scholarly journals Resonance Enhancement by Suitably Chosen Frequency Detuning

2020 ◽  
Author(s):  
Denys Dutykh ◽  
Elena Tobisch
Keyword(s):  
Nonlinear Resonance ◽  
Wave System ◽  
Practical Applications ◽  
Resonance Analysis ◽  
Exact Resonance ◽  
Resonance Detuning ◽  
Resonance Enhancement ◽  
Variation Range ◽  
Harvesting Systems ◽  
Dynamical Parameters

In this manuscript we report new effects of resonance detuning on various dynamical parameters of a generic 3-wave system. Namely, for suitably chosen values of detuning the variation range of amplitudes can be significantly wider than for exact resonance. Moreover, the range of energy variation is not symmetric with respect to the sign of the detuning. Finally, the period of the energy oscillation exhibits non-monotonic dependency on the magnitude of detuning. These results have important theoretical implications where nonlinear resonance analysis is involved, such as geophysics, plasma physics, fluid dynamics. Numerous practical applications are envisageable e.g. in energy harvesting systems.

scholarly journals Resonance Enhancement by Suitably Chosen Frequency Detuning

Mathematics ◽  
2020 ◽  
Vol 8 (3) ◽  
pp. 450
Author(s):  
Denys Dutykh ◽  
Elena Tobisch
Keyword(s):  
Oscillation Period ◽  
Kinematics And Dynamics ◽  
Wave System ◽  
Geophysical Fluid Dynamics ◽  
Weather Extremes ◽  
Prediction Theory ◽  
Exact Resonance ◽  
Resonance Detuning ◽  
Resonance Enhancement ◽  
Variation Range

The theory of exact resonances (kinematics and dynamics) is well developed while even the very concept of detuned resonance is ambiguous and only studies of their kinematic characteristics (that is, those not depending on time) are available in the literature. In this paper, we report novel effects enforced by the resonance detuning on solutions of the dynamical system describing interactions of three spherical planetary waves. We establish that the energy variation range can significantly exceed the range of the exact resonance for suitably chosen values of the detuning. The asymmetry of system’s solutions with respect to the sign of the detuning parameter is demonstrated. Finally, a non-monotonic dependence of the energy oscillation period with respect to detuning magnitude is discovered. These results have direct implications in physics of atmosphere, e.g., for prediction of weather extremes in the Northern Hemisphere midlatitudes (Proc. Nat. Acad. Sci. USA 2016, 133(25), 6862–6867). Moreover, similar study can be conducted for a generic three-wave system taken in the Hamiltonian form which makes our results applicable for an arbitrary Hamiltonian three-wave system met in climate prediction theory, geophysical fluid dynamics, plasma physics, etc.

Dynamic Analysis and Control of Multi-Body Manufacturing Systems Based on Newton–Euler Formulation

2015 ◽  
Vol 12 (02) ◽  
pp. 1550007 ◽  
Author(s):  
Yunn-Lin Hwang ◽  
Van-Thuan Truong
Keyword(s):  
Dynamic Analysis ◽  
Manufacturing Systems ◽  
Manufacturing System ◽  
Practical Applications ◽  
Dynamics And Control ◽  
Dynamical Parameters ◽  
Reaction Forces ◽  
Constrained Equations ◽  
Multi Body ◽  
And Control

This paper presents the numerical dynamic analysis and control of multi-body manufacturing systems based on Newton–Euler formulation. The models of systems built with dynamical parameters are executed. The research uses Newton–Euler formulation application in mechanics calculations, where relations between contiguous bodies through joints as well as their constrained equations are considered. The kinematics and dynamics are both analyzed and acquired by practical applications. Numerical tools help to determine all dynamic characteristics of multi-body manufacturing systems such as displacements, velocities, accelerations and reaction forces of bodies and joints. Using the acquisition, the dynamic approach of multi-body manufacturing systems is developed then whole fundamentals for controller tuning are obtained. It leads to an effective solution for mechanical manufacturing system investigation. Numerical examples are also presented as the illustrations in this paper. The numerical results imply that numerical equations based on Newton–Euler algorithm are valuable in multi-body manufacturing system. It is an effective approach for solving whole mechatronic manufacturing systems including structures, kinematics, dynamics and control.

