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

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.


1995 ◽  
Vol 05 (03) ◽  
pp. 387-399 ◽  
Author(s):  
ZHIPING LI

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.


Author(s):  
Hidehiro Yoshino ◽  
Fumihiro Ohshima ◽  
Ming Shao

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.


Author(s):  
Carl M. Nail

Abstract Dice must often be removed from their packages and reassembled into more suitable packages for them to be tested in automated test equipment (ATE). Removing bare dice from their substrates using conventional methods poses risks for chemical, thermal, and/or mechanical damage. A new removal method is offered using metallography-based and parallel polishing-based techniques to remove the substrate while exposing the die to minimized risk for damage. This method has been tested and found to have a high success rate once the techniques are learned.


2005 ◽  
Author(s):  
Willian H. VAN DER Schalie ◽  
David E. Trader ◽  
Mark W. Widder ◽  
Tommy R. Shedd ◽  
Linda M. Brennan

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