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High-speed machinery is often designed to pass several $"$critical$"$ speeds, where vibration levels can be very high. To reduce vibrations, rotors usually undergo a mass balancing process, where the machine is rotated at its full speed…

Applied Physics · Physics 2018-03-08 Shachar Tresser , Amit Dolev , Izhak Bucher

This work is devoted to quantifying how periodic perturbation can change the rate of metastable transition in stochastic mechanical systems with weak noises. A closed-form explicit expression for approximating the rate change is provided,…

Dynamical Systems · Mathematics 2021-09-30 Ying Chao , Molei Tao

The paper describes a novel parametric excitation scheme that acts as a tunable amplifier by controlling two pumping signals and two nonlinear feedback terms. By modulating the stiffness of a mechanical oscillator with a digital signal…

Applied Physics · Physics 2018-03-08 Amit Dolev , Izhak Bucher

We present an optimal control-based strategy to enhance the estimation of impulse-like disturbances in continuously monitored linear classical and quantum systems by exploiting non-equilibrium states. Using optimal estimation techniques for…

Quantum Physics · Physics 2026-05-13 Kaspar Schmerling , Andreas Kugi , Andreas Deutschmann-Olek

This paper aims to study existence condition of possible bursting oscillations generated by low frequency excitation of a nonlinear vibratory system in the presence of parametric excitation. Slow-fast dissection technique and numerical…

Dynamical Systems · Mathematics 2025-07-22 Sobhan Mohammadi , Keegan J. Moore

In this paper, we study the stability of a simple model of a Hyperloop vehicle resulting from the interaction between electromagnetic and aeroelastic forces for both constant and periodically varying coefficients (i.e., parametric…

We study the problem of controlling oscillations in closed loop by combining positive and negative feedback in a mixed configuration. We develop a complete design procedure to set the relative strength of the two feedback loops to achieve…

Systems and Control · Electrical Eng. & Systems 2021-09-08 W. Che , F. Forni

In this article, we consider vibrational systems with semi-active damping that are described by a second-order model. In order to minimize the influence of external inputs to the system response, we are optimizing some damping values. As…

Dynamical Systems · Mathematics 2023-05-23 Jennifer Przybilla , Igor Pontes Duff , Peter Benner

This paper describes how parametric resonances associated with a galactic potential subjected to relatively low amplitude, strictly periodic time-dependent perturbations can be impacted by pseudo-random variations in the pulsation…

Astrophysics · Physics 2009-11-10 Ioannis V. Sideris , Henry E. Kandrup

The article is devoted to the investigation of the nonlinear effects in a system of the coupled longitudinal-torsional parametric vibrations of a rotating rod. Constructed and investigated mathematical model, based on which we calculated…

Applied Physics · Physics 2018-03-13 Ivan V. Kazachkov

This study aimed to develop a virtual sensing algorithm of structural vibration for the real-time identification of unmeasured information. First, certain local point vibration responses (such as displacement and acceleration) are measured…

Computational Engineering, Finance, and Science · Computer Science 2022-11-24 Seungin Oh , Hanmin Lee , Jai-Kyung Lee , Hyungchul Yoon , Jin-Gyun Kim

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

Much of the physical world around us can be described in terms of harmonic oscillators in thermodynamic equilibrium. At the same time, the far from equilibrium behavior of oscillators is important in many aspects of modern physics. Here, we…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 A. Leuch , L. Papariello , O. Zilberberg , C. L. Degen , R. Chitra , A. Eichler

Sinusoidal excitation is particularly popular for testing structures in the nonlinear regime. Due to the nonlinear behavior and the inevitable feedback of the structure on the exciter, higher harmonics in the applied excitation are…

Systems and Control · Electrical Eng. & Systems 2025-04-29 Patrick Hippold , Gleb Kleyman , Lukas Woiwode , Tong Wei , Florian Müller , Christoph Schwingshackl , Maren Scheel , Sebastian Tatzko , Malte Krack

Strong ultrashort laser pulses give rise to prompt molecular alignment followed by full, half and quarter quantum revivals of the rotational wave packets. In Four Wave Mixing (FWM) experiments, we make use of the long succession of…

Quantum Physics · Physics 2007-05-23 Sharly Fleischer , I. Sh. Averbukh , Yehiam Prior

We consider a simple dynamic model of the vibrating screen operating in the parametric resonance (PR) mode. This model was used in the course of designing and setting of such a screen in LPMC. The PR-based screen compares favorably with…

Classical Physics · Physics 2015-06-16 Leonid I. Slepyan , Victor I. Slepyan

In this paper, we present an impedance control design for multi-variable linear and nonlinear robotic systems. The control design considers force and state feedback to improve the performance of the closed loop. Simultaneous feedback of…

Robotics · Computer Science 2020-10-27 Alejandro Donaire , Luigi Villani , Fanny Ficuciello , Juan Tomassini , Bruno Siciliano

Semi-active vibration reduction techniques are defined as techniques in which controlled actions do not operate directly on the system's degrees of freedom (as in the case of active vibration control) but on the system's parameters, i.e.,…

Dynamical Systems · Mathematics 2021-05-17 Alexander Nowak , L. Flavio Campanile , Alexander Hasse

Nonlinear forces allow motion of a mechanical oscillator to be squeezed below the zero-point motion. Of existing methods, mechanical parametric amplification is relatively accessible, but previously thought to be limited to 3dB of squeezing…

Quantum Physics · Physics 2011-11-17 Alex Szorkovszky , Andrew C. Doherty , Glen I. Harris , Warwick P. Bowen

The shaking force balancing is a well-known problem in the design of high-speed robotic systems because the variable dynamic loads cause noises, wear and fatigue of mechanical structures. Different solutions, for full or partial shaking…

Robotics · Computer Science 2020-11-17 Jing Geng , Vigen Arakelian , Damien Chablat
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