Low Dimensional Models, Wavelet Transforms and Control

1996 ◽  
pp. 271-331 ◽  
Author(s):  
N. Aubry ◽  
G. Berkooz ◽  
B. Coller ◽  
J. Elezgaray ◽  
P. Holmes ◽  
...  
Keyword(s):  
Wavelet Transforms ◽  
Dimensional Models ◽  
Low Dimensional ◽  
And Control

Reduced Order Modelling in Nonlinear Mechanical Oscillators With Energy Pumping

2005 ◽  
Author(s):  
Xianghong Ma ◽  
Alexander F. Vakakis ◽  
Lawrence A. Bergman
Keyword(s):  
Dimensional Model ◽  
Reduced Order ◽  
Energy Pumping ◽  
Weakly Coupled ◽  
Nonlinear Mechanical ◽  
Dimensional Models ◽  
Mechanical Oscillators ◽  
Low Dimensional ◽  
Nonlinear Components ◽  
And Control

Energy pumping in nonlinear mechanical oscillators has been discovered and studied in mechanical systems consisting of weakly coupled, linear and nonlinear components [1–3]. In this paper this phenomenon is further studied and numerically verified on an 11 degree of freedom system. It also presents a technique to create low dimensional models for energy pumping systems using the Karhunen-Loeve (K-L) decomposition method. It is shown that energy pumping can be identified from the dominant K-L modes. The low dimensional models are used to reconstruct the system responses. From the comparisons between the reconstructed and simulated response, we can see that the K-L mode-based low-dimensional model can represent the system responses; it can be used for monitoring, diagnosis and control purposes.

Low dimensional models, the minimal flow unit and control

1999 ◽  
pp. 57-66 ◽  
Author(s):  
J. L. Lumley ◽  
P. N. Blossey ◽  
B. Podvin-Delarue
Keyword(s):  
Flow Unit ◽  
Minimal Flow ◽  
Dimensional Models ◽  
Low Dimensional ◽  
And Control

scholarly journals Low-dimensional models of subcritical transition to turbulence

1997 ◽  
Vol 9 (4) ◽  
pp. 1043-1053 ◽  
Author(s):  
Jeffrey S. Baggett ◽  
Lloyd N. Trefethen
Keyword(s):  
Transition To Turbulence ◽  
Dimensional Models ◽  
Low Dimensional

scholarly journals Design and construction of a prototype for the analysis of vibrations in an induction motor for the detection of faults

2020 ◽  
pp. 27-33
Author(s):  
Javier Garrido ◽  
Beatris Escobedo-Trujillo ◽  
Guillermo Miguel Martínez-Rodríguez ◽  
Oscar Fernando Silva-Aguilar
Keyword(s):  
Fourier Transform ◽  
Induction Motor ◽  
Wavelet Transforms ◽  
Data Acquisition System ◽  
Time Frequency ◽  
Different Types ◽  
Control Devices ◽  
The Fourier Transform ◽  
And Control ◽  
Types Of Faults

The contribution of this work is to present the design of a prototype integrated by an induction motor, a data acquisition system, accelerometers and control devices for stop and start, to generate and identify different types of faults by means of vibration analysis. in the domain: time, frequency or frequency-time, through the use of the Fourier Transform, Fast Fourier Transform or Wavelet Transforms (wavelet transform). In this prototype, failures can be generated in the induction motor such as: unbalance, different types of misalignment, mechanical looseness, and electrical failures such as broken bars or short-circuited rings, an example of a misalignment failure is presented to show the process of analysis and detection.

scholarly journals Bifurcation analysis of vortex-induced vibration of low-dimensional models of marine risers

2021 ◽  
Vol 106 (1) ◽  
pp. 147-167
Author(s):  
Dan Wang ◽  
Zhifeng Hao ◽  
Ekaterina Pavlovskaia ◽  
Marian Wiercigroch
Keyword(s):  
Bifurcation Analysis ◽  
Vortex Induced Vibration ◽  
Marine Risers ◽  
Dimensional Models ◽  
Low Dimensional
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