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Related papers: Nonlinear Vibration in Gear Systems

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In recent years, a new method for experimental nonlinear modal analysis has been developed, which is based on the extended periodic motion concept. The method is well suited to experimentally obtain amplitude-dependent modal properties…

Systems and Control · Electrical Eng. & Systems 2021-08-16 Maren Scheel

We investigate the ultraslow structural relaxation of ageing foams with rheologically-tunable continuous phases. We probe the bubble dynamics associated with pressure-driven foam coarsening using differential dynamic microscopy, which…

Soft Condensed Matter · Physics 2024-05-20 Chiara Guidolin , Emmanuelle Rio , Roberto Cerbino , Anniina Salonen , Fabio Giavazzi

We show the possibility of controlling the dynamical behavior of a single fiber ring (SFR) resonator system with the fiber being an amplified (gain) channel and the ring being attenuated (loss) nonlinear dielectric medium. Our model is…

Chaotic Dynamics · Physics 2017-10-25 Jyoti P. Deka , Samit Kumar Gupta , Amarendra K. Sarma

This study focuses on extending the concept of weak signal enhancement from dynamical systems based on vibrational resonance of nonlinear systems, to non-smooth systems. A Van der Pol- Duffing oscillator with a one-sided barrier, subjected…

Chaotic Dynamics · Physics 2024-07-26 Somnath Roy , Sayan Gupta

The present paper deals with the identification of nonlinear mechanical vibrations. A grey-box, or semi-physical, nonlinear state-space representation is introduced, expressing the nonlinear basis functions using a limited number of…

Systems and Control · Computer Science 2018-05-01 Jean-Philippe Noël , Johan Schoukens

The dipteran flight mechanism of the insects is commonly used to design the nonlinear flight robot system. However, the dynamic response of the click mechanism of the nonlinear robot system with multiple stability still unclear. In this…

Robotics · Computer Science 2024-01-02 Yanwei Han , Zijian Zhang

The stochastic dynamics of orthogonal metal cutting with both regenerative and nonsmooth frictional effects are investigated numerically in this paper. The shortcomings of neglecting nonsmoothness in frictional and stochastic effects in…

Chaotic Dynamics · Physics 2026-05-20 Meiyazhagan Jaganathan , Vikram Pakrashi , Aasifa Rounak

Synchronisation and stability under periodic oscillatory driving are well-understood, but little is known about the effects of aperiodic driving, despite its abundance in nature. Here, we consider oscillators subject to driving with slowly…

Adaptation and Self-Organizing Systems · Physics 2018-05-09 Maxime Lucas , Julian Newman , Aneta Stefanovska

This paper investigates the effects of geometric nonlinearity and structural flexibility on the flight dynamics of high-aspect-ratio wings representative of high-altitude long endurance aircraft configurations. A coupled aeroelastic flight…

Computational Engineering, Finance, and Science · Computer Science 2026-04-16 Nikolaos D. Tantaroudas , Ilias Karachalios

Non linear dynamic behaviour of a normally excited preloaded Hertzian contact (including possible contact losses) is investigated using an experimental test rig. It consists on a double sphere plane contact loaded by the weight of a rigid…

Classical Physics · Physics 2016-08-14 Joël Perret-Liaudet , Emmanuel Rigaud

Can we conclude the stability of an unknown dynamical system from the knowledge of a finite number of snapshots of trajectories? We tackle this black-box problem for switched linear systems. We show that, for any given random set of…

Optimization and Control · Mathematics 2018-07-24 Joris Kenanian , Ayca Balkan , Raphael M. Jungers , Paulo Tabuada

Inverse dynamics is used extensively in robotics and biomechanics applications. In manipulator and legged robots, it can form the basis of an effective nonlinear control strategy by providing a robot with both accurate positional tracking…

Robotics · Computer Science 2016-08-05 Samuel Zapolsky , Evan Drumwright

Many modern engineering structures exhibit nonlinear vibration. Characterizing such vibrations efficiently is critical to optimizing designs for reliability and performance. For linear systems, steady-state vibration occurs only at the…

Dynamical Systems · Mathematics 2024-05-02 Justin H. Porter , Matthew R. W. Brake

This paper presents a theoretical study on the influence of a discrete element in the nonlinear dynamics of a continuous mechanical system subject to randomness in the model parameters. This system is composed by an elastic bar, attached to…

Statistical Mechanics · Physics 2021-05-24 Americo Cunha , Rubens Sampaio

In the aerospace industry the trend for light-weight structures and the resulting complex dynamic behaviours currently challenge vibration engineers. In many cases, these light-weight structures deviate from linear behaviour, and complex…

Pattern Formation and Solitons · Physics 2018-03-14 F. Fontanela , A. Grolet , L. Salles , A. Chabchoub , N. Hoffmann

Nonlinear effects were observed in a forced vibrating string. The motion of the string becomes elliptic as the amplitude of the vibration increases. The fundamental resonance frequency depends on the amplitude of the vibration. At…

Physics Education · Physics 2007-05-23 Miguel C. Brito , Jorge Maia Alves , Joao M. Serra , Antonio Vallera

In the present work, we consider nonlinear control systems for which there exist structural obstacles to the design of classical continuous backstepping feedback laws. We conceive feedback laws such that the origin of the closed-loop system…

Optimization and Control · Mathematics 2015-08-12 Humberto Stein Shiromoto , Vincent Andrieu , Christophe Prieur

Shear banding and stick-slip instabilities have been long observed in sheared granular materials. Yet, their microscopic underpinnings, interdependencies and variability under different loading conditions have not been fully explored. Here,…

Geophysics · Physics 2017-02-08 Konik R. Kothari , Ahmed Elbanna

Non-conservative loads of the follower type are usually believed to be the source of dynamic instabilities such as flutter and divergence. It is shown that these instabilities (including Hopf bifurcation, flutter, divergence, and…

Classical Physics · Physics 2024-01-05 Alessandro Cazzolli , Francesco Dal Corso , Davide Bigoni

Nonlinear dynamical systems possessing an invariant subspace can display interesting dynamical behavior, such as on-off intermittency and bubbling. This letter shows that a class of such systems have amazing features of (1) supersensitivity…

Chaotic Dynamics · Physics 2007-05-23 Changsong Zhou , C. -H. Lai
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