Journal ArticleDOI
Discrete optimization of geometrically nonlinear truss structures under stability constraints
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In this article, the authors deal with discrete optimization of elastic trusses with geometrical nonlinear behavior and constraints on stability and find the optimal member distribution so that the external load does not cause a loss of stability of the structure.Abstract:
The paper deals with discrete optimization of elastic trusses with geometrical nonlinear behaviour and constraints on stability. The problem consists of minimizing the weight and determining the optimal member distribution so that the external load does not cause a loss of stability of the structure. Member cross-sections are selected from a catalogue of available sections. Element stresses, elment stability and global structural stability constraints are considered. A controlled enumeration method according to the increasing value of the objective function is applied. Shallow space trusses are numerically analysed.read more
Citations
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Journal ArticleDOI
Methods for optimization of nonlinear problems with discrete variables : a review
TL;DR: The methods for discrete-integer-continuous variable nonlinear optimization are classified into six categories: branch and bound, simulated annealing, sequential linearization, penalty functions, Lagrangian relaxation, and other methods as mentioned in this paper.
Journal ArticleDOI
Truss optimization with discrete design variables: a critical review
TL;DR: This review presents developed models, theory, and numerical methods for structural optimization of trusses with discrete design variables in the period 1968 – 2014 and collects, for the first time, the articles in the field presenting deterministic optimization methods and meta heuristics.
Journal ArticleDOI
Modeling of global and local stability in optimization of truss-like structures using frame elements
TL;DR: In this paper, an approach to take into account global and local stability in the design optimization of truss-like structures is presented, based on the use of frame elements and a single global stability constraint.
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
Guided genetic algorithm for dome optimization against instability with discrete variables
Mingfei Lu,Jihong Ye +1 more
TL;DR: In this paper, the relative gradient of joint well-formedness (Gra_r) is defined to represent the stability of domes from the perspective of Joint Wellformedness, which is suitable for a high-performance optimum algorithm.
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
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
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.
Journal ArticleDOI
Optimization of Shallow Trusses Against Limit Point Instability
TL;DR: In this article, a detailed investigation of the question of the uniqueness of the optimum designs for two-and four-bar shallow truss problems is carried out, and the optimized trusses satisfy the constant-strain energy density criteria and the load maximization problem is verified to be the dual of the minimization of the total potential energy.
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