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We investigate the geometrically nonlinear deformation and buckling of a slender elastic beam subject to time-dependent `fictitious' (non-inertial) forces arising from unsteady rotation. Using a rotary apparatus that accurately imposes an…

软凝聚态物质 · 物理学 2023-09-01 Eduardo Gutierrez-Prieto , Michael Gomez , Pedro M. Reis

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…

偏微分方程分析 · 数学 2022-05-25 Maria Deliyianni , Kevin McHugh , Justin T. Webster , Earl Dowell

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…

系统与控制 · 电气工程与系统科学 2022-07-05 Carlo Monjaraz-Tec , Lukas Kohlmann , Stefan Schwarz , Andreas Hartung , Johann Gross , Malte Krack

We consider a cantilevered (clamped-free) beam in an axial potential flow. Certain flow velocities may bring about a bounded-response instability in the structure, termed {\em flutter}. As a preliminary analysis, we employ the theory of…

偏微分方程分析 · 数学 2017-07-25 Jason Howell , Daniel Toundykov , Justin T. Webster

We present a mathematical and numerical analysis on a control model for the time evolution of a multi-layered piezoelectric cantilever with tip mass and moment of inertia, as developed by Kugi and Thull [31]. This closed-loop control system…

偏微分方程分析 · 数学 2015-07-10 Maja Miletic , Anton Arnold

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…

混沌动力学 · 物理学 2024-10-14 Filipe Soares , José Antunes , Christophe Vergez , Vincent Debut , Bruno Cochelin , Fabrice Silva

Euler-Bernoulli beam theory is widely used to successfully predict the linear dynamics of micro- and nano-cantilever beams. However, its capacity to characterize the nonlinear dynamics of these devices has not yet been rigorously assessed,…

介观与纳米尺度物理 · 物理学 2015-06-12 L. G. Villanueva , R. B. Karabalin , M. H. Matheny , D. Chi , J. E. Sader , M. L. Roukes

This work focuses on the stability analysis of an Euler Bernoulli cantilever beam with a tip mass at the free end, subject to a follower force. This can serve as a viable model for analysis of elastic instability occurring due to…

经典物理 · 物理学 2023-11-20 Premjit Saha , Tarunraj Singh

The interaction of flexible structures with viscoelastic flows can result in very rich dynamics. In this paper, we present the results of the interactions between the flow of a viscoelastic polymer solution and a cantilevered beam in a…

流体动力学 · 物理学 2019-10-11 Anita A. Dey , Yahya Modarres-Sadeghi , Anke Lindner , Jonathan P. Rothstein

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…

应用物理 · 物理学 2023-06-01 Lautaro Cilenti , Maria Cameron , Balakumar Balachandran

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…

系统与控制 · 电气工程与系统科学 2026-01-12 Juan Augusto Paredes Salazar , Ankit Goel

A mathematical model of a simply supported Euler-Bernoulli beam with attached spring-mass system is considered. The model is controlled by distributed piezo actuators and lumped force. We address the issue of asymptotic behavior of…

最优化与控制 · 数学 2022-08-09 Julia Kalosha , Alexander Zuyev

This paper proposes a low order geometrically exact flexible beam formulation based on the utilisation of generic beam shape functions to approximate distributed kinematic properties of the deformed structure. The proposed nonlinear beam…

经典物理 · 物理学 2018-09-05 C. Howcroft , R. G. Cook , S. A. Neild , M. H. Lowenberg , J. E. Cooper , E. B. Coetzee

We present a numerical study to investigate the fluid-structure interaction of a flexible circular cantilever cylinder in a uniform cross-flow. We employ a fully-coupled fluid-structure solver based on the three-dimensional Navier-Stokes…

流体动力学 · 物理学 2021-05-26 S. Heydari , N. A. Patankar , M. J. Z. Hartmann , R. K. Jaiman

The present work investigates the fluid-structure interaction (FSI) of a flexible cylindrical cantilever in a tandem configuration. A fully coupled fluid-structure solver based on the three-dimensional incompressible Navier-Stokes equations…

流体动力学 · 物理学 2024-08-07 Shayan Heydari , Rajeev K Jaiman

Parametric instabilities are a known feature of periodically driven dynamic systems; at particular frequencies and amplitudes of the driving modulation, the system's quasi-periodic response undergoes a frequency lock-in, leading to a…

数学物理 · 物理学 2026-05-22 Helen E. Read , Giada Risso , Adel Djellouli , Katia Bertoldi , Arnaud Lazarus

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…

数值分析 · 数学 2020-09-28 Jorge L. Suzuki , Pegah Varghaei , Ehsan Kharazmi , Mohsen Zayernouri

We discuss the Brownian thermal noise which affects the cantilever dynamics of a dAFM (dynamic atomic force microscope), both when it works in air and in presence of water. Our scope is to accurately describe the cantilever dynamics, and to…

仪器与探测器 · 物理学 2018-11-30 Elena Pierro , Francesco Bottiglione , Giuseppe Carbone

We report on low temperature measurements performed on micro-electro-mechanical systems (MEMS) driven deeply into the non-linear regime. The materials are kept in their elastic domain, while the observed non-linearity is purely of…

介观与纳米尺度物理 · 物理学 2015-06-18 Eddy Collin , Yuriy M. Bunkov , Henri Godfrin

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…

动力系统 · 数学 2021-02-18 Amin Mehrvarz , Mohammad Javad Khodaei , William Clark , Nader Jalili
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