Analysis of Reversal Behavior for an Automobile Wiper Blade

Author(s):  
Yuki Takebe ◽  
Masatsugu Yoshizawa ◽  
Tuneo Akuto ◽  
Takeshi Yoda ◽  
Katuya Kamiyama

The development of a numerical simulation has been demanded for improving the automobile wiper systems from the industrial viewpoints. It is widely known that, however, vibrations caused by the wiping motion cause a trouble of wiping. Several studies have been carried out to investigate the dynamic behavior of the wiper systems. However, the phenomena have not yet been theoretically analyzed. The purpose of this research is to develop a numerical simulation of the reversal behavior of a wiper blade. To begin with, the experiment was conducted with the real wiper systems to observe the reversal behavior of the wiper blade. After observing its motion, an analytical model was developed to essentially characterize the wiper systems. The model is composed of a multi-degree-of-freedom spring-mass system with restraint conditions to ensure the contact between a blade and a wind-shield at all time. The dynamic motion and the mechanism of the reversal behavior of the wiper blade were investigated by using nonlinear equations. Furthermore, the above phenomena were discussed using the nonlinear equations of the vibration of the wiper blade from the viewpoint of the nonlinear dynamics.

2012 ◽  
Vol 510 ◽  
pp. 304-309 ◽  
Author(s):  
Yong Jiang Chen ◽  
Wen Cheng Tang ◽  
Shi Gen Zhang

In order to improve the vibration problem arise when rotational speed of a ball screw is increased, an analytical model is proposed to study the nonlinear dynamic behavior of the ball screw with preload considered. The contact force of each rolling element described according to nonlinear Hertzian contact deformation and the re-circulating mechanism has been taken in to account. A end-type ball screw is selected as an example, the methods of Runge-Kutta-fehlberg is used to solve the equations of motions numerically. It was found that the preload can be useful in controlling the vibration of the system,but the inhibit effect is not proportional to it,in the light of different type of ball screw, corresponding prevention preload is recommended.


Author(s):  
Rocco Alaggio ◽  
Giuseppe Rega

Abstract The role of experimental nonlinear dynamics in the proper reduced-order modeling of an elastic suspended cable undergoing finite-amplitude vibrations is analyzed. Two main aspects of the problem are addressed, namely (i) the number of discretizing functions to be used in a low-order finite-degree-of-freedom theoretical model in order to detect the main features of the observed nonlinear regimes, and (ii) the capability of different orthonormal function bases employed in a specific reduced-order model to reproduce complex regimes and bifurcation scenarios. Based on results of in-depth experimental investigations of a quasiperiodic scenario to chaos in a cable/mass system, a three-degree-of-freedom model of suspended cable is formulated, and different truncated bases of approximating functions are considered. They include standard linear normal modes, and proper orthogonal modal functions obtained from variable sets of experimental proper orthogonal modes identified in different intervals of the frequency range wherein the quasiperiodic scenario develops. The performances of the ensuing discretized models and their capability to qualitatively detect some main features of the actual regular and nonregular experimental responses are investigated through computer simulations.


Author(s):  
Masato Mizokami ◽  
Tsuneo Akuto ◽  
Takayuki Fukuda ◽  
Dai Yanagisawa ◽  
Masatsugu Yoshizawa

Automobile wiper systems provide a clear sight for drivers by creating a very thin layer of water about few dozen nano meters on a windshield. Several studies have been carried out to investigate the dynamic behavior of the wiper systems. However, there are few studies focused on reversal behavior of the wiper blade. Observation was conducted and analytical model is developed from the observation of the real wiper system. A water layer is considered in the analytical model between the wiper blade and the glass surface. The bottom of the model is assumed to always contact the water layer so that the fluid force is always applied. The dimensionless equations, which govern the wiping motion including the reversal behavior, were derived. The equations are discussed neglecting the nonlinear terms to understand the approximate movement and effect of the parameters. Moreover, the equation is solved numerically to obtain the time histories of the wiper blade. As a result, the effect of the fluid force, which acts on the wiper blade on the reversal behavior of the wiper blade, became clear.


