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On the Analysis of the Timoshenko Beam Theory With and Without Internal Damping
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TLDR
Doshi and Chinubhai as discussed by the authors derived the Timoshenko beam equation in terms of variable "w" where w is the deflection due to the bending of a beam, and the equation is used to analyze an infinite beam loaded with a concentrated transverse load and an impulse.Abstract:
Doshi, Chinubhai S.; M.S., Rochester Institute of Technology, Feb. "79. 'On the Analysis of the Timoshenko Beam Theory With and Without Internal Damping.1 Advisor: R. B. Hetnarski The Timoshenko beam equation in terms of variable 'w ' is derived where 'w is the deflection due to the bending of a beam. D The equation is used to analyze an infinite beam loaded with (i) a concentrated transverse load and (ii) an impulse. It is also shown that the rotatory damping in the equation eliminates the increasing amplitude in the propagation of the bending moment when an impulse is applied to an infinite beam. Also the general procedure for the anlysis of a non-homogeneous equation is explained.read more
Citations
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Dissertation
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Hazal Yüksekkaya,Erhan Pişkin +1 more
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References
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LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic bars
TL;DR: In this article, the correction for shear of the differential equation for transverse vibrations of prismatic bars is discussed, where the correction is based on the correction of the transverse vibration of a prismatic bar.
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