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Nonlinear vibrations of beams with bilinear hysteresis at supports: interpretation of experimental results

Journal of Sound and Vibration, 2021
Abstract Several structures of important industrial relevance feature large-amplitude vibration, which can have an initially hardening or a softening behavior. Models with quadratic and cubic nonlinear stiffness terms are often used to predict the nonlinear dynamics of such structures. If boundary conditions constitute an important cause
Prabakaran Balasubramanian   +2 more
exaly   +3 more sources

Bilinear product Preisach modeling of magnetic hysteresis curves

IEEE Transactions on Magnetics, 1989
The classical Preisach model has been unified using population dynamics, resulting in a bilinear product model. A practical numerical procedure has been devised for the calculation of the model parameters from measured magnetization data. Experimental magnetization curves have been analyzed by this method to obtain the material parameters and the ...
G Kádár   +2 more
exaly   +4 more sources

Nonlinear dynamics of oscillators with bilinear hysteresis and sinusoidal excitation

Physica D: Nonlinear Phenomena, 2009
The authors investigate the transient and steady-state response of an oscillator with hysteretic restoring force and sinusoidal excitation. Hysteresis is modeled by using the bilinear model of Caughey with a hybrid system formulation. Stability and bifurcations of periodic orbits are studied using Poincaré maps.
Tamás Kalmár-Nagy
exaly   +3 more sources

Sinusoidal Excitation of a System With Bilinear Hysteresis

Journal of Applied Mechanics, Transactions ASME, 1960
Many physical systems exhibit hysteresis which may be adequately described by a bilinear hysteresis model. This paper considers the response of such a system to sinusoidal excitation. It is shown that the system exhibits a soft-type resonance with stable, single-valued response curves. For such a system it is shown that there exists a critical value of
T K Caughey, Caughey T K
exaly   +2 more sources

The Bilinear Product Model of Hysteresis Phenomena

Physica Scripta, 1989
In ferromagnetic materials non-reversible magnetization processes are represented by rather complex hysteresis curves. The phenomenological description of such curves needs the use of multi-valued, yet unambiguous, deterministic functions. The history dependent calculation of consecutive Everett-integrals of the two-variable Preisach-function can ...
György Kádár
exaly   +2 more sources

Tuned Mass Dampers for Structures with Bilinear Hysteresis

Journal of Engineering Mechanics - ASCE, 1996
A design method of tuned mass dampers (TMDs) for structures with bilinear hysteresis subject to harmonic excitation is proposed. Conventional TMDs fail to control a bilinear structure as the equivalent natural frequency of the structure diverges from the TMD natural frequency at the higher level of excitation.
Abe Masato
exaly   +2 more sources

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