Semester

Spring

Date of Graduation

2004

Document Type

Thesis

Degree Type

MS

College

Statler College of Engineering and Mineral Resources

Department

Mechanical and Aerospace Engineering

Committee Chair

Nithi T. Sivaneri.

Abstract

A Composite beam moving longitudinally over its supports is analyzed based on a higher-order shear deformation theory. The dynamic behavior of the beam is carried out using the finite element method. The formulation is based on a variational principle. The essential constraints are applied via Lagrange multipliers. This method is effective for the moving beam problem where the relative support locations change with time and therefore the supports do not fall exactly at the nodes. An initially deformed overhang beam moving over two simple supports is used for the analysis. The first flexural mode shape of the beam is used as the initial shape of the beam. The finite element equations of motion are then solved using time integration methods such as Newmark's method and Wilson Theta method. The results are presented in terms of time history of tip deflections. The performance of the higher-order shear deformation model is compared with that of the first-order shear deformation theory and Classical laminate plate theory. The response in all the cases exhibits a beat-like phenomenon due to the interplay of the axial frequency and the transverse natural frequencies. In all the cases considered, the axial motion causes a magnification in the transverse deflection by about 40%.

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