Sensitivity analysis and optimal design of thin shells of revolution
Abstract
This paper presents the sensitivity analysis for the optimization of axisymmetric shells subjected to arbitrary loading. Thickness and shape design variables are considered. The model is based on a two-node frustum-cone finite element with 8 degrees of freedom based on Love-Kirchhoff assumptions. The objective of the design is the minimization of the volume of the shell material, the maximization of the fundamental natural frequency, the minimization of the maximum stresses, or the minimization of the maximum displacement. The constraint functions are the displacements, stresses, enclosed volume of the structure, volume of shell material or the natural frequency of a specified mode shape. The design sensitivities are calculated analytically, using a symbolic manipulator, semianalytically, and by global finite difference. The efficiency and accuracy of the models developed are discussed with reference to the applications.
- Publication:
-
AIAA Journal
- Pub Date:
- May 1994
- DOI:
- 10.2514/3.12091
- Bibcode:
- 1994AIAAJ..32.1034M
- Keywords:
-
- Cylindrical Shells;
- Design Analysis;
- Sensitivity;
- Structural Design;
- Thin Walled Shells;
- Axisymmetric Bodies;
- Conical Bodies;
- Degrees Of Freedom;
- Displacement;
- Finite Difference Theory;
- Finite Element Method;
- Nonlinear Programming;
- Shapes;
- Stresses;
- Thickness;
- Vibration Mode;
- Structural Mechanics