Complexity evaluation of nonlinear dynamic behavior of mechanisms with clearance joints by using the fractal method

2014 ◽  
Vol 228 (18) ◽  
pp. 3482-3495 ◽  
Author(s):  
Wuweikai Xiang ◽  
Shaoze Yan ◽  
Jianing Wu ◽  
Robert X Gao
Keyword(s):  
Dynamic Response ◽  
Dynamic Behavior ◽  
Nonlinear Dynamic ◽  
Correlation Dimension ◽  
Nonlinear Dynamic Response ◽  
Fractal Method ◽  
Motion Equations ◽  
Clearance Joints ◽  
Nonlinear Dynamic Characteristics ◽  
Crank Mechanism

Dynamic behavior of mechanisms with clearance joints often exhibits nonlinear dynamic characteristics due to the collisions between the journal and bearing. However, previous studies could not quantify the complexity of the dynamic response. In this paper, based on the Poincaré map and correlation dimension, a fractal method is proposed to evaluate the complexity of nonlinear dynamic response of mechanisms with clearance joints. Motion equations of mechanical systems with clearance joints are described. A slider–crank mechanism is employed to demonstrate the efficiency of the fractal method and to discuss the influence of the clearance size and crank speed on the complexity of the dynamic response.

Nonlinear Dynamic Response of Elastic Slider-Crank Mechanism

1971 ◽  
Vol 93 (1) ◽  
pp. 251-262 ◽  
Author(s):  
B. V. Viscomi ◽  
R. S. Ayre
Keyword(s):  
Dynamic Response ◽  
Dynamic Behavior ◽  
Nonlinear Dynamic ◽  
Connecting Rod ◽  
Nonlinear Dynamic Response ◽  
Dimensionless Parameters ◽  
Crank Angle ◽  
Crank Mechanism ◽  
Bending Response

An investigation of the vibratory bending response of the elastic connecting rod of a slider-crank mechanism is presented. The response of the system is found to be dependent upon five dimensionless parameters. These are classified as the length, mass, damping, external piston force, and frequency parameters; and the effects of these parameters on the response of the system are investigated. The dynamic behavior is described as graphs of nondimensionalized deflection versus crank angle. Solutions of the linear as well as the nonlinear forms of the equations are included.

Nonlinear Dynamic Behavior of Fixed Jacket-Type Offshore Platforms Subjected to Simultaneously Acting Wave and Earthquake Loads

2004 ◽  
Author(s):  
A. K. Etemad ◽  
A. R. M. Gharabaghi ◽  
M. R. Chenaghlou
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Dynamic Response ◽  
Dynamic Behavior ◽  
Persian Gulf ◽  
Nonlinear Dynamic ◽  
Longitudinal Component ◽  
Offshore Platforms ◽  
Nonlinear Dynamic Response ◽  
Earthquake Loads

The nonlinear dynamic response of jacket-type offshore platform (which has been installed in Persian Gulf) under simultaneously wave and earthquake loads is conducted. The interaction between soil and piles is modeled by Konagai-Nogami model. The structure is modeled by finite element method. The analyses include models with the longitudinal component of earthquake and wave in the same direction and in different directions. The results indicate that when the longitudinal component of earthquake and wave are in the same direction, wave may reduce the response of studied platform and when they are in different directions, in some cases there is an increase in the response of platform.

scholarly journals Nonlinear dynamic characteristics of SMA gripper under bounded noise

2019 ◽  
Vol 83 ◽  
pp. 01010
Author(s):  
Xin-Miao Li ◽  
Zhi-Wen Zhu ◽  
Qing-Xin Zhang
Keyword(s):  
Constitutive Model ◽  
Dynamic Response ◽  
Dynamic Model ◽  
Dynamic Characteristics ◽  
Nonlinear Dynamic ◽  
Vibration Amplitude ◽  
Random Disturbance ◽  
Bounded Noise ◽  
Nonlinear Dynamic Response ◽  
Nonlinear Dynamic Characteristics

A kind of constitutive model of SMA is proposed in this paper, and the nonlinear dynamic response of a SMA gripper under bounded noise is studied. The harmonic driving signals and the random disturbance made up of bounded noise. The dynamic model of the system is established by Hamilton principle. The numerical and experimental results show that there is stochastic resonance in the system; the system’s vibration amplitude reaches the most when the outside excitation is moderate.

