Beam theory in spline parametric cooridinate. Part II: examples

Abstract

The Bernoulli–Euler and Timoshenko’s theory of arbitrary curved beam is derived in the system of NURBS parametric coordinates and detailed in the book [1]. The stiffness matrix of finite elements and overall structure are programmed in the software package Mathematica. A range of isogeometric Bernoulli–Euler beam elements is formulated, starting with C1 up to arbitrarily continuity Cp-1, where p is the degree of rational NURBS function. The results obtained in a number of examples that include accuracy, convergence and convergence speed of solutions were compared with the results obtained from the software package ABAQUS.