A Step by Step Procedure to Perform Isogeometric Analysis of Beam and Bar Problems in Civil Engineering Including Sizing Optimisation of a Beam

Research Paper

A Step by Step Procedure to Perform Isogeometric Analysis of Beam and Bar Problems in Civil Engineering Including Sizing Optimisation of a Beam

0*, N. S. S. Sahithi**

* Assistant Professor, Department of Civil Engineering, CVR College of Engineering, Hyderabad, India.

** PG Scholar, Department of Civil Engineering, CVR College of Engineering, Hyderabad, India.

Chandrasekhar, K.N.V., and Sahithi, N.S.S. (2018). A Step By Step Procedure to Perform Isogeometric Analysis of Beam and Bar Problems In Civil Engineering Including Sizing Optimisation of a Beam. i-manager’s Journal on Structural Engineering, 7(1), 13-27. https://doi.org/10.26634/jste.7.1.14283

Abstract

The integration of CAD geometry and analysis is really a big advantage of using Isogeometric analysis. The Galerkin weak formulation is used to solve the governing differential equations using the B-splines and NURBS functions. The main focus of this paper is to present a detailed step by step procedure to solve beam and bar problems in Civil Engineering. The beam is analysed for static and dynamic loading, and the bar problem is analysed to find the natural frequency of vibration. The sizing optimization of the beam is also perfomed to determine the optimal cross section dimensions of the beam. The results from the Isogeometric analysis are then compared with the theoretical results. The results from Isogeometric analysis shows a good agreement with those obtained by using the analytical methods. The solution from the Isogeometric analysis has better precision over other standard methods. The structures are designed with a basic set of criteria, which include minimum weight, frequency, compliance, and volume. In this paper, the problems related to the weight and frequency are presented, and this paper provides a few basic examples to discuss in a classroom.