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- W4384698618 abstract "Abstract The utilization of thin plate systems based on acoustic vibration holds significant importance in micro-nano manipulation and the exploration of nonlinear science. This paper focuses on the analysis of an actual thin plate system driven by acoustic wave signals. By combining the mechanical analysis of thin plate microelements with the Bubnov-Galerkin integral method, the governing equation for the forced vibration of a square thin plate is derived. Notably, the reaction force of the thin plate vibration system is defined as $f = alpha left| w right|$, resembling Hooke's law. The energy function and energy level curve of the system are also analyzed. Subsequently, the amplitude-frequency response function of the thin plate oscillator is solved using the harmonic balance method. Through numerical simulations, the amplitude-frequency curves are analyzed for different vibration modes under the influence of various parameters. Furthermore, the paper demonstrates the occurrence of conservative chaotic motions in the thin plate oscillator using theoretical and numerical methods. Dynamics maps illustrating the system's states are presented to reveal the evolution laws of the system. By exploring the effects of force fields and system energy, the underlying mechanism of chaos is interpreted. Additionally, the phenomenon of chaos in the oscillator can be controlled through the method of velocity and displacement states feedback, which holds significance for engineering applications." @default.
- W4384698618 created "2023-07-20" @default.
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- W4384698618 date "2023-07-18" @default.
- W4384698618 modified "2023-09-23" @default.
- W4384698618 title "Dynamic modelling and Chaos control for a thin plate oscillator Using Bubnov-Galerkin integral method" @default.
- W4384698618 doi "https://doi.org/10.1088/1674-1056/ace822" @default.
- W4384698618 hasPublicationYear "2023" @default.
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