Large Scale Structural Optimization With Linear Goal Programming

1990 ◽  
Author(s):  
Mohamed E. M. El-Sayed ◽  
T. S. Jang
Keyword(s):  
Structural Optimization ◽  
Goal Programming ◽  
Large Scale ◽  
Optimization Problem ◽  
Optimization Problems ◽  
Minimum Weight ◽  
Design Tool ◽  
Linear Goal Programming ◽  
Programming Techniques ◽  
Structural Optimization Problem

Abstract This paper presents a method for solving large scale structural optimization problems using linear goal programming techniques. The method can be used as a multicriteria optimization tool since goal programming removes the difficulty of having to define an objective function and constraints. It also has the capacity of handling rank ordered design objectives or goals. The method uses finite element analysis, linear goal programming techniques and successive linearization to obtain the solution for the nonlinear goal optimization problems. The general formulation of the structural optimization problem into a nonlinear goal programming form is presented. The successive linearization method for the nonlinear goal optimization problem is discussed. To demonstrate the validity of the method, as a design tool, the solution of the minimum weight structural optimization problem with stress constraints for 10, 25 and 200 truss problems are included.

Structural Optimization With Nonlinear Goal Programming Using Powell’s Method

1991 ◽  
Author(s):  
Mohamed E. M. El-Sayed ◽  
T. S. Jang
Keyword(s):  
Structural Optimization ◽  
Goal Programming ◽  
Optimization Problem ◽  
Optimization Problems ◽  
Search Algorithm ◽  
Numerical Test ◽  
Design Tool ◽  
Test Cases ◽  
Programming Techniques ◽  
Ordered Design

Abstract This paper presents a method for solving structural optimization problems using nonlinear goal programming techniques. The developed method removes the difficulty of having to define an objective function and constraints. It also has the capacity of handling rank ordered design objectives or goals. The formulation of the structural optimization problem into a goal programming form is discussed. The resulting optimization problem is solved using Powell’s conjugate direction search algorithm. To demonstrate the effectiveness of the method, as a design tool, the solutions of some numerical test cases are included.

OPTIMUM DESIGN OF SPACE FRAMES UNDER SEISMIC LOADING

2001 ◽  
Vol 01 (01) ◽  
pp. 105-123 ◽  
Author(s):  
MANOLIS PAPADRAKAKIS ◽  
NIKOS D. LAGAROS ◽  
VAGELIS PLEVRIS
Keyword(s):  
Structural Optimization ◽  
Optimum Design ◽  
Large Scale ◽  
Optimization Problems ◽  
Response Spectrum ◽  
Minimum Weight ◽  
Optimization Procedure ◽  
Seismic Loading ◽  
Approximate Design ◽  
Design Response Spectrum

The objective of this paper is to perform structural optimization under seismic loading. Combinatorial optimization methods and in particular algorithms based on Evolution Strategies are implemented for the solution of large-scale structural optimization problems under seismic loading. In this work the efficiency of a rigorous approach in treating dynamic loading is investigated and compared with a simplified dynamic analysis in the framework of finding the optimum design of structures with minimum weight. In this context a number of accelerograms are produced from the elastic design response spectrum of the region. These accelerograms constitute the multiple loading conditions under which the structures are optimally designed. This approach is compared with an approximate design approach based on simplifications adopted by the seismic codes. The results obtained for a characteristic test problem indicate a substantial improvement in the final design when the proposed optimization procedure is implemented.

Size and Pretension Optimization Design of Deployable Cable-Frame Antenna Structures

2015 ◽  
Vol 777 ◽  
pp. 101-105
Author(s):  
Ya Li Zong ◽  
Hong Jun Cao ◽  
Ya Jing Ma
Keyword(s):  
Structural Optimization ◽  
Optimization Model ◽  
Optimization Design ◽  
Optimization Problem ◽  
Antenna Structure ◽  
Cable Network ◽  
Surface Precision ◽  
Supporting Frame ◽  
Member Size ◽  
Structural Optimization Problem

In this paper, the structural optimization problem of a deployable cable-frame antenna consisting of a cable network and a supporting frame is discussed in detail. Firstly, the initial equilibrium problem of the cable-frame antenna structure is discussed with emphasis on the realization convenience. An optimization model is proposed to get a set of uniformly distributed cable pretensions whilst satisfying the surface precision requirement. Secondly, the optimization of the member size and cable tensions are integrated in one optimization model in which both folded and deployed status are considered. Finally, a 10-meter antenna is optimized with good results which indicates that the proposed method is feasible and effective.

A random tunneling algorithm for the structural optimization problem

2002 ◽  
Vol 4 (19) ◽  
pp. 4782-4788 ◽  
Author(s):  
Haiyan Jiang ◽  
Wensheng Cai ◽  
Xueguang Shao
Keyword(s):  
Structural Optimization ◽  
Optimization Problem ◽  
Structural Optimization Problem

scholarly journals A modification of steepest descent method for solving large-scaled unconstrained optimization problems

2018 ◽  
Vol 7 (3.28) ◽  
pp. 72
Author(s):  
Siti Farhana Husin ◽  
Mustafa Mamat ◽  
Mohd Asrul Hery Ibrahim ◽  
Mohd Rivaie
Keyword(s):  
Unconstrained Optimization ◽  
Large Scale ◽  
Optimization Problem ◽  
Optimization Problems ◽  
Descent Method ◽  
Steepest Descent ◽  
Steepest Descent Method ◽  
Search Direction ◽  
Exact Line Search ◽  
Scale Optimization

In this paper, we develop a new search direction for Steepest Descent (SD) method by replacing previous search direction from Conjugate Gradient (CG) method, , with gradient from the previous step,  for solving large-scale optimization problem. We also used one of the conjugate coefficient as a coefficient for matrix . Under some reasonable assumptions, we prove that the proposed method with exact line search satisfies descent property and possesses the globally convergent. Further, the numerical results on some unconstrained optimization problem show that the proposed algorithm is promising. 

scholarly journals Structural optimization considering the probabilistic system response

2004 ◽  
Vol 31 (3-4) ◽  
pp. 361-394 ◽  
Author(s):  
M. Papadrakakis ◽  
N.D. Lagaros ◽  
V. Plevris
Keyword(s):  
Structural Optimization ◽  
Design Optimization ◽  
Robust Design ◽  
Large Scale ◽  
Optimization Problem ◽  
Structural Parameters ◽  
Dominant Role ◽  
Robust Design Optimization ◽  
Design Parameters ◽  
System Response

In engineering problems, the randomness and uncertainties are inherent and the scatter of structural parameters from their nominal ideal values is unavoidable. In Reliability Based Design Optimization (RBDO) and Robust Design Optimization (RDO) the uncertainties play a dominant role in the formulation of the structural optimization problem. In an RBDO problem additional non deterministic constraint functions are considered while an RDO formulation leads to designs with a state of robustness, so that their performance is the least sensitive to the variability of the uncertain variables. In the first part of this study a metamodel assisted RBDO methodology is examined for large scale structural systems. In the second part an RDO structural problem is considered. The task of robust design optimization of structures is formulated as a multi-criteria optimization problem, in which the design variables of the optimization problem, together with other design parameters such as the modulus of elasticity and the yield stress are considered as random variables with a mean value equal to their nominal value. .

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