Vibration and stability analysis of non prismatic timoshenko beams on elastic foundation

Abstract eng:
Power series approximation is used to solve the problem of linear vibration and stability of a non-prismatic Timoshenko beam with variable geometric parameters, resting on tow –parameter non homogenous elastic foundation with generalized end conditions. The beam is subjected to normal dynamic force load, tangential load and axial load (tension or compression). The exact fundamental solutions could be found by expressing the coefficients of differential equations in power series form. And also, it is assumed that the functions which describe the beam's variable parameters such as: flexural rigidity, density and loads can be expanded in to power series. The method is applied to solve two problems: the dynamic and free vibration analysis of non prismatic beams on elastic foundation, and the static and stability analysis of non prismatic members have also been investigated by making the frequency ω=0. Several comprehensive examples of non prismatic beams with various boundary conditions such as fixed-free and simple supported, have been presented to show the accuracy and validity of proposed method, and the obtained results are compared with the finite element method and other analytical approaches. The method can be applied for the buckling load and natural frequencies computation of prismatic members and frames as well as non prismatic members.

• Export as: BibTeX | MARC | MARCXML | DC | EndNote | NLM | RefWorks
• Add to your basket