A Detailed Stepwise Procedure to Perform Isogeometric Analysis of a Two Dimensional Continuum Plate Structure-II

Abstract

Isogeometric analysis (IGA) is the future of analysis in structural mechanics where in the geometry of the structure can be precisely represented. The integration of CAD and IGA has enabled us to design the most complex geometry as well. The main focus of the paper is to present a detailed stepwise procedure to perform isogeometric analysis of continuum plate structures subjected to in-plane loading. In this paper, a simple example of a plate structure is taken and the NURBS basis functions were derived. The stiffness matrix was derived and the nodal displacements were determined. The plate structure is analyzed using MARC Mentat®, a standard finite element package, and the results show that the nodal displacements obtained are similar using both of these methods. The code is written in C++ to perform the isogeometric analysis of plate structures.
Keywords: Isogeometric analysis, plate, continuum, NURBS, structural mechanics

Cite this Article

Chandrasekhar K.N.V, Sahithi N.S.S, T. Muralidhara Rao. A Detailed Stepwise Procedure to Perform Isogeometric Analysis of a Two Dimensional Continuum Plate Structure-II. Journal of Aerospace Engineering & Technology. 2017; 7(3): 19–37p.