Static and dynamic analysis of linear elastic systems on non-prismatic three dimensional beam elements
Master Thesis
1980
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University of Cape Town
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Abstract
A computer programme NONPRI, has been developed for the analysis of three dimensional skeletal assemblages consisting of non-prismatic members. It is capable of static and dynamic analysis of structures consisting of members whose constitutive relationship is linear elastic. The finite element formulation is based on the family of quadratic isoparametric finite elements. The three noded space frame element is quite versatile in that it can account for shear as well as flexural 9 axial and torsional deformation effects making it suitable for thin and thick beam analysis and for cases where the axial and torsional deformations are relevant. The element can be degenerated to a truss/frame transition element (3 translational degrees of freedom at each node - rotations ignored) and further degenerated to become a truss element. Furthermore, the element internal node is defined to lie at an arbitrary position inside the element. Thus, this flexibility in the non-prismatic element formulation makes it very powerful in practical analysis problems. An out-of-core solution technique is used for the equations of static analysis bearing in mind the capability for solving large structural systems. An in-core solution technique is used for the equations of dynamic analysis bearing now in mind that these equations represent an iterative process which can otherwise become computationally very expensive.
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Bibliography: leaves 100-103.
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Resende, L. 1980. Static and dynamic analysis of linear elastic systems on non-prismatic three dimensional beam elements. University of Cape Town.