1. The effect of discrete viscous damping on the transverse vibration of beams
- Author
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Kevin M. Hubbard, Harry A. Pierson, and Jerald Brevick
- Subjects
Physics ,Acoustics and Ultrasonics ,Mechanical Engineering ,Process (computing) ,Separation of variables ,Mechanics ,Fundamental frequency ,Condensed Matter Physics ,Critical value ,Classical mechanics ,Transverse vibration ,Mechanics of Materials ,Physics::Accelerator Physics ,Damping torque ,Beam (structure) ,Eigenvalues and eigenvectors - Abstract
The effect of a discrete elastic element on the transverse vibration of a Bernoulli–Euler beam has been well-studied; however, the same cannot be said for a beam with a viscous damper. While the former can be analyzed via separation of variables and the solution of the eigenvalue problem, this article presents a method for computing the resonances of the latter case. The nature of a discrete viscous damper's effect on the fundamental frequency of a beam is revealed as the method is applied to the case of a cantilevered beam. In this process, it is shown that damping has the capacity to increase the fundamental frequency of the beam, and that there exists both a particular location and critical value of damping that maximize this frequency.
- Published
- 2013
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