Author(s):  
Lin Zhao ◽  
Weihao Meng ◽  
Zhongqiang Zheng ◽  
Zongyu Chang

AbstractTethered submerged buoy is used extensively in the field of marine engineering. In this paper considering the effect of wave, the nonlinear dynamics behavior of tethered submerged buoy is debated under wave loadings. According to Newton’s second law, the dynamic of the system is built. The coupling factor of the system is neglected, the natural frequency is calculated. The dynamic responses of the system are analyzed using Runge–Kutta method. Considering the variety of the steepness kA, the phenomenon of dynamic behavior can be periodic, double periodic and quasi-periodic and so on. The bifurcation diagram and the largest Lyapunov exponent are applied to judge the nonlinear characteristic. It is helpful to understand the dynamic behavior of tethered submerged buoy and design the mooring line of tethered submerge buoy.


Author(s):  
Ge Kai ◽  
Wei Zhang

In this paper, we establish a dynamic model of the hyper-chaotic finance system which is composed of four sub-blocks: production, money, stock and labor force. We use four first-order differential equations to describe the time variations of four state variables which are the interest rate, the investment demand, the price exponent and the average profit margin. The hyper-chaotic finance system has simplified the system of four dimensional autonomous differential equations. According to four dimensional differential equations, numerical simulations are carried out to find the nonlinear dynamics characteristic of the system. From numerical simulation, we obtain the three dimensional phase portraits that show the nonlinear response of the hyper-chaotic finance system. From the results of numerical simulation, it is found that there exist periodic motions and chaotic motions under specific conditions. In addition, it is observed that the parameter of the saving has significant influence on the nonlinear dynamical behavior of the four dimensional autonomous hyper-chaotic system.


Author(s):  
Alessandro Cammarata ◽  
Rosario Sinatra

This paper presents kinematic and dynamic analyses of a two-degree-of-freedom pointing parallel mechanism. The mechanism consists of a moving platform, connected to a fixed platform by two legs of type PUS (prismatic-universal-spherical). At first a simplified kinematic model of the pointing mechanism is introduced. Based on this proposed model, the dynamics equations of the system using the Natural Orthogonal Complement method are developed. Numerical examples of the inverse dynamics results are presented by numerical simulation.


2013 ◽  
Vol 13 (01) ◽  
pp. 1350010 ◽  
Author(s):  
IOANNIS G. RAFTOYIANNIS ◽  
GEORGE T. MICHALTSOS

Telescopic cranes are usually steel beam systems carrying a load at the tip while comprising at least one constant and one moving part. In this work, an analytical model suitable for the dynamic analysis of telescopic cranes boom is presented. The system considered herein is composed — without losing generality — of two beams. The first one is a jut-out beam on which a variable in time force is moving with constant velocity and the second one is a cantilever with length varying in time that is subjected to its self-weight and a force at the tip also changing with time. As a result, the eigenfrequencies and modal shapes of the second beam are also varying in time. The theoretical formulation is based on a continuum approach employing the modal superposition technique. Various cases of telescopic cranes boom are studied and the analytical results obtained in this work are tabulated in the form of dynamic response diagrams.


Author(s):  
Aleš Tondl ◽  
Horst Ecker

Abstract The possibility of cancelling self-excited vibrations of a mechanical system using parametric excitation is discussed. A two-mass system is considered, with the top mass excited by a flow-generated self-exciting force. The parameter of the connecting stiffness between the base mass and the foundation is a harmonic function of time and represents a parametric excitation. For such a system general conditions for full vibration cancelling are derived and presented. By means of numerical simulation the system is investigated for several sets of parameters. The theoretical results are found to be in very good agreement with the results obtained by simulation. Parameter variations show the extent of the parameter space where significant vibration cancelling can be achieved and illustrate possible applications.


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