Minimum-weight design of continuous beams under displacement and stress constraints

1972 ◽  
Vol 9 (2) ◽  
pp. 137-154 ◽  
Author(s):  
Y. F. Dafalias ◽  
G. Dupuis
Keyword(s):  
Minimum Weight ◽  
Stress Constraints ◽  
Minimum Weight Design ◽  
Continuous Beams ◽  
Weight Design

scholarly journals Optimal selection of topologies for the minimum-weight design of continuum structures with stress constraints

1999 ◽  
Vol 213 (8) ◽  
pp. 755-762 ◽  
Author(s):  
Q Q Liang ◽  
Y M Xie ◽  
G P Steven
Keyword(s):  
Structural Optimization ◽  
Performance Index ◽  
Minimum Weight ◽  
Optimization Methods ◽  
Stress Constraints ◽  
Optimal Selection ◽  
Minimum Weight Design ◽  
Continuum Structures ◽  
Weight Design ◽  
Selection Of

This paper presents a method for assisting the optimal selection of topologies for the minimum-weight design of continuum structures subject to stress constraints by using the performance index (PI). A performance index is developed for evaluating the efficiency of structural topologies based on the scaling design approach. This performance index is incorporated in the evolutionary structural optimization (ESO) method to monitor the optimization process when gradually removing inefficient material from the structure. The optimal topology can be identified from the performance index history. Various structures with stress and height constraints are investigated by using this performance index, which is also employed to compare the efficiency of structural topologies generated by different optimization methods. It is shown that the proposed performance index is capable of measuring the efficiency of structural topologies obtained by various structural optimization methods and is a valuable design tool for engineers in selecting optimal topologies in structural design.

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