Reaction forces control design of shell structures in plastic range based on free-form optimization method

2017 ◽  
Vol 117 ◽  
pp. 211-223 ◽  
Author(s):  
Shintaro Kosaka ◽  
Masatoshi Shimoda ◽  
Jin-Xing Shi
Keyword(s):  
Control Design ◽  
Optimization Method ◽  
Shell Structures ◽  
Free Form ◽  
Plastic Range ◽  
Reaction Forces

Free-form optimization method for buckling of shell structures under out-of-plane and in-plane shape variations

2016 ◽  
Vol 54 (2) ◽  
pp. 275-288 ◽  
Author(s):  
Masatoshi Shimoda ◽  
Tomoki Okada ◽  
Tomohiro Nagano ◽  
Jin-Xing Shi
Keyword(s):  
Optimization Method ◽  
Shell Structures ◽  
Free Form ◽  
Out Of Plane ◽  
Plane Shape

Packing Optimization by Enhanced Rubber Band Analogy

2005 ◽  
Author(s):  
Hong Dong ◽  
Georges M. Fadel ◽  
Vincent Y. Blouin
Keyword(s):  
Three Dimensional ◽  
Optimization Method ◽  
Rubber Band ◽  
Volume Relaxation ◽  
New Developments ◽  
Packing Problems ◽  
Rubber Balloon ◽  
Elastic Forces ◽  
Reaction Forces ◽  
Packing Optimization

In this paper, some new developments to the packing optimization method based on the rubber band analogy are presented. This method solves packing problems by simulating the physical movements of a set of objects wrapped by a rubber band in the case of two-dimensional problems or by a rubber balloon in the case of three-dimensional problems. The objects are subjected to elastic forces applied by the rubber band to their vertices as well as reaction forces when contacts between objects occur. Based on these forces, objects translate or rotate until maximum compactness is reached. To improve the compactness further, the method is enhanced by adding two new operators: volume relaxation and temporary retraction. These two operators allow temporary volume (elastic energy) increase to get potentially better packing results. The method is implemented and applied for three-dimensional arbitrary shape objects.

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