... not been exhibited in existing investigations on nonlinear vibrations of gear transmission systems. Nonlinear phenomena and resonances of the gear transmission system are revealed by considering different numbers of degrees-of-freedom of the system. The bifurcations containing saddle-node, period-doubling...

... nonlinear vibration Stick-slip motion has serious and undesirable consequences, such as vibration and noise, high energy loss, surface damage, and component failure in a wide range of the mechanical system, especially for the brake system [ 1 ]. This type of dysfunction was mainly investigated using...

... multifield coupled nonlinear vibration molecular force A sensor is a detection device capable of changing the measured information into an electrical signal [ 1 ]. With the development of microelectromechanical systems technology, microsensors are becoming more and more important and are widely...

... June 30, 2015. Assoc. Editor: Carmen M. Lilley. 11 03 2013 25 05 2015 30 06 2015 In this paper, nonlinear vibration of a single-walled carbon nanotube (SWCNT) with simply supported ends is investigated based on von Karman's geometric nonlinearity and nonlocal shell theory...

...Jian Jiang; Zhao-Qing Wang; Jian-Hua Wang; Bing-Tao Tang In this article, a powerful computational methodology, named as barycentric rational interpolation iteration collocation method (BRICM), for obtaining the numerical solutions of nonlinear vibration problems is presented. The nonlinear...

.... In general, there are 2 N stable patterns of oscillations for an N -pendulum array, and ILMs are expected to appear in 2 N   − 2 patterns. intrinsic localized mode nonlinear vibration pendulum array harmonic oscillation frequency response curve bifurcation set Hopf bifurcation amplitude...

... localized mode nonlinear vibration harmonic oscillation frequency response curve basin of attraction bifurcation set Hopf bifurcation amplitude modulated motion chaotic vibration Intrinsic localization modes (ILMs) are observed in nonlinear multi-degree-of-freedom (MDOF) systems consisting...

... , “ Vibration Suppression of Elastic Structures Utilizing Internal Resonance of Liquid Sloshing in a Rectangular Tank ,” Proceedings of the ASME 2010 PVP/ K-PVP Conference , Bellevue, WA , July 18–22 , pp. 1 – 10 . [12] Stoker , J. J. , 1950 , Nonlinear Vibrations , John Wily & Sons , New...

...Takashi Ikeda Nonlinear vibrations of an elastic structure with two partially filled liquid tanks subjected to horizontal harmonic excitation are investigated. The natural frequencies of the structure and sloshing satisfy the tuning condition 1:1:1 when tuned liquid dampers are used. The equations...

... results. In experiments, the imperfections of the two pendula were taken into consideration, and the validity of the theoretical analysis was confirmed. 29 09 2009 10 06 2010 05 10 2010 05 10 2010 bifurcation pendulums shock absorbers vibrations nonlinear vibration...

... nonlinear vibration two degrees of freedom analytical solution homotopy analysis method homotopy Padé technique Vibrations of many practical engineering systems can be studied by considering them as 2DOF models. Examples include vibrations of elastic beams supported by two springs, milling...

... (structures) polynomials vibrations laminated composite plates nonlinear vibration patch loading p -type formulation stresses Laminated composite plates have been used quite extensively in aerospace, marine, nuclear, and other industries because of their superior strength to weight ratio...