Investigation of Utilizing a Secant Stiffness Matrix for 2D Nonlinear Shape Optimization and Sensitivity Analysis

• Main Authors: Asghar Vatani Oskouie, Amin Havaran
• Format: Article
• Language: English
• Published: University of Tehran Press 2016-12-01
• Series: Civil Engineering Infrastructures Journal
• Subjects: Nonlinear Analysis; Optimization; Prescribed Displacement; Sensitivity Analysis
• Online Access: http://ceij.ut.ac.ir/article_59636_35e45b8f754f974122b86e43dc1f6b7c.pdf

In this article the general non-symmetric parametric form of the incremental secant stiffness matrix for nonlinear analysis of solids have been investigated to present a semi analytical sensitivity analysis approach for geometric nonlinear shape optimization. To approach this aim the analytical formulas of secant stiffness matrix are presented. The models were validated and used to perform investigating different parameters affecting the shape optimization. Numerical examples utilized for this investigating sensitivity analysis with detailed discussions presented.