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Meccanica
Published in: Meccanica 4/2014

01-04-2014

Two degree of freedom gyroscopic systems with linear integrals

Authors: Ranislav M. Bulatovic, Mila Kazic

Published in: Meccanica | Issue 4/2014

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Abstract

In this paper we consider the first integrals, linear in velocities, of conservative gyroscopic systems with two degrees of freedom. A precise criterion which specifies whether a given gyroscopic system possesses a linear integral is derived. When the kinetic energy has the structure of a standard form of the metric of revolution, all the possible systems which admit a linear integral and corresponding integrals are determined explicitly. Two examples are considered to illustrate the usefulness of the derived results.
previous article Configuration-dependent modal analysis of a Cartesian parallel kinematics manipulator: numerical modeling and experimental validation
next article Mechanical buckling and free vibration of thick functionally graded plates resting on elastic foundation using the higher order B-spline finite strip method

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Metadata
Title
Two degree of freedom gyroscopic systems with linear integrals
Authors
Ranislav M. Bulatovic
Mila Kazic
Publication date
01-04-2014
Publisher
Springer Netherlands
Published in
Meccanica / Issue 4/2014
Print ISSN: 0025-6455
Electronic ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-013-9843-3

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