Exact Static Analysis of Curved Timoshenko Beams with Nonlinear Boundary Conditions

  • 顏 千智

學生論文: Doctoral Thesis

摘要

This thesis presents a method the shifting function method for finding the exact static solution of curved Timoshenko beams with nonlinear boundary conditions Most general problems of in-plane and out-of-plane curved beams are coupled However if the cross section of the curved beam is doubly symmetric and the plane is a principal plane of the cross section then the in-plane and out-of-plane problems are uncoupled Six coupled governing differential equations are derived via the Hamilton’s principle After some simple algebraic operations the curved beam system can be decomposed into a complete sixth-order ordinary differential characteristic equation and the associated boundary conditions Nonlinear boundary problems are solved by the shifting function method Finally an example of cantilever curved beam is given to illustrate the analysis limiting studies and verification and show that the proposed method performs very well for problems with nonlinearity
獎項日期2015 七月 29
原文English
監督員Sen-Yung Lee (Supervisor)

引用此文

Exact Static Analysis of Curved Timoshenko Beams with Nonlinear Boundary Conditions
千智, 顏. (Author). 2015 七月 29

學生論文: Doctoral Thesis