Isogeometric Shape Optimization of 2D Structures Using Fully Analytical Sensitivity Analysis

مهندسی عمران فردوسی

Article 5, Volume 33, Issue 1 - Serial Number 29, August 2020, Pages 67-84   

Document Type: پژوهشی

DOI: 10.22067/civil.v1i33.77532

Authors

sajjad nikoei¹; Behroz hasani^{* 2}

¹Department of Aerospace Engineering, Ferdowsi University of Mashhad, Mashhad, Iran

²Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran

Abstract

In most of the structural optimization approaches analysis and sensitivities are carried out by using the conventional finite element method. Due to the variations of the problem geometry within the shape optimization iterations, updating the computational model by several remeshings is required that is quite time consuming and computationally costly. As a remedy for this problem, the NURBS-based isogeometric analysis method is here adopted that combines the Computer Aided Design (CAD) and finite element techniques. In this study, in the shape optimization of the structures the Method of Moving Asymptotes (MMA), which is a gradient-based method, is employed and to calculate the required sensitivities a fully analytical approach is presented. To demonstrate the performance of the suggested approach, various numerical examples are solved.
 

Supplementary Files

5-Hasani - Revised.pdf

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