Nonlinear Vibration Mechanism and Chaotic Behavior of Large Space Rotating Flexible Arms

2020 ◽  
Author(s):  
Xinhua Zhao ◽  
Jiahao Wang ◽  
Lei Zhao ◽  
Bin Li
Keyword(s):  
Nonlinear Vibration ◽  
Chaotic Behavior ◽  
Large Space ◽  
Vibration Mechanism ◽  
Flexible Arms

scholarly journals Characterization of Chaotic Behavior in Nonlinear Vibration Systems. Applications of the Method of Statistical Mechanics.

1992 ◽  
Vol 58 (552) ◽  
pp. 2357-2364 ◽  
Author(s):  
Keijin SATO ◽  
Sumio YAMAMOTO ◽  
Katsutoshi YOSHIDA ◽  
Tatsuo OKIMURA ◽  
Hirokazu ISHII
Keyword(s):  
Statistical Mechanics ◽  
Nonlinear Vibration ◽  
Chaotic Behavior

The Influence of Road Bumps Characteristics on the Chaotic Vibration of a Nonlinear Full-Vehicle Model with Driver

2016 ◽  
Vol 26 (09) ◽  
pp. 1650151 ◽  
Author(s):  
J. Fakhraei ◽  
H. M. Khanlo ◽  
M. Ghayour ◽  
Kh. Faramarzi
Keyword(s):  
Nonlinear Vibration ◽  
Ride Comfort ◽  
Chaotic Behavior ◽  
Speed Control ◽  
Vehicle Body ◽  
The Road ◽  
Chaotic Vibrations ◽  
Vehicle System ◽  
Road Speed ◽  
The Relationship

In this paper, the chaotic behavior of a ground vehicle system with driver subjected to road disturbances is studied and the relationship between the nonlinear vibration of the vehicle and ride comfort is evaluated. The vehicle system is modeled as fully nonlinear with seven degrees of freedom and an additional degree of freedom for driver (8-DOF). The excitation force is the road irregularities that are assumed as road speed control bumps. The sinusoidal, consecutive half-sine and dented-rectangular waveforms are considered to simulate the road speed control bumps. The nonlinearities of the system are due to the nonlinear springs and dampers that are used in the suspension system and tires. The governing differential equations are extracted under Newton–Euler laws and solved via numerical methods. The chaotic behaviors were studied in more detail with special techniques such as bifurcation diagrams, phase plane portrait, Poincaré map and Lyapunov exponents. The ride comfort was evaluated as the RMS value of the vertical displacement of the vehicle body and driver. Firstly, the effect of amplitude (height) and frequency (vehicle’s speed) of these speed control bumps on chaotic vibrations of vehicle are studied. The obtained results show that various forms of vibrations, such as periodic, subharmonic and chaotic vibrations, can be detected in the system behavior with the change of the height and frequency of speed control bumps and present different types of strange attractors in the vehicle with and without driver. Then, the influence of nonlinear vibration on ride comfort and the relationship between chaotic vibrations of the vehicle and driving comfort are investigated. The results of analyzing the RMS diagrams reveal that the chaotic behaviors can directly affect the driving comfort and lead to the driver’s comfort being reduced. The obtained results can be used in the design of vehicle and road bumps pavement.

scholarly journals Nonlinear Vibration Mechanism of the Marine Rotating Machinery with Airbag Isolation Device under Heaving Motion

2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
Xiaolei Du ◽  
Ming Li
Keyword(s):  
Nonlinear Vibration ◽  
Mechanical System ◽  
Dynamic Characteristics ◽  
Vibration Isolation ◽  
Rotating Machinery ◽  
Largest Lyapunov Exponent ◽  
Rotor Speed ◽  
Mass Unbalance ◽  
Vibration Mechanism ◽  
Isolation Device

In this paper, we put an investigation into the nonlinear vibration mechanism of the marine rotating machinery with an airbag isolation device under heaving motion. First, we consider the effects of mass unbalance and heaving motion and propose a mathematical model of the marine rotating mechanical system with airbag vibration isolation. Then, the multiple-scale method is conducted to analyze the nonlinear dynamic characteristics of the mechanical system; the frequency-response curves are mainly studied under different parameters, such as the heave excitation, rotor speed, and damping; and the numerical method is also introduced to analyze its dynamic behaviors, such as the steady-state response and its corresponding phase diagram, Poincaré section. The dynamic stability of the system is investigated based on the bifurcations and the largest Lyapunov exponent about rotor speed and heaving frequency. The obtained results indicate complex nonlinear characteristics of the system compared to the system without heaving excitation, which can help us fully understand the dynamic characteristics and parametric optimization as well as structural design of the marine mechanical isolation system.

