A new quantitative method of estimating steady state periodic behavior in nonlinear systems, based on the trigonometric collocation method, is outlined. A procedure is developed to analyze large rotor dynamic systems with nonlinear supports by the use of the above method in conjunction with Component Mode Synthesis. The algorithm discussed is seen to reduce the original problem to solving nonlinear algebraic equations in terms of only the coordinates associated with the nonlinear supports and is a big improvement over commonly used integration methods. The feasibility and advantages of the procedure so developed are illustrated with the help of an example of a typical rotor dynamic system with an uncentered squeeze film damper. Future work on the investigation of the stability of the periodic response so obtained is outlined.
Skip Nav Destination
Article navigation
April 1989
This article was originally published in
Journal of Vibration, Acoustics, Stress, and Reliability in Design
Research Papers
Periodic Solutions in Rotor Dynamic Systems With Nonlinear Supports: A General Approach
C. Nataraj,
C. Nataraj
Mechanical and Aerospace Engineering, Arizona State University, Tempe, Arizona
Search for other works by this author on:
H. D. Nelson
H. D. Nelson
Mechanical and Aerospace Engineering, Arizona State University, Tempe, Arizona
Search for other works by this author on:
C. Nataraj
Mechanical and Aerospace Engineering, Arizona State University, Tempe, Arizona
H. D. Nelson
Mechanical and Aerospace Engineering, Arizona State University, Tempe, Arizona
J. Vib., Acoust., Stress, and Reliab. Apr 1989, 111(2): 187-193 (7 pages)
Published Online: April 1, 1989
Article history
Received:
August 15, 1987
Online:
November 23, 2009
Citation
Nataraj, C., and Nelson, H. D. (April 1, 1989). "Periodic Solutions in Rotor Dynamic Systems With Nonlinear Supports: A General Approach." ASME. J. Vib., Acoust., Stress, and Reliab. April 1989; 111(2): 187–193. https://doi.org/10.1115/1.3269840
Download citation file:
Get Email Alerts
Cited By
Efficient Hyper-Reduced Small Sliding Tribomechadynamics
J. Vib. Acoust (February 2023)
Modal Analysis of Non-Conservative Combined Dynamic Systems
J. Vib. Acoust (February 2023)
Traveling and Standing Flexural Waves in the Micro-Beam Based on the Fraction-Order Nonlocal Strain Gradient Theory
J. Vib. Acoust (December 2022)
Related Articles
Prediction of Periodic Response of Rotor Dynamic Systems With Nonlinear Supports
J. Vib. Acoust (July,1997)
Analysis of Dynamic Systems With Periodically Varying Parameters Via Chebyshev Polynomials
J. Vib. Acoust (January,1993)
Dynamics of Forced Nonlinear Systems Using Shooting/Arc-Length Continuation Method—Application to Rotor Systems
J. Vib. Acoust (January,1997)
An Efficient Numerical Simulation for Solving Dynamical Systems With Uncertainty
J. Comput. Nonlinear Dynam (September,2017)
Related Chapters
Measuring Graph Similarity Using Node Indexing and Message Passing
International Conference on Computer Technology and Development, 3rd (ICCTD 2011)
Ultra High-Speed Microbridge Chaos Domain
Intelligent Engineering Systems Through Artificial Neural Networks, Volume 17
Dynamic Behavior in a Singular Delayed Bioeconomic Model
International Conference on Instrumentation, Measurement, Circuits and Systems (ICIMCS 2011)