Analytical study of the transition curves in the bi-linear Mathieu equation
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DOI: 10.1007/s11071-020-05884-0
Abstract: The current work is primarily devoted to the asymptotic analysis of the instability zones existing in the bi-linear Mathieu equation. In this study, we invoke the common asymptotical techniques such as the method of averaging… read more here.
Keywords: linear mathieu; study; transition curves; mathieu equation ... See more keywords
An incremental harmonic balance method with two time-scales for quasi-periodic responses of a Van der Pol–Mathieu equation
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DOI: 10.1016/j.ijnonlinmec.2021.103767
Abstract: Abstract An incremental harmonic balance (IHB) method with two time-scales is presented and used for calculating accurate quasi-periodic responses of a one-degree-of-freedom Van der Pol–Mathieu equation with coupled self-excited vibration and parametrically excited vibration with… read more here.
Keywords: der pol; van der; pol mathieu; mathieu equation ... See more keywords
Dynamic characteristics of resonant vibratory gyroscopes based on the damped Mathieu equation
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DOI: 10.1108/sr-05-2017-0081
Abstract: Purpose This paper aims to develop resonant vibratory gyroscopes for high sensitive detection. The dynamic characteristics of resonant vibratory gyroscopes are investigated. Design/methodology/approach Firstly, the working principle and the dynamic output characteristics of the resonant… read more here.
Keywords: vibratory gyroscopes; resonant vibratory; characteristics resonant; mathieu equation ... See more keywords