- Fuzzy Optimization of Geometrical Nonlinear Space Truss Design
- O. Kelesoglu ; M. Ulker
- Turkish J. Eng. Env. Sci. 29 (2005) , pp. 321 – 329. Tubikat
- Book Title / Journal:
- Year: 2005 , Volume: , Series:
- Structural Analysis
PDF |
- A New Approach for Optimum Design of Structures Under Dynamic Exciation
- H. Moghaddam ; I. Hajirasouliha
- Asian Journal of Civil Engineering (Building and Housing) Vol. 5, Nos. 1?2, pages 69-84
- Book Title / Journal:
- Year: 2004 , Volume: , Series:
- Structural Analysis
PDF |
- Laboratory simulation of blast loading on building and bridge structures
- M.M. Gram ; A.J. Clark ; G.A. Hegemier ; F. Seible
- Structures under Shock and Impact IX. WIT Transactions on The Build Environment, Vol 87, WIT Press
- Book Title / Journal:
- Year: 2004 , Volume: , Series:
- Structural Analysis
PDF |
- A shell problem ‘highly sensitive’ to thickness changes
- K.J. Bathe ; D. Chapelle ; P.S. Lee
- Book Title / Journal: International Journal for Numerical Methods in Engineering
- Year: 2003 , Volume: 57 , Series:
- Structural Analysis
- Keywords: shells ; asymptotic analysis ; finite element solution
- Description
- In general, shell structural problems can be identied to fall into one of the categories of membrane-dominated, bending-dominated and mixed shell problems. The asymptotic behaviour with a well-defined load-scaling factor shows distinctly into which category a given shell problem falls. The objective of this paper is to present a shell problem and its solution for which there is no convergence to a well-dened load-scaling factor as the thickness of the shell decreases. Such shells are unduly sensitive in their behaviour because the ratio of membrane to bending energy stored changes signicantly and indeed can uctuate with changes in shell thickness. We briefly review the dierent asymptotic behaviours that shell problems can display, and then present the specic problem considered and its numerical solution using nite element analysis.
PDF |
- Measuring convergence of mixed finite element discretizations: an application to shell structures
- J.F. Hiller ; K.J. Bathe
- Book Title / Journal: Computers and Structures
- Year: 2003 , Volume: 81 , Series:
- Structural Analysis
- Keywords: Finite elements ; shell structures
- Description
- We consider the problem of assessing the convergence of mixed-formulated finite elements. When displacementbased formulations are considered, convergence measures of finite element solutions to the exact solution of the mathematical problem are well known. However when mixed formulations are considered, there is no well-established method to measure the convergence of the finite element solution. We first review a number of approaches that have been employed and discuss their limitations. After having stated the properties that an ideal error measure would possess, we introduce a new physics-based procedure. The new proposed error measure can be used for many different types of mixed formulations and physical problems. We illustrate its use in an assessment of the performance of the MITC family of shell elements.
PDF |
- Towards improving the MITC9 shell element
- K.J. Bathe ; P.S. Lee ; J.F. Hiller
- Book Title / Journal: Computers and Structures
- Year: 2003 , Volume: 81 , Series:
- Structural Analysis
- Keywords: Shell elements ; MITC9
- Description
- The objective in this paper is to present some results regarding the predictive capabilities of the MITC9 shell element when the tying points in the element are changed. The MITC9 element is a general nine-node shell element based on the formulation approach of using mixed-interpolated tensorial components. Different tying points are very simple to implement and are not decreasing the computational efficiency of the element. Hence, the use of the ‘‘best’’ tying points is clearly of value.
