... on stability within the interaction range between the mode shapes (Fig. 10 ). The authors attest that all data for this study are included in the paper. No data, models, or code were generated or used for this paper. References [1] Ibrahim , R. , 1994 , “ Friction-Induced Vibration...

...Vishal Vyas; Prasanna Gandhi Nonlinear energy interaction is a fascinating feature of nonlinear oscillators and has been drawing the attention of researchers since the last few decades. Omnipresent friction in mechanical systems can play a crucial role in modifying these interactions. Using post...

... bodies. The other is due to friction-induced, self-excited vibration of a pantograph-catenary system. The former has been studied extensively, and some of the works on this topic are reviewed below. Friction coupling is generally considered to be a main cause of self-excited vibration...

... snubbing mechanisms as well, such as friction snubbing. Two of the four models presented in this paper use the Bouc–Wen model in order to capture hysteresis and gradual stiffening behavior, which is generally exhibited by elastomeric snubbing systems. The other two models are relatively simplistic and do...

... automatically in the super-critical speed range. However, this device is not used widely due to two malfunctions. One is the influence of friction. Due to the inevitable friction between the balls and the inside wall of the channel, the balls stop near the optimal positions and do not balance the rotor...

...C. K. Babu; N. Tandon; R. K. Pandey Nonlinear vibration analysis of angular contact ball bearings supporting a rigid rotor is presented herein considering the frictional moments (load dependent and load independent components of frictional moments) in the bearings. Six degrees of freedom (DOF...

... by combining linear piezomagnetic relations for Terfenol-D and a lumped parameter mechanical system model describing the system vibrations. Friction at the fluid seals is described by the LuGre model. The model accurately describes the frequency-domain behavior of the actuator in mechanically-blocked...

... for the minimum fastener preload required for preventing self-loosening. The effect of several key variables is investigated; this includes bearing and thread friction coefficients, cap screw grip length, thread pitch, material, and cyclic amplitude of the transverse excitation. An experimental setup and test...

... for radial, bending, and torsion motions of a flexible drill string and stick-slip interactions between the drill string and an outer shell. Qualitative changes in the system motions are studied with respect to the rotation speed of the drill string and the friction coefficient between the drill string...

...Michael A. Guthrie; Daniel C. Kammer A reduction procedure for joint models that was developed in earlier work is extended to allow for relative motion between surfaces, and the effect of this procedure on timestep issues is considered. A general one-dimensional structure containing a frictional...

... includes discontinuous friction, is highly nonlinear and has to be linearized around an operating point in order to use μ -synthesis. The difference between the linear and nonlinear models is characterized in terms of uncertainty weights and included in the control design process. The designed controller...

... subsystem and some related systems. With sufficient numbers of included trial functions and harmonic terms, convergent and accurate results are obtained in all the cases. The effect of nonlinearities due to the vibration-dependent friction force between the translating beam and the stationary load subsystem...

...Guo Xu-Xia; Wang Zhong-Min The thermoelastic coupling vibration characteristics of the axially moving beam with frictional contact are investigated. The piecewise differential equation of motion for the axially moving beam in the thermoelastic coupling case and the continuous conditions...

...Fabrice Chevillot; Jean-Jacques Sinou; Nicolas Hardouin; Louis Jezequel This paper deals with the simulation of nonlinear vibration induced by friction in an aircraft braking system. Experimental tests reveal that in similar experimental conditions the mechanism can generate vibrations of various...

...Denis Laxalde; Fabrice Thouverez; Jean-Pierre Lombard This paper investigates a damping strategy for integrally bladed disks (blisks) based on the use of friction rings. The steady-state forced response of the blisk with friction rings is derived using the so-called dynamic Lagrangian frequency...

...Rajaey Kased; Tarunraj Singh A linear programming approach designed to eliminate the residual vibration of the two-mass harmonic system subject to friction and undergoing a point-to-point maneuver is proposed and implemented on an experimental test bed. Techniques for design of positive pulse...

...Y. Q. Sun; C. Cole A two-dimensional finite element model (2D FEM) has been developed to improve the modeling and understanding of the friction damping characteristics of freight bogie suspensions. The specific suspension considered utilizes friction dampers with constant preload force...

...O. Vahid; N. Eslaminasab; M. F. Golnaraghi Lead screw mechanisms are used to convert rotary to linear motion. The velocity-dependent coefficient of friction at the contact between lead screw and nut threads can lead to self-excited vibrations, which may result in excessive noise generated...

... of the friction existing in every actuator. Therefore, in this paper, the friction force of the single actuator is taken into account and is described by a bilinear hysteresis model. With this friction force model, a new nonlinear model of the octostrut vibration isolation platform is established. Meanwhile...

...Hiroshi Yabuno; Yota Kunitho; Takuma Kashimura The effect of Coulomb friction on the nonlinear dynamics of a van der Pol oscillator is presented. A map from the magnitude of a peak to that of the succeeding valley in the time history is analytically described by considering both the exponential...