On frequency independent causal damping
Date Issued
2008
Date
2008
Author(s)
Liou, Bo-Hong
Abstract
In this thesis we consider a mass-spring-damping oscillator, constructing a mathematical model of structural damping which is frequency-independentnd causal. It is found that the oscillator with the structural damping is a two-phase linear system with a slide-stick switch.he exact solutions of its responses to simple harmonic loading are obtained, and the criteria of the two-phase switch are derived.ith the aid of the long-term behavior of the exact solutions,he steady motions of the oscillator are categorized in the parametric space of the ratios of frequencies and dampings.ormulae for estimating the steady responses of the oscillator are also derived using the method of phase plane.he estimated results fit very well with the exact solutions when the ratio of frequencies is larger than 1/3.e further study an oscillator with bilinear structural damping, which is resulted from adding a spring element to the original oscillator.t is also a two-phase linear system but with an on-off switch; it never sticks even in the off phase.gain exact solutions and swithing criteria are obtained.t last we put the structural damping elements into a multi-degree-of-freedom frame and develop arocedure for solving its equations of motion and deriving the slide-slide condition.
Subjects
oscillator
frequency independent damping
structural damping
bilinear structural damping
causality
friction
Type
thesis
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