... [4] Masri , S. F. , Chassiakos , A. G. , and Caughey , T. K. , 1993 , “ Identification of Nonlinear Dynamic Systems Using Neural Networks ,” ASME J. Appl. Mech. , 60 ( 1 ), pp. 123 – 133 . 10.1115/1.2900734 [5] Roehrl , M. A. , Runkler , T...

...Jianhao Man; Long Chen; Junjie He; Wei Hu; Kuihua Lu; Xiao-ang Liu This paper explores the influence of interstage torsional damping on the nonlinear dynamics of a two-stage planetary gear transmission system. A comprehensive nonlinear dynamic model is developed, incorporating interstage torsional...

...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...

... perturbation technique, under low Reynolds number and large wavelength approximations. The computed expression of the stream function and the velocity field are connected to the linear operator, which converts the results into a nonlinear dynamic system. The bifurcation theory is then used to describe how...

...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...

... perturbation range. e-mail:  zfcao@seu.edu.cn e-mail:  qgfei@seu.edu.cn e-mail:  jiangdong@njfu.edu.cn e-mail:  rzhu@seu.edu.cn e-mail:  jinhui@seu.edu.cn 27 04 2019 14 09 2020 29 10 2020 nonlinear dynamics transient response sensitivity analysis perturbation method...

...-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...

... ) ∂ u ˙ p ∂ q ˙ n = ∑ p = 1 P m p ( u ˙ p + u ˙ g ) ∂ u p ∂ q n Euler–Lagrange equation holonomic kinematic constraints nonlinear dynamics multibody dynamics Rigid-body systems are ubiquitous as subjects...

... 12 2018 29 03 2019 EECSW nonlinear manifolds ECSW hyper-reduction model order reduction structure-preserving nonlinear dynamics Galerkin projection In spite of the ever-increasing computational power and digital storage capabilities, reduced-order models (ROM) of FE...

....2017.08.004 [28] Vlajic , N. , Champneys , A. R. , and Balachandran , B. , 2017 , “ Nonlinear Dynamics of a Jeffcott Rotor With Torsional Deformations and Rotor-Stator Contact ,” Int. J. Nonlinear Mech. , 92 , pp. 102 – 110 . 10.1016/j.ijnonlinmec.2017.02.002 [29] Riasi...

...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...

.... 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. The present analytical-numerical approach may be better suited for a range of loading...

... not be attainable with the addition of even a small nonlinearity. 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 vibrations...

... practical indicators of the presence of a transversal crack for health monitoring purposes. The numerical results are mainly used to investigate the nonlinear dynamics of the cracked rotor system with fractional order damping and to confirm the significant effect of fractional order damping and crack...

... 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...

... with Newmark’s method and the fourth-order Runge–Kutta (Kutta 4) method are presented. The examples demonstrate the high accuracy and numerical efficiency of the proposed method. nonlinear dynamical systems numerical analysis polynomial approximation Runge-Kutta methods nonlinear dynamics time...