...B. M. Ravi Raj; Sandeep Singh; Kiran D. Mali; Priyansh Singh Nonlinear dynamic response of some noncarbon nanomaterials, involving material and geometric nonlinearities under different types of dynamic loads, is investigated using computationally efficient multiscale modeling. Multiscale-based...

...Giuseppe Rega Starting from a recent classification of the development stages of nonlinear dynamics in mechanics, this review builds on the idea that the level of scientific maturity of the area is now such as to involve a gradual shift of its core interests from the inherent theoretical...

...Dawei Liu; Guohao Zhao; Zhanglei Fu; Xin Jin Noncircular face gear (NFG) is a new type of variable transmission ratio gear mechanism. Based on nonlinear dynamic theory of gear, the rattling behavior of the NFG under multifrequency excitation was studied. The generalized transmission ratio function...

... . nonlinear dynamics bifurcation heteroclinic and homoclinic orbits peristalsis non-Newtonian heat and mass transfer non-uniform channel streamline topologies trapping different wave forms The development of mathematical models for the peristaltic transport of non-Newtonian fluids with heat...

...Franco E. Dotti; Juan N. Virla In this article, nonlinear dynamics tools are employed to quantify the ability of pendulum harvesters to recover energy from the sea waves. The versatility of pendulum harvesters is highlighted, as it is shown that devices can be scaled to produce usable energy from 6...

... are executed in matlab to compute Δ 0 , which conveys that the nonlinear dynamics of each industrial example is very sensitive to input perturbations at different linear approximations. In addition to the identified metric, nonlinear lemmas are framed to select appropriate control schemes for the processes...

... ) 3 + c nl 4 ( x ̇ 4 − x ̇ 2 ) 3 0 ] Instituting these system parameters into Eq. (5) , the Newton–Raphson iteration format is applied to compute the nonlinear dynamic responses over the time [ t n , t n +1 ], and the convergent tolerance...

...-of-freedom nonlinear dynamic model of a spur microsegment gear pair. To improve the accuracy of simulation results, the time-varying mesh stiffness and the time-varying pressure angle are expressed in terms of piecewise Fourier functions, respectively. The effect of mesh frequency, backlash, mesh damping...

..., 2019; published online July 15, 2019. Assoc. Editor: Zdravko Terze. 21 10 2018 21 06 2019 Euler–Lagrange equation holonomic kinematic constraints nonlinear dynamics multibody dynamics Rigid-body systems are ubiquitous as subjects of study in physics and engineering...

... [2] Tiso , P. , and Rixen , D. J. , 2013 , “ Discrete Empirical Interpolation Method for Finite Element Structural Dynamics ,” Topics in Nonlinear Dynamics, Volume 1 , G. Kerschen, D. Adams, and A. Carrella, eds., Vol. 35, Springer , New York . [3] Chaturantabut , S. , Beattie...

... OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received September 12, 2018; final manuscript received March 27, 2019; published online May 13, 2019. Assoc. Editor: Tsuyoshi Inoue. 12 09 2018 27 03 2019 hydroelectric generating system shaft vibration nonlinear dynamics load...

...Patrick Gelß; Stefan Klus; Jens Eisert; Christof Schütte A key task in the field of modeling and analyzing nonlinear dynamical systems is the recovery of unknown governing equations from measurement data only. There is a wide range of application areas for this important instance of system...

... rehabilitative efforts for more effective recovery from these injuries. The breaking of symmetry is an important topic of investigation in terms of fault correction. Analytical and numerical nonlinear dynamics analysis techniques have been used to study such systems, for example, in bladed disc assembly...

... case, the system can be described in terms of just five parameters. To complement the center manifold and normal form analyses were carried out in other studies [ 6 , 11 ], here, it is shown that the method of multiple scales can be used to obtain insights into the engine's nonlinear dynamics...

.... Finally, the vibration response becomes chaos after s = 0 . 66 . Fig. 30 Waterfall of the cracked rotor in horizontal direction Fig. 31 Waterfall of the cracked rotor in vertical direction The nonlinear dynamic behaviors of the fractionally damped crack rotor system...

... and the nonlinear dynamic behaviors of the system are analyzed. In addition, the simulation results of the coupled model are compared to those of the uncoupled traditional model. It is found that with the increase of harmonic road surface roughness amplitude, the vehicle body’s vertical response is always periodic...

...Fábio Roberto Chavarette; José Manoel Balthazar; Jorge L. P. Felix This paper considers a nonlinear dynamics of a particular structure coupled (or uncoupled) to an essentially nonlinear oscillator. We used an optimal linear control design to reduce the amplitude of oscillations and to expand energy...

... in Nonlinear Dynamics: A Simple Implicit Time Integration Scheme ,” Comput. Struct. 0045-7949 , 85 , pp. 437 – 445 . 10.1016/j.compstruc.2006.09.004 Bathe , K. J. , and Wilson , E. L. , 1976 , Numerical Methods in Finite Element Analysis , Prentice-Hall , Englewood Cliffs, NJ...

...Liming Dai; Guoqing Wang The present research intends to investigate the characteristics of the periodicity ratio and its implementation in analyzing the nonlinear behavior of dynamic systems governed by second-order differential equations. Numerical analyses on the nonlinear dynamic systems...

...Albert C. J. Luo In this paper, the global transversality and tangency in two-dimensional nonlinear dynamical systems are discussed, and the exact energy increment function ( L -function) for such nonlinear dynamical systems is presented. The Melnikov function is an approximate expression...