Designing Nonlinear Torsional Vibration Absorbers View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2012

AUTHORS

Steven W. Shaw

ABSTRACT

We consider issues related to the design of mechanical systems that feature nonlinear vibratory behavior. Designs that account for, and also exploit, nonlinear dynamics are considered. The chapter provides a brief overview of general considerations related to these issues, and then considers in detail the case of vibration absorbers that are used to reduce torsional vibrations in rotating systems. These absorbers, which are being developed for use in automotive engines, consist of centrifugally driven masses that ride on user-specified paths relative to a rotor that is being driven by a fluctuating torque. The absorbers are used to reduce the torsional vibrations of the rotor by providing a torque on the rotor that counteracts, at least partially, the applied torque. The mathematical model of this system represents, under assumptions on the system parameters consist with practical applications, a system of N identical nonlinear oscillators with weak damping, weak global coupling, and weak near-resonant excitation. The nonlinearity in the oscillators depends on the path, and the goal of this nonlinear dynamic design problem is to select a path that provides good vibration reduction over a specified range of torque amplitudes. The desired response has all N absorbers behaving identically, that is, in a synchronous manner. However, the structure of this system leads to two distinct types of dynamic instabilities, and both must be avoided for a given design to be feasible. In this work we examine the synchronous absorber response in terms of vibration reduction, torque range, and stability. It is shown that a particular epicycloidal path provides good performance, and can be made stable. These results are a summary of previous work described in (30). More... »

PAGES

135-169

Book

TITLE

Exploiting Nonlinear Behavior in Structural Dynamics

ISBN

978-3-7091-1186-4
978-3-7091-1187-1

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-7091-1187-1_4

DOI

http://dx.doi.org/10.1007/978-3-7091-1187-1_4

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1014741710


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