New effective finite elements for thin-walled cross-section
Abstract
IN THIS THESIS AN ATTEMPT HAS BEEN MADE TO PRESENT, TOGETHER WITH BOTH A STATIC AND DYNAMIC ANALYSIS, A NEW FAMILY OF EFFECTIVE FINITE ELEMENTS FOR THIN-WALLED CROSS- SECTIONS. THE METHOD OF PRESENTATION IS BASED UPON THE SUPERPOSITION OF BEAM AND SHELL DISPLACEMENTS AND CONSTITUTE A FURTHER STEP IN THE FINITE ELEMENT ANALYSIS IN GENERAL OF THESE CROSS-SECTIONS. THE MAIN INNOVATIONS OF THIS METHOD ARE: (I) EXACT SHAPE FUNCTIONS FOR BEAM DISPLACEMENTS ARE USED ALONG THE NEUTRAL AXIS. (II) EXACT OR POLYNOMIAL SHAPE FUNCTIONS WITH DISCRETE DEGREES OF FREEDOM FOR SHELL DISPLACEMENTS ARE USED ALONG THE MIDDLE LINE OF THE CROSS-SECTION. STRIP INTERPOLATION THEORY IS USED TO DETERMINE THE SHELL DISPLACEMENTS ALONG THE NEUTRAL AXIS. THE METHOD HAS BEEN APPLIED HEREIN TO THE CURVED PIPE PROBLEM WITH APPARANTLY SATISFACTORY RESULTS IN THE STATIC AND DYNAMIC ANALYSIS. SPECIAL ATTENTION HAS BEEN GIVEN TO THE TIME INTEGRATION SCHEMES, BECAUSE OF THE COMBINED BEAM AND SHELL BEHAVIOUR ...
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