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We study, both analytically and numerically, the dynamics of mechanical oscillators kept in motion by a feedback force, which is generated electronically from a signal produced by the oscillators themselves. This kind of self-sustained…

Adaptation and Self-Organizing Systems · Physics 2015-06-15 Sebastian I. Arroyo , Damian H. Zanette

Despite being the subject of study for several years, excessive vibration persists in the machining of metal parts. In this context, the Stability Lobe Diagram (SLD) is presented as a viable tool to mitigate this problem as a function of…

Systems and Control · Electrical Eng. & Systems 2024-10-29 Diego R Villacreses Naranjo , Frédéric Vignat , Nicolas Béraud

In this paper, we study geometric features of orientation-preserving random dynamical systems on the circle driven by memoryless noise that exhibit stable synchronisation: we consider crack points, invariant measures, and the link between…

Dynamical Systems · Mathematics 2017-08-15 Julian Newman

This paper introduces an axiomatic basis for measuring the energy characteristic of vibrating dynamical systems. The basic approach is to compare non-modulated vs. modulated waveforms in measuring energy during the vibratory motion $m(t)$…

General Physics · Physics 2024-10-30 Enze Cui , James F. Peters

The determination of a dynamic law of cut is complex and often very difficult to develop. Several formulations were developed, in very complex ways being given that 3 AD crosses from there, the number of variables is much higher than out of…

Classical Physics · Physics 2009-09-29 Constantin Ispas , Claudiu-Florinel Bisu , Alain Gérard , Doru Bardac

This paper proposes a method to vibration analysis in order to on-line monitoring of milling process quality. Adapting envelope analysis to characterize the milling tool materials is an important contribution to the qualitative and…

Other Computer Science · Computer Science 2012-01-24 Claudiu-Florinel Bisu , Alain Gérard , Miron Zapciu , Olivier Cahuc

We use flicker-noise spectroscopy (FNS), a phenomenological method for the analysis of time and spatial series operating on structure functions and power spectrum estimates, to identify and study harmful chatter vibrations in a regenerative…

Data Analysis, Statistics and Probability · Physics 2015-06-16 Grzegorz Litak , Yuriy S. Polyakov , Serge F. Timashev , Rafal Rusinek

The determination of the stiffness center of a machine tool is a major element for knowing the dynamic behavior of this one. This stiffness center can be obtained from a static characterization of the machine tool. For an operation of…

We study the dynamics of a mechanical oscillator with linear and cubic forces -the Duffing oscillator- subject to a feedback mechanism that allows the system to sustain autonomous periodic motion with well-defined amplitude and frequency.…

Classical Physics · Physics 2015-06-23 Damián H. Zanette , Sebastián I. Arroyo

The purpose of this work is twofold: to present mathematical expressions for the kinematics of an articulated mechanism and to perform numerical experiments with the implemented code. The system of rigid parts is made of two slender bars…

Physics Education · Physics 2015-10-06 Luciano Fleischfresser

A joint characterisation of the observability and controllability of a particular kind of discrete system has been developed. The key idea of the procedure can be reduced to a correct choice of the sampling sequence. This freedom, owing to…

Discrete Mathematics · Computer Science 2010-06-23 Amparo Fúster-Sabater , J. M. Guillén

A quantum measuring instrument is constructed that utilises symmetry breaking to enhance a microscopic signal. The entire quantum system consists of a system-apparatus-environment triad that is composed of a small set of spin-1/2 particles.…

Quantum Physics · Physics 2018-08-07 H. C. Donker , H. De Raedt , M. I. Katsnelson

This work intends to analyze the nonlinear stochastic dynamics of drillstrings in horizontal configuration. For this purpose, it considers a beam theory, with effects of rotatory inertia and shear deformation, which is capable of…

Computational Engineering, Finance, and Science · Computer Science 2021-05-31 Americo Cunha , Christian Soize , Rubens Sampaio

The problem of stability in the machining processes is an important task. It is strictly connected with the final quality of a product. In this paper we consider vibrations of a tool-workpiece system in a straight turning process induced by…

Chaotic Dynamics · Physics 2015-06-26 J. Lipski , G. Litak , R. Rusinek , K. Szabelski , A. Teter , J. Warminski , K. Zaleski

An important design principle for biological oscillators divides the oscillators into two classes: fixed frequency, variable amplitude and fixed amplitude, variable frequency. Because of the interplay of nonlinearity and feedback, both…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Sidhanta Mohanty , Shaunak Sen

Various methods for designing input features have been proposed for fault recognition in rotating machines using one-dimensional raw sensor data. The available methods are complex, rely on empirical approaches, and may differ depending on…

Machine Learning · Computer Science 2024-02-16 Seetaram Maurya , Nishchal K. Verma

In this paper, we analyze dynamic programming as a novel approach to solve the problem of maximizing the profits of a bank. The mathematical model of the problem and the description of a bank's work is described in this paper. The problem…

General Finance · Quantitative Finance 2016-11-04 Oleg Malafeyev , Achal Awasthi

Several concepts on the measure of observability, reachability, and robustness are defined and illustrated for both linear and nonlinear control systems. Defined by using computational dynamic optimization, these concepts are applicable to…

Optimization and Control · Mathematics 2009-07-17 Wei Kang , Liang Xu

An experimental device in turning including, in particular, a six-component dynamometer is exploited to measure the complete torque of cutting forces in a case of self-excited vibrations. For the tests, the tool used is type TNMA 16 04 12…

Classical Physics · Physics 2009-09-03 Alain Gérard , Olivier Cahuc , Miron Zapciu

Self-oscillations are the result of an efficient mechanism generating periodic motion from a constant power source. In quantum devices, these oscillations may arise due to the interaction between single electron dynamics and mechanical…