Author
E.V. Wilms
Bio: E.V. Wilms is an academic researcher from University of Manitoba. The author has contributed to research in topics: Equations of motion & Motion (geometry). The author has an hindex of 1, co-authored 2 publications receiving 9 citations.
Papers
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8 citations
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12 citations
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TL;DR: In this paper, the authors reveal the importance of Moran's criterion for suppression of oscillations by incomplete damping in systems with multiple eigenfrequencies and provide extensions to the case of indefinite damping.
8 citations
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6 citations
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TL;DR: In this article, the presence of pure imaginary eigenvalues of the partially damped vibrating systems is treated and the number of such eigen values is determined using the rank of a matrix which is directly related to the system matrices.
Abstract: The presence of pure imaginary eigenvalues of the partially damped vibrating systems is treated. The number of such eigenvalues is determined using the rank of a matrix which is directly related to the system matrices.
5 citations
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TL;DR: In this article, all conditions for synchronic harmonic oscillations are presented for discrete and continuous undamped linear systems in free vibration, including initial conditions as an eigenvector (or eigenfunction) for the initial displacements, and no generalized velocities for t = 0.
Abstract: All conditions for synchronic harmonic oscillations are presented. These are for discrete and continuous undamped linear systems in free vibration. A vibrations literature review indicates that only one or the basic condition for synchronous harmonic free vibrations is known. This is, initial conditions as an eingenvector (or eigenfunction) for the initial displacements, and no generalized velocities for t=0. Moreover, although assumed or expected for continuous systems, this result appears solely or mainly for discrete systems in the literature.
4 citations