Nonlinear Vibration Suppression for Flexible Arms via Modal Coupling

2017 ◽  
Vol 17 (03) ◽  
pp. 1771004
Author(s):  
Yushu Bian ◽  
Zhihui Gao ◽  
Ming Fan
Keyword(s):  
Nonlinear Vibration ◽  
Dynamic Systems ◽  
Vibration Suppression ◽  
Oscillatory System ◽  
Dynamic Responses ◽  
Enhancement Effect ◽  
Joint Motion ◽  
Flexible Arm ◽  
Modal Coupling ◽  
Flexible Arms

Modal coupling is an important characteristic of most nonlinear dynamic systems. Although the existence of modal coupling can make the dynamic responses of a system quite complicated, it can be utilized to provide potential solutions to regulate nonlinear vibration. In this paper, the mechanism of modal coupling is used as a means to suppress vibration of a flexible arm undergoing joint motion. A secondary oscillatory system is attached to the flexible arm to generate appropriate modal coupling. Via this nonlinear coupling, internal resonance can be successfully induced and used to transfer vibration energy from the flexible arm to the vibration absorber. Moreover, the damping enhancement effect is studied, which is found to help suppressing vibrations. The feasibility of the idea presented herein has been demonstrated in the numerical simulations.

Numerical Analysis of the Vibration of Pipes Conveying Fluid under the Influence of Vertical Branch

2013 ◽  
Vol 655-657 ◽  
pp. 620-624
Author(s):  
Xiao Yang Wang ◽  
Zheng Zhou ◽  
Xing Pei Liu
Keyword(s):  
Nonlinear Vibration ◽  
Reference Data ◽  
Rational Selection ◽  
Safety Hazards ◽  
Vibration Mechanism ◽  
Pipes Conveying Fluid ◽  
Working Parameters ◽  
Vibration Damage ◽  
Conveying Fluid ◽  
Selection Of

Nonlinear vibration damage of pipes conveying fluid is a major problem in today’s production and life. Enormous economic loses and safety hazards were caused by nonlinear vibration. Pipes conveying fluid with various branches are very common in actual engineering. Their mechanical properties and vibration mechanism is quite different from that of pipes conveying fluid without branches. This paper showed the nonlinear vibration mechanism of pipes conveying fluid with vertical branches and nonlinear vibration damage factors. Nonlinear vibration theory was used to check the pipeline and some reference data for the rational selection of working parameters were provided.

scholarly journals Analysis of Nonlinear Vibration of Hard Coating Thin Plate by Finite Element Iteration Method

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Hui Li ◽  
Liu Ying ◽  
Wei Sun
Keyword(s):  
Finite Element ◽  
Nonlinear Vibration ◽  
Thin Plate ◽  
Iteration Method ◽  
Composite Plate ◽  
Hard Coating ◽  
Polynomial Method ◽  
Coating Composite ◽  
Vibration Mechanism ◽  
Strain Dependent

This paper studies nonlinear vibration mechanism of hard coating thin plate based on macroscopic vibration theory and proposes finite element iteration method (FEIM) to theoretically calculate its nature frequency and vibration response. First of all, strain dependent mechanical property of hard coating is briefly introduced and polynomial method is adopted to characterize the storage and loss modulus of coating material. Then, the principle formulas of inherent and dynamic response characteristics of the hard coating composite plate are derived. And consequently specific analysis procedure is proposed by combining ANSYS APDL and self-designed MATLAB program. Finally, a composite plate coated with MgO + Al2O3is taken as a study object and both nonlinear vibration test and analysis are conducted on the plate specimen with considering strain dependent mechanical parameters of hard coating. Through comparing the resulting frequency and response results, the practicability and reliability of FEIM have been verified and the corresponding analysis results can provide an important reference for further study on nonlinear vibration mechanism of hard coating composite structure.

Experimental Investigation of Nonlinear Vibration Absorbers

1999 ◽  
Author(s):  
Gregory S. Agnes
Keyword(s):  
Experimental Investigation ◽  
Nonlinear Systems ◽  
Nonlinear Vibration ◽  
Chaotic Behavior ◽  
System Response ◽  
Hopf Bifurcations ◽  
Vibration Absorbers ◽  
Nonlinear Case ◽  
Nonlinear Absorber ◽  
Poor Absorption

Abstract An experimental investigation of the performance of nonlinear vibration absorbers on nonlinear systems was performed. The results verify the previous analytical findings of the authors. Initially, for low excitation, the nonlinear absorber gives better results than the nonlinear case. However as the forcing level is increased, the system response undergoes a series of Hopf bifurcations leading to chaotic behavior and poor absorption of the vibrations.

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