Response of a uniform free-pinned beam to lateral sinusoidal and random excitation

• Main Author: Lang, Theodore E.
• Format: Others
• Published: 1961
• Online Access: https://thesis.library.caltech.edu/1280/1/Lang_te_1961.pdf; Lang, Theodore E. (1961) Response of a uniform free-pinned beam to lateral sinusoidal and random excitation. Engineer's thesis, California Institute of Technology. doi:10.7907/EMNS-X912. https://resolver.caltech.edu/CaltechETD:etd-04062006-152449 <https://resolver.caltech.edu/CaltechETD:etd-04062006-152449>

The equation of motion for a beam in flexure is solved for a free-pinned beam excited by two types of point forcing functions. The two forcing functions, one varying sinusoidally in time and the other randomly, are expressed in terms of a displacement input at the pinned end of the beam. The response of the beam is expressed in terms of strain as a function of location along the length of the beam. The results of an experiment to evaluate the damping coefficient for each of the five lowest bending modes of the beam are reported. The damping coefficients were calculated from the equation for the response of the beam to sinusoidal excitation using experimentally measured values of the displacement at the input end and strain along the beam.