TY - GEN
T1 - Constrained-energy cross-well actuation of the duffing-holmes oscillator
AU - Zarepoor, Masoud
AU - Bilgen, Onur
N1 - Publisher Copyright:
© 2015 American Institute of Aeronautics and Astronautics.
PY - 2015
Y1 - 2015
N2 - In this paper, the dynamics of a bistable structure is investigated. The analysis focuses on the minimum required energy to move a bistable structure between stable equilibrium positions of the system. The investigation is done under a limited scenario for energy and force. The nonlinear behavior of bistable structures have been previously proposed as a method to hold shape with no energy consumption in a variety of applications including common electronic devices such as switches, relays, and in small aerial, land, and underwater vehicles as control surfaces. This paper focuses on the wellknown Duffing-Holmes oscillator as a one-degree-of-freedom representative of a bistable structure. The paper identifies several unique features of the response of the nonlinear system subjected to force and energy constraints. The paper also shows how the required energy for cross-well oscillation varies as a function of damping ratio, frequency ratio, and for different values of excitation force amplitudes. The response of the bistable nonlinear system is compared to a mono-stable linear system with the same parameters. For a linear system, it was observed that the energy function is quantized, and the energy function becomes more continuous and less quantized by increasing the force amplitude. For a bistable structure subjected to a harmonic force amplitude less than the static force, the energy function is scattered and divided into several levels. By increasing the force amplitude to the so-called static force or larger values, the ranges of excitation frequency ratios and damping ratios, which are able to achieve cross-well oscillation, increase significantly, and also the energy requirement becomes less quantized.
AB - In this paper, the dynamics of a bistable structure is investigated. The analysis focuses on the minimum required energy to move a bistable structure between stable equilibrium positions of the system. The investigation is done under a limited scenario for energy and force. The nonlinear behavior of bistable structures have been previously proposed as a method to hold shape with no energy consumption in a variety of applications including common electronic devices such as switches, relays, and in small aerial, land, and underwater vehicles as control surfaces. This paper focuses on the wellknown Duffing-Holmes oscillator as a one-degree-of-freedom representative of a bistable structure. The paper identifies several unique features of the response of the nonlinear system subjected to force and energy constraints. The paper also shows how the required energy for cross-well oscillation varies as a function of damping ratio, frequency ratio, and for different values of excitation force amplitudes. The response of the bistable nonlinear system is compared to a mono-stable linear system with the same parameters. For a linear system, it was observed that the energy function is quantized, and the energy function becomes more continuous and less quantized by increasing the force amplitude. For a bistable structure subjected to a harmonic force amplitude less than the static force, the energy function is scattered and divided into several levels. By increasing the force amplitude to the so-called static force or larger values, the ranges of excitation frequency ratios and damping ratios, which are able to achieve cross-well oscillation, increase significantly, and also the energy requirement becomes less quantized.
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U2 - 10.2514/6.2016-0201
DO - 10.2514/6.2016-0201
M3 - Conference contribution
AN - SCOPUS:85085407276
SN - 9781624103926
T3 - 57th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
BT - 57th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
PB - American Institute of Aeronautics and Astronautics Inc, AIAA
T2 - 57th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2016
Y2 - 4 January 2016 through 8 January 2016
ER -