Journal ArticleDOI
Discrete optimization of trusses with stability constraints
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In this article, the authors deal with discrete optimization of elastic trusses with geometric nonlinear behavior and constraints on stability by minimizing the weight of the structure and choosing the optimal cross-sectional areas of members so that external loads do not cause a loss of stability.Abstract:
The paper deals with discrete optimization of elastic trusses with geometric nonlinear behaviour and constraints on stability. The problem consists of minimizing the weight of the structure and choosing the optimal cross-sectional areas of members so that external loads do not cause a loss of stability. Member cross-sections are selected from a discrete set of available sections. Element stresses, element stability and global structural stability constraints are considered. An enumeration method according to the increasing value of the objective function is applied. The numerical examples concern the optimization of shallow truss structures when snap-through can occur. The discrete optimal solutions have been compared with the results of continuous design variables optimization. The influence of small initial imperfections of geometry on discrete optimal designs has been examined.read more
Citations
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Journal ArticleDOI
Steady-state genetic algorithms for discrete optimization of trusses
Shyue-Jian Wu,Pei-Tse Chow +1 more
TL;DR: In this article, a two-stage mapping process is constructed by the mapping relationships between unsigned decimal integers and discrete values, which can significantly reduce the computational effort and promote the computational efficiency.
Journal ArticleDOI
Integrated discrete and configuration optimization of trusses using genetic algorithms
Shyue-Jian Wu,Pei-Tse Chow +1 more
TL;DR: The application of genetic algorithms to integrated discrete and configuration optimization of trusses is presented, mathematically formulated as a constrained nonlinear optimization problem with a mix of discrete sizing and continuous configuration variables.
Journal Article
On Discrete Structural Optimization
TL;DR: The application of discrete programming to structural optimization permits the use of tabulated section properties and eliminates the need for approximate relations, such as between weight and section modulus, which may obscure the optimal solution.
Journal ArticleDOI
Optimum design with imperfection sensitivity coefficients for limit point loads
TL;DR: In this paper, a computational method is presented for finding a sequence of optimum designs of a discrete system which exhibits limit point behavior. But the method is not suitable for large structures, because incremental nonlinear analysis to find the limit point load factor needs to be carried out only once for the structure of trivial initial optimum design.
Journal ArticleDOI
Engineering optimization using a real-parameter genetic-algorithm-based hybrid method
S. F. Hwang,R. S. He +1 more
TL;DR: A hybrid optimization algorithm which combines the respective merits of the genetic algorithm and the simulated annealing algorithm and incorporates adaptive mechanisms designed to adjust the probabilities of the cross-over and mutation operators such that its hill-climbing ability towards the optimum solution is improved.
References
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Book
Elastic instability phenomena
TL;DR: In this article, the stability of engineering structures and components under conservative and non-conservative loading is analyzed from the viewpoint of catastrophe phenomena. But the authors focus on the stability under gravity loading.
Journal ArticleDOI
Discrete-continuous variable structural synthesis using dual methods
Lucien A. Schmit,Claude Fleury +1 more
TL;DR: A newly devised gradient projection type of algorithm called DUAL 1, which includes special features for handling dual function gradient discontinuities that arise from the discrete primal variables, is used to find the solution of each dual problem.
Journal ArticleDOI
Minimum weight design of truss structures with geometric nonlinear behavior
N. S. Khot,M. P. Kamat +1 more
TL;DR: In this article, an optimization method based on optimality criterion for minimum weight design of truss type structures with geometric nonlinear behavior has been presented, where the nonlinear critical load is determined by finding the load level at which the Hessian of the potential energy ceases to be positive definite.
Journal ArticleDOI
Optimum Design Using Available Sections
TL;DR: In this paper, the authors derive optimal structural design methods which do not depend on theoretical weight strength functions, but instead work directly with the available discrete sections of a rigid-plastic model.
Journal ArticleDOI
Nonlinear analysis of optimized structure with constraints on systemstability
TL;DR: In this article, an optimization algorithm based on an optimality criterion was used to design a minimum weight space truss with different constraint requirements on system stability, and the results obtained for various designs were compared for their imperfection sensitivity.