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We investigate the nonlinear vibration of a fractional viscoelastic cantilever beam, subject to base excitation, where the viscoelasticity takes the general form of a distributed-order fractional model, and the beam curvature introduces…

Numerical Analysis · Mathematics 2019-09-06 Pegah Varghaei , Ehsan Kharazmi , Jorge L. Suzuki , Mohsen Zayernouri

In this paper the problem of boundary control of vibration in a clamped-free strain gradient Timoshenko micro-cantilever is studied. For getting systems closer to reality, the force or moment exertion conditions should be modeled. To this…

Signal Processing · Electrical Eng. & Systems 2019-05-23 Amin Mehrvarz , Hasan Salarieh , Aria Alasty , Ramin Vatankhah

This paper presents a model-free adaptive control approach to suppress vibrations in a cantilevered beam excited by an unknown disturbance. The cantilevered beam under harmonic excitation is modeled using a lumped parameter approach. Based…

Systems and Control · Electrical Eng. & Systems 2026-01-12 Juan Augusto Paredes Salazar , Ankit Goel

Fast and safe manipulation of flexible objects with a robot manipulator necessitates measures to cope with vibrations. Existing approaches either increase the task execution time or require complex models and/or additional instrumentation…

Fractional models and their parameters are sensitive to changes in the intrinsic micro-structures of anomalous materials. We investigate how such physics-informed models propagate the evolving anomalous rheology to the nonlinear dynamics of…

Numerical Analysis · Mathematics 2020-09-28 Jorge L. Suzuki , Pegah Varghaei , Ehsan Kharazmi , Mohsen Zayernouri

Many industries extensively use flexible materials. Effective approaches for handling flexible objects with a robot manipulator must address residual vibrations. Existing solutions rely on complex models, use additional instrumentation for…

Robotics · Computer Science 2022-11-22 Daniele Ronzani , Shamil Mamedov , Jan Swevers

Two-wheeled inverted pendulum robots are designed for self-balancing and they have remarkable advantages. In this paper, a new configuration and consequently dynamic model of one specific robot is presented and its dynamic behavior is…

Dynamical Systems · Mathematics 2021-02-18 Amin Mehrvarz , Mohammad Javad Khodaei , William Clark , Nader Jalili

We consider two cantilevered beams undergoing frictional impacts at the free end. The beams are designed to be of similar geometry so that they have distinct but close natural frequencies. Under harmonic base excitation near the primary…

Systems and Control · Electrical Eng. & Systems 2022-07-05 Carlo Monjaraz-Tec , Lukas Kohlmann , Stefan Schwarz , Andreas Hartung , Johann Gross , Malte Krack

Existing smart composite piezoelectric beam models in the literature mostly ignore the electro-magnetic interactions and adopt the linear elasticity theory. However, these interactions substantially change the controllability and…

Optimization and Control · Mathematics 2018-03-21 Ahmet Ozkan Ozer

The large deflections of cantilevered beams and plates are modeled and discussed. Traditional nonlinear elastic models (e.g., that of von Karman) employ elastic restoring forces based on the effect of stretching on bending, and these are…

Analysis of PDEs · Mathematics 2022-05-25 Maria Deliyianni , Kevin McHugh , Justin T. Webster , Earl Dowell

Gear box dynamics is characterised by a periodically changing stiffness and a backlash which can lead to a loss of the contact between the teeth. Due to backlash, the gear system has piecewise linear stiffness characteristics and, in…

Chaotic Dynamics · Physics 2015-06-26 Grzegorz Litak , Michael I. Friswell

Bristle bots are vibration-driven robots actuated by the motion of an internal oscillating mass. Vibrations are translated into directed locomotion due to the alternating friction resistance between robots' bristles and the substrate during…

This paper presents an $\mathcal{H}_2 / \mathcal{H}_\infty$ minimization-based output-feedback controller for active aeroelastic vibration suppression in a cantilevered beam. First, a nonlinear structural model incorporating moderate…

Systems and Control · Electrical Eng. & Systems 2025-12-12 Mohammad Mirtaba , Juan Augusto Paredes Salazar , Daning Huang , Ankit Goel

This paper investigates the possibility of the motion control of a ball with a pendulum mechanism with non-holonomic constraints using gaits - the simplest motions such as acceleration and deceleration during the motion in a straight line,…

Dynamical Systems · Mathematics 2021-09-28 Tatyana B. Ivanova , Elena N. Pivovarova

A cantilever beam under axial flow, confined or not, is known to develop self-sustained oscillations at sufficiently large flow velocities. In recent decades, the analysis of this archetypal system has been mostly pursued under linearized…

Chaotic Dynamics · Physics 2024-10-14 Filipe Soares , José Antunes , Christophe Vergez , Vincent Debut , Bruno Cochelin , Fabrice Silva

This research is on the nonlinear dynamics of a two-sided electrostatically actuated capacitive micro-beam. The microresonator is composed of silicon and PZT as a piezoelectric material. PZT is functionally distributed along the height of…

Mesoscale and Nanoscale Physics · Physics 2016-11-15 Meysam T. Chorsi , Saber Azizi , Firooz Bakhtiari-Nejad

An experimental arrangement and a set of experiments are developed to generate empirical evidence of the effect of noise on a rotating, macro-scale cantilever structure. The experiment is a controlled representation of a rotating machinery…

Applied Physics · Physics 2023-06-01 Lautaro Cilenti , Maria Cameron , Balakumar Balachandran

A problem of vibration control of smart beams was addressed in various publications which primarily utilize collocated sensors and actuators and neglect the effect of measurement noise in the observer design. This paper develops a natural…

Optimization and Control · Mathematics 2014-10-30 M. A. Pinsky , A. O. Ozer

The nonlinear interactions between flexural and torsional modes of a microcantilever are experimentally studied. The coupling is demonstrated by measuring the frequency response of one mode, which is sensitive to the motion of another…

Mesoscale and Nanoscale Physics · Physics 2012-07-17 H. J. R. Westra , H. S. J. van der Zant , W. J. Venstra

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
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