Engineering with Computers

, Volume 35, Issue 2, pp 351–362 | Cite as

NURBS-augmented finite element method for stability analysis of arbitrary thin plates

  • Biraja Prasad Mishra
  • Manoranjan BarikEmail author
Original Article


In the analysis of a plate, the geometry plays a very important role. The non-uniform rational B-spline (NURBS) basis functions are employed for the representation of the geometry and field variables in the isogeometric analysis. These basis functions are able to represent the geometry accurately. They are non-interpolating in nature, and hence do not satisfy the Kronecker-Delta property. Hence, it becomes difficult to enforce the essential boundary conditions at the control variables. A new method called NURBS-augmented finite element method (NAFEM) was proposed (Mishra and Barik, Comput Struct,, 2017) and arbitrary shaped plates were successfully dealt for bending analysis. In the NAFEM, the authors adopted the finite element basis functions for the field variables as they satisfy the Kronecker-Delta property so that the boundary conditions were enforced with ease and the NURBS basis functions were employed for the geometry, thereby representing the shape of the plate accurately. In the present work, the same is extended for stability analysis of plates having different geometries and boundary conditions and the results are found to be in excellent agreement with the existing ones. Some new shapes have also been considered, and the new results are presented.


NURBS-augmented finite element method (NAFEM) Isogeometric analysis (IGA) Non-uniform rational B-spline (NURBS) Finite element analysis (FEA) Stability analysis Arbitrary thin plates 


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Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Civil EngineeringNational Institute of TechnologyRourkelaIndia

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