Exact Static Analysis of Curved Timoshenko Beams with Nonlinear Boundary Conditions

Abstract

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

Date of Award	2015 Jul 29
Original language	English
Supervisor	Sen-Yung Lee (Supervisor)