PDF |
- An evaluation of the Lyapunov characteristic exponent of chaotic continuous systems
- S. Rugonyi ; K.J. Bathe
- Book Title / Journal: International Journal for Numerical Methods in Engineering
- Year: 2003 , Volume: 56 , Series:
- Structural Analysis
- Keywords: stability analysis ; Lyapunov characteristic exponent ; non-linear dynamics ; dynamic stability
- Description
- A procedure to calculate the Lyapunov characteristic exponent of the response of structural continuous systems, discretized using nite element methods, is proposed. The Lyapunov characteristic exponent can be used to characterize the asymptotic stability of the system dynamic response, and it is frequently employed to identify a chaotic behaviour. The proposed procedure can also be used in the stability characterization of uid–structure interaction systems in which the focus of the analysis is on the behaviour of the structural part.
- Abstract
PDF |
- Numerical Modeling of Single Shell Roofs
- K. Palacio ; P.B. Lourenco ; J.A.O. Barros
- Report 03-DEC/E-21. Universidade do Minho
- Book Title / Journal:
- Year: 2003 , Volume: , Series:
- Structural Analysis
PDF |
- Implementation of a Constitutive Model for Masonry Shells as a Stand-Alone Subroutine
- P.B. Lourenco ; K. Palacio ; F. Prieto
- Report 02-DEC/E-13, Universidade do Minho
- Book Title / Journal:
- Year: 2002 , Volume: , Series:
- Structural Analysis
PDF |
- On the asymptotic behavior of shell structures and the evaluation in finite element solutions
- P.S. Lee ; K.J. Bathe
- Book Title / Journal: Computers and Structures
- Year: 2002 , Volume: 80 , Series:
- Structural Analysis
- Keywords: shells ; Asymptotic behaviors ; Finite element solutions
- Description
- The objective of this paper is to demonstrate how the asymptotic behavior of a shell structure, as the thickness (t) approaches zero, can be evaluated numerically. We consider three representative shell structural problems; the original Scordelis–Lo roof shell problem, a herein proposed modified Scordelis–Lo roof shell problem and the partly clamped hyperbolic paraboloid shell problem. The asymptotic behavior gives important insight into the shell load bearing capacity. The behavior should also be known when a shell problem is used to test a shell finite element procedure. We briefly review the fundamental theory of the asymptotic behavior of shells, develop our numerical schemes and perform
the numerical experiments with the MITC4 shell finite element.
PDF |
- The Method of Finite Spheres with Improved Numerical Integration
- S. De ; K.J. Bathe
- Book Title / Journal: Computers and Structures
- Year: 2001 , Volume: 79 , Series:
- Structural Analysis
- Keywords: finite spheres ; Meshless methods
- Description
- The method of finite spheres was introduced as a truly meshless technique with the goal of achieving computational efficiency in a mesh-free procedure. In this paper several new numerical integration rules are reported that result in a significant reduction in computational cost.
PDF |
- Discontinuous Galerkin Methods for Nonlinear Elasticity
- E.A. Ten ; A. Lew
- Book Title / Journal: International Journal for Numerical Methods in Engineering
- Year: 2000 , Volume: , Series:
- Structural Analysis
- Keywords: Nonlinear elasticity ; discontinuous Galerkin
PDF |
- The mathematical shell model underlying general shell elements
- D. Chapelle ; K.J. Bathe
- Book Title / Journal: International Journal for Numerical Methods in Engineering
- Year: 2000 , Volume: , Series:
- Structural Analysis
- Keywords: shell model ; finite element discretization ; degenerated solid
PDF |
- Exact energy and momentum conserving algorithms for general models in nonlinear elasticity
- O. Gonzalez
- Book Title / Journal: Computer Methods in Applied Mechanics and Engineering
- Year: 2000 , Volume: 190 , Series:
- Structural Analysis
- Keywords: Numerical integration ; Nonlinear elastodynamics ; Incompressible elasticity
PDF |
- Optimal design of planar and space structures with genetic algorithms
- I. Tutuncu ; H. Kilic ; F. Erbatur ; H. Hasancebi
- Computers and Structures 75 (2000) 209-224. Elsevier Science Ltd
- Book Title / Journal:
- Year: 2000 , Volume: , Series:
- Structural Analysis
PDF |
