Design sensitivity for arch structures with respect to midsurface shape under static loading |
| |
| Authors: | D Chenais B Rousselet R Benedict |
| |
| Institution: | (1) Department of Mathematics, University of Nice, Nice, France;(2) College of Engineering, Division of Materials Engineering, University of Iowa, Iowa City, Iowa |
| |
| Abstract: | We consider in this paper an example of structural optimization in which the structure is a loaded arch and the design variable is the shape of the arch. We concentrate on differentiability of static response with respect to shape changes. After recalling the arch equation with its functional spaces and the optimization problem, we state a differentiability theorem and provide a detailed proof. Numerical use of this result is finally discussed. |
| |
| Keywords: | Optimal design structural mechanics arch equations differentiability design sensitivity |
| 本文献已被 SpringerLink 等数据库收录！ |
