Pereira Miguel, LuccasOliveira Teloli, Rafael deSilva, Samuel daThis chapter presents a new methodology through a harmonic balance method to identify the parameters to describe the hysteresis effect in bolted joints using the Bouc-Wen model. With this study we hope to find possible transitions between periodicity and chaos depending on the variation of the external temperature of the circuit. Therefore, we propose to study a electronic circuit model based on Duffing oscillator subjected to variations in external temperature. It is known that the electronic components such as resistors, capacitors and inductors are sensitive to temperature variation, so that it has different behavior for different temperatures. Among the parameters that can be varied in this type of circuit, we choose the temperature. The positive point of this type of circuit is the easy variation of its parameters allowing a study of their dynamic behavior. In this type of electronic circuit the current and voltage signals are measurements directly with the aid of an oscilloscope, resulting in the variables of the system. The newly generated method that produces an exact solution tested for a pendulum, Poisson–Boltzmann, Duffing like electrical circuit applications.Įlectronic circuits has been widely used as a cheap way of approximate study of dynamical systems that usually require complicated and expensive laboratory implementation. In particular, the exact solution may be applied to the study of the cubic nonlinear circuit and system applications to prevent the difficulties that may arise due to approximation methods. It is suggested that the methodology used herein may be useful in the study of other nonlinear problems described by differential equations approximated by an appropriate solution. The exact solution gives a good analytic solution to a nonlinear equation that describes the action of a nonlinear electrical circuit.
#Multisim 12 vs 14 trial
This achievement is due to the application of the generalized trial equation. This study provides an exact solution to nonlinear ordinary differential equations arising from electrical circuit representation. In many cases all that is desired an accurate solution to a few points which can be calculated in a short time period. The numeric solutions to nonlinear differential equations play a great role in many areas of engineering. Moreover, the period-doubling route to chaos and crisis phenomena are observed too. Furthermore, the hysteresis phenomenon, as well as the existence of coexisting attractors in regards to the initial conditions and the parameters of the system, are investigated. More specifically, the entrance to chaotic behavior through the antimonotonicity phenomenon is observed. Interesting phenomena related to chaos theory are observed. In order to examine the circuit’s dynamical behavior, a host of nonlinear simulation tools, such as phase portraits, bifurcation and continuation diagrams, as well as a maximal Lyapunov exponent diagram, are used. Consequently, for the first time, the KNOWM memristor is used as a static nonlinear resistor in the well-known chaotic Shinriki oscillator.
Furthermore, this memristor has been shown to act like a static nonlinear resistor under certain situations.
The KNOWM’s memristor’s intrinsic feature encourages its use as a nonlinear resistor in chaotic circuits. A novel approach to the physical memristor’s behavior of the KNOWM is presented in this work.
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