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Non-linear dynamic analysis of geared systems, part 2A good understanding of the steady state dynamic behavior of a geared system is required in order to design reliable and quiet transmissions. This study focuses on a system containing a spur gear pair with backlash and periodically time-varying mesh stiffness, and rolling element bearings with clearance type non-linearities. A dynamic finite element model of the linear time-invariant (LTI) system is developed. Effects of several system parameters, such as torsional and transverse flexibilities of the shafts and prime mover/load inertias, on free and force vibration characteristics are investigated. Several reduced order LTI models are developed and validated by comparing their eigen solution with the finite element model results. Several key system parameters such as mean load and damping ratio are identified and their effects on the non-linear frequency response are evaluated quantitatively. Other fundamental issues such as the dynamic coupling between non-linear modes, dynamic interactions between component non-linearities and time-varying mesh stiffness, and the existence of subharmonic and chaotic solutions including routes to chaos have also been examined in depth.
Document ID
19900014416
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Singh, Rajendra (Ohio State Univ. Columbus, OH, United States)
Houser, Donald R. (Ohio State Univ. Columbus, OH, United States)
Kahraman, Ahmet (Ohio State Univ. Columbus, OH, United States)
Date Acquired
September 6, 2013
Publication Date
February 1, 1990
Subject Category
Mechanical Engineering
Report/Patent Number
NASA-CR-180495
NAS 1.26:180495
Accession Number
90N23732
Funding Number(s)
CONTRACT_GRANT: NAG3-773
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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