Effect of geometry configuration on bursting oscillations of the mechanical oscillator with strong irrational nonlinearities and its FPGA-based implementation
Herve Simo, Achille Ecladore Tchahou Tchendjeu, Fabien Kenmogne, Andre Chamgoue, Richard Ntenga
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引用次数: 0
Abstract
This paper analyzes the dynamic bursting of a mechanical oscillator with two strong irrational restoring forces when the external force changes slowly. The oscillator can exhibit both smooth and discontinuous characteristics depending on its geometry configuration, which is determined by the smoothness parameter. Using the fast-slow dynamics analysis method, we explore the equilibrium stability and bifurcation diagram of the unperturbed system, considering the external periodic excitation as a control parameter for both smooth and discontinuous cases. The bifurcation diagram shows two-fold/fold hysteresis cycles, which disappear as the smoothness parameter increases. Additionally, we examine the effects of the smoothness parameter and amplitude of the external excitation on the system. The study explores bursting oscillations and identifies two normal patterns—"fold/fold" and "node/node". Although there is no significant difference between smooth and discontinuous cases, the amplitude, shape, and time interval between spiking states of bursting oscillation depend on the smoothness parameter and external excitation amplitude. Furthermore, changing the smoothness parameter can create or eliminate bursting oscillations in the SD. To validate the numerical simulation results, the study implements the dynamics of a discontinuous oscillator in Field Programmable Gate Arrays (FPGA), which yields results that align with the numerical simulations.
期刊介绍:
he Journal of Computational Electronics brings together research on all aspects of modeling and simulation of modern electronics. This includes optical, electronic, mechanical, and quantum mechanical aspects, as well as research on the underlying mathematical algorithms and computational details. The related areas of energy conversion/storage and of molecular and biological systems, in which the thrust is on the charge transport, electronic, mechanical, and optical properties, are also covered.
In particular, we encourage manuscripts dealing with device simulation; with optical and optoelectronic systems and photonics; with energy storage (e.g. batteries, fuel cells) and harvesting (e.g. photovoltaic), with simulation of circuits, VLSI layout, logic and architecture (based on, for example, CMOS devices, quantum-cellular automata, QBITs, or single-electron transistors); with electromagnetic simulations (such as microwave electronics and components); or with molecular and biological systems. However, in all these cases, the submitted manuscripts should explicitly address the electronic properties of the relevant systems, materials, or devices and/or present novel contributions to the physical models, computational strategies, or numerical algorithms.