Transient Response of Beam Under Initial Stress
Publication: Journal of Engineering Mechanics
Volume 110, Issue 10
Abstract
The effect of initial stress on the transient response of a beam subjected to impulsive end loading is investigated. This loading can be prescribed in the form of stress, strain, velocity or acceleration boundary conditions. The Timoshenko equations, modified to include the presence of initial stress, are used to model the beam. The analysis is based on the concept of a wave as a carrier of discontinuities in the field variable and its derivatives. These discontinuities are determined from a set of recurrence relations that are, in turn, generated by using time‐harmonic asymptotic series solutions to the equations of motion. The numerical results obtained confirm the influence of prestress on the transient velocity, bending moment, and shear force distributions in the beam. The results for zero initial stress compare favorably with those from a closed form solution, while the other results follow a particular trend. Solutions to problems with other boundary conditions can be obtained by using the present results.
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Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 110 • Issue 10 • October 1984
Pages: 1544 - 1555
Copyright
Copyright © 1984 ASCE.
History
Published online: Oct 1, 1984
Published in print: Oct 1984
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