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• W2017600007 abstract "The transverse vibrations of a circular disk of uniform thickness rotating about its axis with constant angular velocity are analyzed when the disk is subject to a space-fixed spring-mass-dashpot system. The disk is clamped at the center and free at the periphery. Using the method of multiple scales, the authors determine a set of four nonlinear ordinary-differential equations governing the modulation of the amplitudes and phases of two interacting modes. The symmetry of the system and the loading conditions are reflected in the symmetry of the modulation equations. They are reduced to an equivalent set of two first-order equations whose equilibrium solutions are determined analytically. The stability characteristics of these solutions is studied; the qualitative behavior of the response is independent of the mode being considered. Considering the case of a spring moving periodically along the radius of the disk, the authors show how its frequency can be coupled to the rotational speed of the disk and subject the system to a principal parametric resonance." @default.
• W2017600007 created "2016-06-24" @default.
• W2017600007 creator A5042354204 @default.
• W2017600007 creator A5057220513 @default.
• W2017600007 date "2001-10-01" @default.
• W2017600007 modified "2023-09-27" @default.
• W2017600007 title "Instability Mechanisms of a Centrally Clamped Rotating Circular Disk Under a Space-Fixed Spring-Mass-Dashpot System" @default.
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• W2017600007 doi "https://doi.org/10.1177/107754630100700704" @default.
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