The dynamic analysis of nonuniformly pretwisted Timoshenko beams with elastic boundary conditions. (Q1347497)

The coupled governing differential equations and general elastic boundary conditions for a nonuniform pretwisted Timoshenko beam are derived by Hamilton's principle. A closed-form static solution for the general system is obtained, and a relation between the static solution and the field transfer matrix is derived. Further, a simple and accurate modified transfer matrix method is presented for studying the dynamic behavior of Timoshenko beam with arbitrary pretwist. Additionally, a relation between the steady solution and frequency equation is obtained.