Sensitivity Analysis of Quality of B-spline Parameterization on Isogeometric Analysis

Authors

  • Sangamesh Gondegaon M V J College of Engineering Bangalore, India https://orcid.org/0000-0001-8426-086X
  • Hari Kumar Voruganti National Institute of Technology, Warangal, India

DOI:

https://doi.org/10.13052/ejcm1779-7179.29462

Keywords:

Isogeometric analysis, B-spline, parameterization, first fundamental matrix

Abstract

Isogeometric analysis (IGA) is a mesh free technique which make use of B-spline basis functions for geometry and field variable representation. Parameterization of B-spline for IGA is the counterpart of meshing as in finite element method (FEM). The objective of parameterization is to find the optimum set of control points for B-spline modelling. The position of control points of a B-spline model has huge effect on IGA results. In this work, the effect of B-spline parameterization on IGA result is presented. One dimensional case of bar with self-weight is solved and compared with exact analytical solution. First fundamental matrix is used as evaluation metric to check the quality of parameterization for 2-D domains. A heat conduction problem of a square domain is presented to study the parameterization effect for 2-D case.

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Author Biographies

Sangamesh Gondegaon, M V J College of Engineering Bangalore, India

Sangamesh Gondegaon is currently working as Associate Professor at Department of Mechanical Engineering in M. V. J College of Engineering, Bangalore. He received his B.E degree from Sri Jayachamarajendra College of Engineering, Mysore. He received his master degree in Machine Design from B.M.S College of Engineering, Bangalore. He obtained his Ph.D from Department of Mechanical Engineering, National Institute of Technology, Warangal. His research interest are Isogeometric Analysis, Finite Element Analysis and Geometric modelling using B-splines.

Hari Kumar Voruganti, National Institute of Technology, Warangal, India

Hari Kumar Voruganti is currently working as Associate Professor at Department of Mechanical Engineering in National Institute of Technology, Warangal. He received his B.Tech degree from KITS, Warangal. He received his master degree in Automation and Robotics from Osmania University, Hyderabad. He obtained his Ph.D from Department of Mechanical Engineering, Indian Institute of Technology, Kanpur. He went on pursue his Post-Doctoral Fellowship University of the Witwatersrand, Johannesburg. He was also a visiting scholar for Technical University, Berlin, Germany. He previously worked as Assistant Professor in Indian Institute of Information Technology, Design & Manufacturing, Jabalpur. His research interest are Computer Aided Design, Isogeometric Analysis, Structural Optimization, Robotics, Applied Optimization and Computational Biology.

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Published

2021-05-13

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Original Article