NONLINEAR DYNAMIC RESPONSE AND CHAOS OF A CRACKED ROTOR WITH TWO DISKS

2003 ◽  
Vol 13 (11) ◽  
pp. 3425-3436 ◽  
Author(s):  
WEIYANG QIN ◽  
GUANG MENG
Keyword(s):  
Dynamic Response ◽  
Nonlinear Dynamic ◽  
Nonlinear Response ◽  
Damping Ratio ◽  
Crack Depth ◽  
Cracked Rotor ◽  
Nonlinear Dynamic Response ◽  
Motion Equations ◽  
Rotating Speed ◽  
Periodic Bifurcation

In this paper, the nonlinear response and chaos of a cracked rotor with two disks are studied. Considering the breadth of crack in one rotor revolution, the motion equations of the system are derived and then solved. The results show that the rotor response is sensitive to the crack depth, rotating speed, damping ratio and imbalance. When a crack occurs, the frequency of swing vibration is a multiple of rotating speed (NΩ,N=2,3,…). There are three main routes for response to chaos, that is from quasi-periodic to chaos, from quasi-periodic to quasi-periodic bifurcation and then to chaos and the intermittence to chaos. The intermittence chaos occurs even for a small crack. With the intermittence chaos range there exists the periodic-doubling bifurcation with time. Larger imbalance parameter and damping ratio can suppress chaos. The diagram of time-phase is a useful way to analyze the nonlinear response.

Influence of Lubricant Traction Coefficient on Cage's Nonlinear Dynamic Behavior in High-Speed Cylindrical Roller Bearing

2017 ◽  
Vol 139 (6) ◽  
Author(s):  
Wenhu Zhang ◽  
Sier Deng ◽  
Guoding Chen ◽  
Yongcun Cui
Keyword(s):  
Dynamic Response ◽  
Dynamic Behavior ◽  
Nonlinear Dynamic ◽  
High Speed ◽  
Roller Bearing ◽  
Mass Center ◽  
Nonlinear Dynamic Response ◽  
Traction Coefficient ◽  
Cylindrical Roller Bearing ◽  
Cylindrical Roller

In this paper, the formulas of elastohydrodynamic traction coefficients of four Chinese aviation lubricating oils, namely, 4109, 4106, 4050, and 4010, were obtained by a great number of elastohydrodynamic traction tests. The nonlinear dynamics differential equations of high-speed cylindrical roller bearing were built on the basis of dynamic theory of rolling bearings and solved by Hilber–Hughes–Taylor (HHT) integer algorithm with variable step. The influence of lubricant traction coefficient on cage's nonlinear dynamic behavior was investigated, and Poincaré map was used to analyze the influence of four types of aviation lubricating oils on the nonlinear dynamic response of cage's mass center. The period of nonlinear dynamic response of cage's mass center was used to assess cage's stability. The results of this paper provide the theoretical basis for selection of aviation lubricating oil.

Nonlinear Dynamic Behavior of a Motorcycle’s Forecarriage During Braking

2006 ◽  
Vol 129 (6) ◽  
pp. 837-844
Author(s):  
F. Braghin ◽  
M. Brembilla ◽  
G. Brambilla ◽  
M. Pezzola
Keyword(s):  
Numerical Model ◽  
Dynamic Response ◽  
Dynamic Behavior ◽  
Nonlinear Dynamic ◽  
Experimental Tests ◽  
Design Parameters ◽  
Numerical Experience ◽  
Flexural Mode ◽  
Nonlinear Dynamic Response ◽  
Braking System

An experimental and numerical experience was carried out to investigate the nonlinear dynamic response of the forecarriage of a motorcycle, paying attention to a particular type of vibration that occurs during the braking. In fact, it was found that, in particular conditions of load on the handlebar, braking pressure, speed and temperature, the first flexural mode of the front fork is strongly excited. Thanks to the numerical model, solutions to these undesired vibrations were identified. Experimental tests were carried out modifying the design parameters of the motorcycles and of the braking system as suggested by the numerical model thus verifying that the purposed solutions were effective.

Dynamic Response of the Fiber Metal Laminated (FML) Plate with Interfacial Damage in Unstable Temperature Field

2014 ◽  
Vol 490-491 ◽  
pp. 403-411
Author(s):  
Yi Ming Fu ◽  
Xue Fei Shao
Keyword(s):  
Dynamic Response ◽  
Nonlinear Dynamic ◽  
Constitutive Relations ◽  
Thin Layers ◽  
Interfacial Damage ◽  
Nonlinear Dynamic Response ◽  
Motion Equations ◽  
Nonlinear Motion ◽  
Fiber Metal ◽  
Unstable Temperature

During the past decades, increasing requirement in aircraft for high-performance, lightweight structures have caused strong interests on the development of fiber-metal laminates (FMLs), which are manufractured from thin layers of glass fibre reinforced composite and alluminium alloy. In this paper, the nonlinear dynamic response problem of the FML plate subjected to unstable temperature with interfacial damage is analyzed. Based on the weak bonded theory, the interfacial constitutive relations of the FML are constructed. According to the Hamiltons variance principle, the nonlinear motion equations of the FML with interfacial damages subjected to the unstable thermal field are obtained. And then, the finite difference, Newmark-and the iteration method are applied to solve the nonlinear motion equations. In the numerical examples, the effects of the interface damage, the amplitude and frequency of imposed loads and the temperature fields on the nonlinear dynamic response of the FML plates are investigated. And in conclusion, the effects of various type of temperature on the nonlinear dynamic response of FML plate are different obviously.

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