A Study of Mathematical Programming Methods for Structural Optimization
@inproceedings{Belegundu1985ASO, title={A Study of Mathematical Programming Methods for Structural Optimization}, author={Ashok D. Belegundu}, year={1985}, url={https://api.semanticscholar.org/CorpusID:59878906} }
The aim of this paper is to discuss the applicability of modern optimization techniques to structural design problems, and to present mathematical programming methods from a unified and design engineers' viewpoint.
516 Citations
A study of mathematical programmingmethods for structural optimization. Part II: Numerical results
- 1985
Engineering, Mathematics
It turns out that globally convergent algorithms (multiplier methods, in particular) are very reliable but not efficient, and Primal algorithms (like CONMIN), which are not proved to be globally Convergent, are efficient but not reliable.
New Approximation Method for Structural Optimization
- 2012
Engineering
A new method, called Consistent Approximation (CONAP), was developed to explicitly formulate constraints and objective functions based on an efficient approximation concept to increase the method’s flexibility and consistency in various optimization problems.
Development of a multiplier method for dynamic response optimization problems
- 1993
Engineering
A better understanding of the multiplier method has been achieved, and the effect of various parameters and procedures of the algorithm is better understood.
Numerical comparison of nonlinear programming algorithms for structural optimization
- 1994
Engineering
The purpose of the paper is to present the numerical results of a comparative study of eleven mathematical programming codes which represent typical realizations of the mathematical methods mentioned in the structural optimization system MBB-LAGRANGE, which proceeds from a typical finite element analysis.
Computational design optimization: A review and future directions
- 1990
Engineering, Computer Science
Global optimization of nonlinear fractional programming problems in engineering design
- 2005
Engineering
This study proposes a novel method to solve nonlinear fractional programming (NFP) problems occurring frequently in engineering design and management. Fractional terms composed of signomial functions…
Solving structural engineering design optimization problems using an artificial bee colony algorithm
- 2013
Engineering, Computer Science
A penalty guided artificial bee colony (ABC) algorithm is presented to search the optimal solution of the problem in the feasible region of the entire search space and results indicate that the proposed approach may yield better solutions to engineering problems than those obtained using current algorithms.
STROPT - THE STRUCTURAL OPTIMIZATION SYSTEM
- 1988
Engineering, Computer Science
The paper presents problem formulation, methods of design sensitivity analysis, program architecture, capabilities, and useful features of STROPT, the structural optimization system, and optimum designs of small and large scale structures comprising of beam, shell, laminated composite and other types of finite element.
A review on developing optimization techniques in civil engineering
- 2023
Engineering
This paper provided detailed knowledge of optimization, several approaches and their applications in civil engineering, i.e. structural, geotechnical, hydraulic, transportation and many more, where the lack of exploratory studies is to be approached soon.
Multiplier methods for engineering optimization
- 1991
Engineering
The theory and computational procedures of the multiplier methods used to solve the constrained engineering optimization problem are reviewed so that more efficient and effective ones can be developed for engineering applications.
36 References
Application of a Reduced Quadratic Programming Technique to Optimal Structural Design
- 1981
Engineering
Abstract : A recently developed optimization technique of great practical potential will be presented. The technique is based on two developments. First, it utilizes a successive Quadratic…
Computational efficiency of non‐linear programming methods on a class of structural problems
- 1977
Engineering, Computer Science
Results are presented of an investigation as to the computational efficiency of several non-linear programming algorithms on the constrained structural weight optimization of plane trusses and plane…
A recursive quadratic programming method with active set strategy for optimal design
- 1984
Engineering, Mathematics
The algorithm of Pshenichny had been undiscovered until now, and is examined here for the first time, and it is found that the proof of global convergence by Han requires computing sensitivity coefficients (derivatives) of all constraint functions of the problem at every iteration, which is prohibitively expensive for large-scale applications in optimal design.
A cubic extended interior penalty function for structural optimization
- 1979
Engineering
This paper describes an optimization procedure for the minimum weight design of complex structures. The procedure is based on a new cubic extended interior penalty function (CEIPF) used with the…
Comparison of some penalty function based optimization procedures for the synthesis of a planar truss
- 1973
Engineering
The present investigation examines the multibar truss optimization problem in the context of a general class of unconstrained optimization procedures in conjunction with various types of penalty…
COMPUTATIONAL EFFICIENCY IN STRUCTURAL OPTIMIZATION
- 1975
Engineering, Computer Science
This paper investigates the computational efficiency of unrestrained minimization algorithms, using a sequential unrestrained optimization technique, and conclusions are made concerning the efficiency of the finite difference formulae and of the optimization algorithms considered.
A Nonlinear Programming Technique for the Optimization of Continuous Processing Systems
- 1961
Computer Science, Mathematics
A numerical example, a model construction example, and a description of a particular existing computer system are included in order to clarify the mode of operation of the method.
THE CONVERGENCE OF VARIABLE METRIC METHODS FOR NONLINEARLY CONSTRAINED OPTIMIZATION CALCULATIONS
- 1978
Mathematics
An Ideal Penalty Function for Constrained Optimization
- 1975
Mathematics
This chapter presents an ideal penalty function for constrained optimization. The penalty function is used in the usual way, that is, for any given value of the parameters , S , a vector , ( S ) is…
On implementation of the extended interior penalty function. [optimum structural design]
- 1976
Engineering
The extended interior penalty function formulation is implemented. A rational method for determining the transition between the interior and extended parts is set forth. The formulation includes a…