A Strain Energy Function for Large Deformations of Curved Beams

curved beam;bending;strain energy;splines;finite element;System Design Engineering

Mackenzie, Ian

University of Waterloo

关键词: curved beam;    bending;    strain energy;    splines;    finite element;    System Design Engineering;   

Others  :  https://uwspace.uwaterloo.ca/bitstream/10012/4127/1/Mackenzie_Ian.pdf

瑞士|英语

来源: UWSPACE Waterloo Institutional Repository

【 摘 要 】

This thesis develops strain and kinetic energy functions and a finite beam element useful for analyzing curved beams which go through large deflections, such as a hockey stick being swung and bent substantially as it hits the ice. The resulting beam model is demonstrated to be rotation invariant and capable of computing the correct strain energy and reaction forces for a specified deformation. A method is also described by which the model could be used to perform static or dynamic simulations of a beam.