...P. K. Kankar; Satish C. Sharma; S. P. Harsha In this paper the nonlinear dynamic responses of a rigid rotor supported by ball bearings due to surface waviness of bearing races are analyzed. A mathematical formulation has been derived with consideration of the nonlinear springs and nonlinear damping...

...Alan M. Whitman; Hashem Ashrafiuon; Kenneth R. Muske An analytical stability analysis of the steady trajectory for a surface vessel with various damping models is presented in this work. The analysis is based on a control-oriented, three degrees-of-freedom model that considers vessel motion only...

.... In the current paper, axial stiffness and damping are included, and a more realistic model is obtained. In the dynamic analysis of the drill string model, the separation in time scales between the fast axial dynamics and slow torsional dynamics is exploited. Therefore, the fast axial dynamics, which exhibits...

...Junyi Cao; Chengbin Ma; Hang Xie; Zhuangde Jiang In this paper, nonlinear dynamics of Duffing system with fractional order damping is investigated. The fourth-order Runge–Kutta method and tenth-order CFE-Euler method are introduced to simulate the fractional order Duffing equations. The effect...

... – 803 . 10.1115/1.3254824 Nelson , H. D. , and Meacham , H. , 1981 , “ Transient Analysis of Rotor-Bearing System Using Component Mode Synthesis ,” ASME Paper No. 81-GT-10. A π D L area for heat transfer ( m 2 ) C damping matrix...

... by reducing the flexible degrees of freedom of a rack used for active vibration damping of a scanning tunneling microscope. 15 01 2009 12 05 2009 14 05 2010 14 05 2010 damping eigenvalues and eigenfunctions flexible structures matrix algebra reduced order systems scanning...

... at modulated amplitudes. The dotted lines drawn in orange represent the backbone curves, which are calculated using Eq. 7 without damping and excitation. The natural frequency p of the corresponding linear system can be calculated by 9 | k 0 + k 1 + k 2 − μ 0 p 2...

... ,     α 1 = χ / M ,     β 1 = b 1 / d 1 where M is the mass of the system including the added mass, c is the damping constant, and χ is the stiffness defined by χ = 2 E A / d 1 2 + b 1 2 (where E A is elastic cable force...

...Jorge Luis Palacios Felix; José Manoel Balthazar; Reyolando M. L. R. F. Brasil; Bento Rodrigues Pontes, Jr. In this paper, a nonideal mechanical system with the LuGre friction damping model is considered. The mechanical model of the system is an oscillator not necessarily linear connected...

... tool is modeled as a flexible multibody system model including a nonlinear flatness-based position control. Both the combination of a frequency shaped linear quadratic regulator with an active damping concept in a high authority control/low authority control approach and the H 2 optimal control...

...S. N. J. Costa; J. M. Balthazar The purpose of this work is to investigate the control of the oscillations and the suppression of vibrations in damped and coupled oscillators. In this sense, we look into the potential of using a nonlinear energy sink in combination with an optimal linear control...

... treated to bring the velocity dependent nonlinear hydrodynamic damping term to the left hand side of the equation of motion. Use of these two techniques makes the equation of motion amenable to the application of method IHBC. In order to trace different branches of the response curve and investigate...

...Zsolt Szabó; Attila Lukács The current paper investigates the nonlinear stationary oscillations of a quarter vehicle model with two degrees of freedom subjected to a vertical road excitation. The damping of the wheel suspension has a bilinear characteristic, so that the damping strength is larger...

... and C is the damping matrix; the f j are (nonlinear) forces acting between node pair j of the system; and f is the vector of external loads. The nonlinear interface force f j is a function of the distance s j between node pair j (the s j...

...Mohammad I. Younis; Ali H. Nayfeh We present a new method for simulating squeeze-film damping of microplates actuated by large electrostatic loads. The method enables the prediction of the quality factors of microplates under a limited range of gas pressures and applied electrostatic loads up...

...X. Fang; J. Tang Granular damping, which possesses promising features for vibration suppression in harsh environments such as in turbo-machinery and spacecraft, has been studied using empirical analysis and more recently using the discrete element method (DEM). The mechanism of granular damping...

... parameters through significant nonlinear damage. The significant nonlinear damage implied includes effects from loose bolted joints, dry frictional damping, large articulated motions, etc. Note that currently most damage detection algorithms in structures are based on finding changed stiffness parameters...

... – 105 . Luo , A. C. J. , and Gegg , B. C. , 2005 , “ Grazing Phenomena in a Periodically Forced, Friction-Induced, Linear Oscillator ,” Commun. Nonlinear Sci. Numer. Simul. (in press). Den Hartog , J. P. , 1931 , “ Forced Vibrations with Coulomb and Viscous Damping...

... absorb energy from a linear nonconservative system (damped) structure to a nonlinear attachment weakly coupled to the linear one. This rapid and irreversible transfer of energy, named energy pumping, is studied by taking into account uncertainties on parameters, especially damping (since damping plays...

... natural frequency depends on the spin rate), forced by harmonic excitation at a frequency proportional to the spin rate. (Examples of these response curves are given later, when used for comparison purposes.) At resonance the response will be limited in amplitude by the (typically very small) damping...