modeling and Simulation of Multiphysics Systems
TL;DR: A survey on the evolution of modeling and simulation (M&S) technologies related to multiphysics systems is presented and a retrospective of general procedures for developing multifield and multidomain formulations is elucidated.
Journal ArticleDOI
FINGER: A Symbolic System for Automatic Generation of Numerical Programs in Finite Element Analysis
TL;DR: FINGER is a LISP-based system to derive formulas needed in finite element analysis, and to generate FORTRAN code from these formulas, which aims to replace tedious hand computations that are time consuming and error prone.
Journal ArticleDOI
Buckling of Variable Cross‐Section Columns: Integral‐Equation Approach
F. Arbabi,F. Li +1 more
TL;DR: In this paper, a semianalytical procedure for axial buckling of elastic columns with step-varying profiles is presented, which can be applied to any continuous or discontinuous profile regardless of the number of steps.
References
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Book
The finite element method in engineering science
TL;DR: In this paper, the authors describe how people search numerous times for their favorite books like this the finite element method in engineering science, but end up in malicious downloads, and instead they cope with some infectious bugs inside their computer.
Journal ArticleDOI
Rates of change of eigenvalues and eigenvectors.
R. L. Fox,M. P. Kapoor +1 more
TL;DR: Exact expressions for rates of change of eigenvalues and eigenvector to facilitate computerized design of complex structures are presented.
Journal ArticleDOI
Reduction of the symmetric eigenproblemAx=λBx and related problems to standard form
TL;DR: Each of the eigenproblems Ax and A B x = λ x can be reduced to the standard symmetric eigenproblem by making use of the Cholesky factorization of B.
Journal ArticleDOI
Nonlinear shell analysis via mixed isoparametric elements
Ahmed K. Noor,Stephen J. Hartley +1 more
TL;DR: Mixed isoparametric elements for the geometrically nonlinear analysis of laminated composite shells are presented in this paper, based on a form of the nonlinear shallow shell theory with the effects of shear deformation, material anisotropy and bending-extensional coupling included.
Journal ArticleDOI
Analysis of beam-like lattice trusses
Ahmed K. Noor,C. M. Andersen +1 more
TL;DR: In this article, a simple procedure is presented for predicting the thermoelastic and free vibration responses of large repetitive beam-like trusses based on replacing the original lattice structure by an equivalent beam model and obtaining closed-form (exact) solutions for the beam model.
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Computerized symbolic manipulation in nonlinear finite element analysis
Ahmed K. Noor,C. M. Andersen +1 more