scholarly journals A CONVEX RELAXATION FORMULATION FOR MINIMUM WEIGHT DESIGN PROBLEM OF STEEL FRAME STRUCTURES

2012 ◽  
Vol 77 (673) ◽  
pp. 369-377
Author(s):  
Chang SONG ◽  
Makoto YAMAKAWA ◽  
Koji UETANI
Keyword(s):  
Design Problem ◽  
Minimum Weight ◽  
Convex Relaxation ◽  
Steel Frame ◽  
Frame Structures ◽  
Minimum Weight Design ◽  
Steel Frame Structures ◽  
Weight Design

Optimum Design of Bridge Girders for Electric Overhead Traveling Cranes

1978 ◽  
Vol 100 (3) ◽  
pp. 375-382
Author(s):  
S. S. Rao
Keyword(s):  
Design Problem ◽  
Function Method ◽  
Minimum Weight ◽  
Inequality Constraints ◽  
Bridge Girders ◽  
Penalty Function Method ◽  
Minimum Weight Design ◽  
Overall Stability ◽  
Weight Design ◽  
Load Conditions

The problem of the design of box-type bridge girders for electric overhead traveling cranes is formulated as a minimum weight design problem with inequality constraints. The restrictions placed on the design problem include limitations on the maximum allowable deflections and stresses as well as on the shock absorbing capacity during accidental collision. The overall stability and rigidity considerations are also taken into account. Several load conditions, as per the code specifications, are considered in the design problem. The resulting nonlinear programming problem is solved by using an interior penalty function method. Numerical examples are given to illustrate the effectiveness of the approach. The resulting computer program is used to make a sensitivity analysis of the problem.

scholarly journals Resizing Technique-Based Hybrid Genetic Algorithm for Optimal Drift Design of Multistory Steel Frame Buildings

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Hyo Seon Park ◽  
Eunmi Kwon ◽  
Yousok Kim ◽  
Se Woon Choi
Keyword(s):  
Genetic Algorithm ◽  
Minimum Weight ◽  
Hybrid Genetic Algorithm ◽  
Optimization Methods ◽  
Steel Frame ◽  
Convergence Properties ◽  
Minimum Weight Design ◽  
Frame Buildings ◽  
Steel Frame Buildings ◽  
Weight Design

Since genetic algorithm-based optimization methods are computationally expensive for practical use in the field of structural optimization, a resizing technique-based hybrid genetic algorithm for the drift design of multistory steel frame buildings is proposed to increase the convergence speed of genetic algorithms. To reduce the number of structural analyses required for the convergence, a genetic algorithm is combined with a resizing technique that is an efficient optimal technique to control the drift of buildings without the repetitive structural analysis. The resizing technique-based hybrid genetic algorithm proposed in this paper is applied to the minimum weight design of three steel frame buildings. To evaluate the performance of the algorithm, optimum weights, computational times, and generation numbers from the proposed algorithm are compared with those from a genetic algorithm. Based on the comparisons, it is concluded that the hybrid genetic algorithm shows clear improvements in convergence properties.

Application of Pontryagin’s Principle to a Minimum Weight Design Problem

1970 ◽  
Vol 92 (2) ◽  
pp. 245-250 ◽  
Author(s):  
B. M. E. de Silva
Keyword(s):  
Optimal Control ◽  
Maximum Principle ◽  
Optimal Control Theory ◽  
Design Problem ◽  
Minimum Weight ◽  
Inequality Constraints ◽  
Minimum Weight Design ◽  
The Maximum Principle ◽  
Weight Design ◽  
And Control

A minimum weight design problem has been formulated as a general problem in optimal-control theory with the addition of state and control inequality constraints. Complete analytical solutions have been derived using the maximum principle of Pontryagin.

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