Topology Optimization of Element Removal Method Using Stress Density

2002 ◽  
Author(s):  
Okaung Lim ◽  
ChangSik Kim ◽  
JinSik Lee
Keyword(s):  
Topology Optimization ◽  
Removal Method ◽  
Element Removal Method ◽  
Element Removal

Element removal method for singular minimizers in variational problems involving Lavrentiev phenomenon

1992 ◽  
Vol 439 (1905) ◽  
pp. 131-137 ◽  
Keyword(s):  
Numerical Methods ◽  
Numerical Method ◽  
Numerical Experiments ◽  
Variational Problems ◽  
Lavrentiev Phenomenon ◽  
Removal Method ◽  
Element Removal Method ◽  
Element Removal ◽  
Singular Minimizers

A numerical method called element removal method is designed to calculate singular minimizers which cannot be approximated by simple applications of standard numerical methods because of the so-called Lavrentiev phenomenon. The convergence of the method is proved. The results of numerical experiments show that the method is effective.

ELEMENT REMOVAL METHOD FOR SINGULAR MINIMIZERS IN PROBLEMS OF HYPERELASTICITY

1995 ◽  
Vol 05 (03) ◽  
pp. 387-399 ◽  
Author(s):  
ZHIPING LI
Keyword(s):  
Finite Element ◽  
Numerical Method ◽  
Lavrentiev Phenomenon ◽  
Removal Method ◽  
Finite Element Approximations ◽  
Element Removal Method ◽  
Element Removal ◽  
Admissible Functions ◽  
Singular Minimizers

A numerical method called element removal method is applied to calculate singular minimizers in problems of hyperelasticity. The method overcomes the difficulty in finite element approximations caused by restrictions, such as det (I+∇u)>0, on admissible functions and can avoid Lavrentiev phenomenon if it does occur in the problem. The convergence of the method is proved.

Graph-based element removal method for topology synthesis of beam based ground structures

2017 ◽  
Vol 57 (4) ◽  
pp. 1809-1813 ◽  
Author(s):  
Francesco Danzi ◽  
James M. Gibert ◽  
Giacomo Frulla ◽  
Enrico Cestino
Keyword(s):  
Removal Method ◽  
Element Removal Method ◽  
Element Removal ◽  
Ground Structures

Topology Optimization of Bracing Systems for Multistory Steel Frames under Earthquake Loads

2011 ◽  
Vol 255-260 ◽  
pp. 2388-2393 ◽  
Author(s):  
Ji Zhuo Huang ◽  
Zhan Wang
Keyword(s):  
Topology Optimization ◽  
Weighted Average ◽  
Optimization Method ◽  
Layout Design ◽  
Computational Effort ◽  
Steel Frame ◽  
Structural Topology Optimization ◽  
Structural Topology ◽  
Earthquake Loads ◽  
Element Removal

Application of continuum structural topology optimization methods to the layout design of bracing systems for multistory steel frame buildings under earthquake loads is explored in this work. A weighted average strain energy sensitivity of element is formulated to be served as the element removal criterion in the optimization process, and then an ESO-based continuum structural topology optimization method for the layout design of multistory steel frame bracing systems subjected to earthquake-induced ground motions is presented. In each iterative design, an approximate reanalysis technique named CA method is adopted to reduce the computational effort. Finally, a design example is given to demonstrate the effectiveness of the presented optimization method for the optimal layout design of steel frame bracing systems under earthquake loads.

Finishing of Tooth Flanks of Pinion Cutter With Profiled Grinding Wheel in Consideration of Accuracy of Cutting Edge After Regrinding

2000 ◽  
Author(s):  
Hidehiro Yoshino ◽  
Fumihiro Ohshima ◽  
Ming Shao
Keyword(s):  
Conventional Method ◽  
Helix Angle ◽  
Grinding Wheel ◽  
Helical Motion ◽  
Grinding Wheels ◽  
Arbitrary Profile ◽  
Element Removal Method ◽  
Grinding Machine ◽  
Tooth Flank ◽  
Element Removal

Abstract Two kinds of relief grinding methods for pinion cutters with profiled grinding wheels are proposed. One method finishes an involute pinion cutter with almost no regrinding error by giving the helical motion smaller or larger than that corresponding to the helix angle of the pinion cutter. Another is for a pinion cutter with an arbitrary profile, including the involute pinion cutter with a modified profile or protuberance. The tooth flank is finished by giving the three motions, i.e., the helical and approaching motions between the grinding wheel and work pinion cutter and the shifting motion of the grinding wheel. The profile calculation was conducted by using the element removal method. It was shown that the regrinding errors of the pinion cutters being finished by the proposed methods become smaller than that of pinion cutters finished by giving only the approaching motion (conventional method). The finishing tests of the involute helical pinion cutters were carried out on the CNC gear form-grinding machine with the four controlled axes. The profiles of cutting edges of the finished pinion cutters almost agreed with the calculated ones.

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