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A mechanical system consisting of an elastic beam under harmonic excitation and an attached sliding body is investigated. Recent experimental observations suggest that the system passively (self-)adapts the axial location of the slider to…

Adaptation and Self-Organizing Systems · Physics 2021-01-12 Malte Krack , Noha Aboulfotoh , Jens Twiefel , Jörg Wallaschek , Lawrence A. Bergman , Alexander F. Vakakis

A beam-slider system is considered whose passive self-adaption relies on an intricate locomotion process involving both frictional and unilateral contact. The system also exploits geometric nonlinearity to achieve broadband efficacy. The…

Systems and Control · Electrical Eng. & Systems 2024-03-13 Florian Müller , Malte Krack

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

A pinned-free beam in axial fluid flow, subjected to feedback-based actuation at the pinned end, is investigated. The actuation may be a moment or a prescribed angle and it is proportional to the state (curvature, slope, or displacement) of…

Fluid Dynamics · Physics 2023-02-07 Sanders Aspelund , Ranjan Mukherjee , Aren Hellum

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

We experimentally study the frictional behavior of a two-dimensional slider pulled slowly over a granular substrate comprised of photoelastic disks. The slider is vibrated at frequencies ranging from 0 to 30 Hz in a direction parallel to…

Soft Condensed Matter · Physics 2018-12-18 Abram H. Clark , Robert P. Behringer , Jacqueline Krim

In this work, we show that a recently proposed method for experimental nonlinear modal analysis based on the extended periodic motion concept is well suited to extract modal properties for strongly nonlinear systems (i.e. in the presence of…

Systems and Control · Electrical Eng. & Systems 2020-11-18 Maren Scheel , Tobias Weigele , Malte Krack

The experiments involving a slider moving on top of granular media consisting of photoelastic particles in two dimensions have uncovered elaborate dynamics that may vary from continuous motion to crackling, periodic motion, and stick-slip…

Soft Condensed Matter · Physics 2021-07-14 Chao Cheng , Aghil Abed Zadeh , Lou Kondic

The nonlinear mechanics of a flexible elastic rod constrained at its edges by a pair of sliding sleeves is analyzed. The planar equilibrium configurations of this variable-length elastica are found to have shape defined only by the…

Soft Condensed Matter · Physics 2024-09-19 Alessandro Cazzolli , Francesco Dal Corso

A theoretical description of the weakly nonlinear and mode-dependent dynamics of a nanoscale beam that is under intrinsic tension is developed. A full analysis of the dynamic range of the beam over a wide range of conditions is presented.…

Applied Physics · Physics 2025-08-08 N. W. Welles , M. Ma , K. L. Ekinci , M. R. Paul

We consider the dynamics of an elastic beam which is clamped at its left end to a vibrating support and which can move freely at its right end between two rigid obstacles (the stops). We model the contact with Signorini's complementary…

Numerical Analysis · Mathematics 2013-01-01 Y. Dumont , L. Paoli

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

This article is devoted to the stabilization of two underactuated planar systems, the well-known straight beam-and-ball system and an original circular beam-and-ball system. The feedback control for each system is designed, using the Jordan…

Robotics · Computer Science 2010-12-01 Yannick Aoustin , Alexander Formal'skii

We consider conformation dynamics of a chain-like three-body bead-spring model, in which three point masses are connected in series by two springs and the conformation is defined by the bending angle between the two springs. Previous…

Chaotic Dynamics · Physics 2026-05-29 Yuki Sogo , Yoshiyuki Y. Yamaguchi

The scope of this study is to develop a novel sensorless adaptive vibration suppression controller for two-mass systems with joint estimation of states and controller parameters. Unlike existing solutions, we simultaneously: (i) propose an…

Systems and Control · Electrical Eng. & Systems 2023-03-24 Anton Glushchenko , Konstantin Lastochkin

A piecewise-linear model with a single degree of freedom is derived from first principles for a driven vertical cantilever beam with a localized mass and symmetric stops. The resulting piecewise-linear dynamical system is smoothed by a…

Dynamical Systems · Mathematics 2013-08-19 M. Elmegård , B. Krauskopf , H. M. Osinga , J. Starke , J. J. Thomsen

The process of self-morphing in curved surfaces found in nature, such as with the growth of flowers and leaves, has generated interest in the study of self-morphing bilayers, which has been used in many soft robots or switchers. However,…

Numerical Analysis · Mathematics 2023-09-19 Junjie Song , Yixiong Feng , Zhaoxi Hong , Bingtao Hu , Jianrong Tan , Xiuju Song

Fitting two different materials is a versatile methodology in manufacturing complex structures. One of the canonical models for fitting is the snap-fit model, in which flexible materials and rigid structures are assembled by pushing their…

Soft Condensed Matter · Physics 2026-03-04 Yukiho Matsumoto , Keisuke Yoshida , Tomohiko G. Sano

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

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
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