scholarly journals Study on a Class of Piecewise Nonlinear Systems with Fractional Delay

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Meiqi Wang ◽  
Wenli Ma ◽  
Enli Chen ◽  
Yujian Chang
Keyword(s):  
Time Delay ◽  
Nonlinear System ◽  
Frequency Response ◽  
Dynamic Model ◽  
Fractional Order ◽  
Excitation Frequency ◽  
Order Parameters ◽  
Response Characteristics ◽  
Amplitude Frequency Response ◽  
Frequency Response Characteristics

In this paper, a dynamic model of piecewise nonlinear system with fractional-order time delay is simplified. The amplitude frequency response equation of the dynamic model of piecewise nonlinear system with fractional-order time delay under periodic excitation is obtained by using the average method. It is found that the amplitude of the system changes when the external excitation frequency changes. At the same time, the amplitude frequency response characteristics of the system under different time delay parameters, different fractional-order parameters, and coefficient are studied. By analyzing the amplitude frequency response characteristics, the influence of time delay and fractional-order parameters on the stability of the system is analyzed in this paper, and the bifurcation equations of the system are studied by using the theory of continuity. The transition sets under different piecewise states and the constrained bifurcation behaviors under the corresponding unfolding parameters are obtained. The variation of the bifurcation topology of the system with the change of system parameters is given.

Vibration Analysis of Diesel’s Undercarriage by Virtual Measure and Actual Measure

2011 ◽  
Vol 228-229 ◽  
pp. 621-626
Author(s):  
Peng Liu ◽  
Ying Yun Huang ◽  
Hao Peng Gao ◽  
Da Sheng Ou
Keyword(s):  
Frequency Response ◽  
Time Domain ◽  
Vibration Analysis ◽  
Response Characteristics ◽  
Amplitude Frequency Response ◽  
Actual Measure ◽  
Frequency Response Characteristics ◽  
The Difference

This paper proposes to verify and test the vibration of diesel’s undercarriage got by virtual measure and actual measure through the analysis of time domain characteristics and amplitude frequency response characteristics of three-orientation vibrant speed of diesel’s undercarriage, represents the difference in time domain characteristics and amplitude frequency response characteristics got by virtual measure and actual measure, expounds the reasons of difference and puts forward a method to diminution the difference. It proves that virtual measure can replace actual measure in a way, though there are some difference in existence, we can erase these difference to the best of ours’ abilities through enough analysis.

Amplitude Frequency Response Characteristics of Fe-Based Damping Alloy Simple Beams under Forced Vibrations

2011 ◽  
Vol 328-330 ◽  
pp. 1072-1076
Author(s):  
Shu Ke Huang ◽  
Dan Chen Zhou ◽  
Jian Hui Liu ◽  
Jin Teng ◽  
Ning Li
Keyword(s):  
Frequency Response ◽  
Forced Vibration ◽  
Forced Vibrations ◽  
Exciting Force ◽  
Damping Capacity ◽  
Resonance Amplitude ◽  
Response Characteristics ◽  
Amplitude Frequency Response ◽  
Wide Range ◽  
Frequency Response Characteristics

The amplitude frequency response characteristics of simple beams made by Fe-Mn damping alloy, Fe-Cr-Mo damping alloy and 0.45C-steel under forced vibrations were studied using forced vibration measurement instrument. The results indicated that at forced vibration condition, the damping behaviors of Fe-Mn and Fe-Cr-Mo alloy beams were that the resonance amplitude and the resonance frequency range were reduced. The higher the exciting force was, the better the damping capacity of Fe-Mn alloy beam was, so it was suitable for the environment where higher vibrating force and shock existed. Whatever the exciting force was high or low, the damping capacity of Fe-Cr-Mo alloy beam was higher than 0.45C-steel, so it was more suitable for the environment where the strain amplitude changed in a wide range.

A Dynamic Model of the Flapper-Nozzle Component of an Electrohydraulic Servovalve

1989 ◽  
Vol 111 (1) ◽  
pp. 105-109 ◽  
Author(s):  
S. J. Lin ◽  
A. Akers
Keyword(s):  
Dynamic System ◽  
Frequency Response ◽  
Dynamic Model ◽  
Dynamic Properties ◽  
Response Characteristics ◽  
Equilibrium Control ◽  
Flow Pressure ◽  
Frequency Response Characteristics ◽  
Design Characteristics ◽  
Full Design

An analysis has been conducted on the flapper-nozzle stage of a two-stage electrohydraulic controller that has been specifically designed to be a stable, stand-alone dynamic system. Calculations performed on equilibrium control pressures, stage gain, and frequency response characteristics agree with values obtained experimentally to within close limits. The analysis applies generally to a flapper-nozzle combination using any set of dimensions convenient for the designer. Flow-pressure equations and flapper dynamic properties have also been given to enable the designer to obtain full design characteristics.

Analysis of frequency response characteristics of polymer ultrasonic transducers

1992 ◽  
Vol 25 (3) ◽  
pp. 155
Author(s):  
H. Ohigashi ◽  
T. Itoh ◽  
K. Kimura ◽  
T. Nakanishi ◽  
M. Suzuki
Keyword(s):  
Frequency Response ◽  
Ultrasonic Transducers ◽  
Response Characteristics ◽  
Frequency Response Characteristics
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