THE DEVELOPMENT OF AN ISOPARAMETRIC HELICAL ELEMENT
NAVRATIL, PETER GEORGE
Master of Science
A new isoparametric element is developed to aid in the finite element analysis of threaded joints that links the radial and axial displacements that normally occur in these types of joints, but which are ignored by axisymmetric analyses. The element is helical in shape, and gives rise to six components of stress and strain, but is implemented in such a way that it can be attached to two-dimensional axisymmetric models. The research includes the theoretical considerations for the development of such an element, the creation of the stiffness matrix, implementation in the finite element code BEGIN, verification, and comparison with experimental data. It is shown that the new element is much too stiff torsionally, and that the results are not better than in the axisymmetric case.