𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Shape optimization using adaptive shape refinement

✍ Scribed by H. S. Kohli; G. F. Carey

Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
901 KB
Volume
36
Category
Article
ISSN
0029-5981

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

A large part of the computational effort in shape optimization problems is expended in the numerical computation of the gradients for sensitivity information. This effort increases dramatically with an increase in the number of variables used to represent the shape. An adaptation of the gradient projection algorithm for shape optimization problems is described here along with a method to reduce the intermediate size of the optimization problem by allowing adaptive refinement of the shape. The method is demonstrated with a simple representative test case.

πŸ“œ SIMILAR VOLUMES

Nested and self-adaptive BΓ©zier paramete
Nested and self-adaptive BΓ©zier parameterizations for shape optimization
✍ Jean-Antoine DΓ©sidΓ©ri; Badr Abou El Majd; AleΕ‘ Janka πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 692 KB

This article is a sequel of [J.-A. De Β΄side Β΄ri, Hierarchical optimum-shape algorithms using embedded Be Β΄zier parameterizations, in: Y. Kuznetsov et al., (Ed.), Numerical Methods for Scientific Computing, Variational Problems and Applications, CIMNE, Barcelona, 2003], in which we defined formally a

ADAPTIVE-PASSIVE ABSORBERS USING SHAPE-M
ADAPTIVE-PASSIVE ABSORBERS USING SHAPE-MEMORY ALLOYS
✍ K. WILLIAMS; G. CHIU; R. BERNHARD πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 417 KB

The adaptive-passive vibration absorber shows promise for combining the stability and low complexity of passive tuned absorbers with the robust performance of active vibration control schemes. Previous adaptive tuned vibration absorbers (ATVA) had been complex and bulky. Shape memory alloys (SMA), w