Nonlinear Response Identification of an Asymmetric Bistable Harvester Excited at Different Bias Angles by Multiscale Entropy and Recurrence Plot

2020 ◽  
Vol 15 (9) ◽  
Author(s):  
Wei Wang ◽  
Junyi Cao ◽  
Chris R. Bowen ◽  
Grzegorz Litak
Keyword(s):  
Energy Harvesting ◽  
Significant Influence ◽  
Output Voltage ◽  
High Sensitivity ◽  
Potential Energy Function ◽  
Recurrence Plot ◽  
Multiscale Entropy ◽  
Voltage Response ◽  
Practical Applications ◽  
Harvesting Systems

Abstract Due to their high sensitivity to excitations with low intensity, bistable energy harvesting systems have received significant attention. In practical applications, it is difficult to achieve a bistable energy harvester (BEH) with a perfectly symmetric potential energy function. Moreover, gravity acts to exert a significant influence on the output response of a BEH oscillator when excited at different bias angles. Therefore, the experimental output voltage time-series of an asymmetric potential BEH are examined in this paper. The BEH studied here was composed of a cantilever beam, two piezo-electric layers at the root and two magnets at the end, and was subjected to harmonic excitations at different bias angles. The energy harvesting system exhibited intrawell, periodic, and chaotic snap-through vibrational patterns under different excitation frequencies at different bias angles explored. To better understand the multiple dynamic behaviors of the system corresponding to different power outputs, we identify the output voltage response by the methods of multiscale entropy (MSE) and recurrence plots. Results indicate that periodic and chaotic vibrational patterns can be readily distinguished by the methods employed. Furthermore, it is demonstrated that the bias angle had a significant influence on the output power of the asymmetric potential BEH.

Nonlinear Response Identification of an Asymmetric Bistable Harvester Excited at Different Bias Angles by Multiscale Entropy and Recurrence Plot

2019 ◽  
Author(s):  
Wei Wang ◽  
Junyi Cao ◽  
Chris R. Bowen ◽  
Grzegorz Litak
Keyword(s):  
Energy Harvesting ◽  
Significant Influence ◽  
Output Voltage ◽  
High Sensitivity ◽  
Potential Energy Function ◽  
Recurrence Plot ◽  
Multiscale Entropy ◽  
Voltage Response ◽  
Practical Applications ◽  
Harvesting Systems

Abstract Due to their high sensitivity to excitations with low intensity, bistable energy harvesting systems have received significant attention. In practical applications, it is difficult to achieve a bistable energy harvester (BEH) with a perfectly symmetric potential energy function. Moreover, gravity acts to exert a significant influence on the output response of a BEH oscillator when excited at different bias angles. Therefore, the experimental output voltage time-series of an asymmetric potential BEH are examined in this paper. The BEH studied here is composed of a cantilever beam, two piezoelectric layers at the root and two magnets at the end, and subjected to harmonic excitations at different bias angles. The energy harvesting system exhibited intra-well, periodic and chaotic snap-through vibrational patterns under different excitation frequencies at different bias angles. To better understand the multiple dynamic behaviors of the system corresponding to different power outputs, we identified the output voltage response by the methods of multiscale entropy and recurrence plots. Results indicate that periodic and chaotic vibrational patterns can be readily distinguished by the methods employed. Furthermore, it is demonstrated that the bias angle had a significant influence on the output power of the asymmetric potential BEH.

Nonlinear Resonance Analysis of Dielectric Elastomer Actuators Under Thermal and Isothermal Conditions

2020 ◽  
Vol 12 (09) ◽  
pp. 2050100
Author(s):  
Amin Alibakhshi ◽  
Hamidreza Heidari
Keyword(s):  
Multiple Scales ◽  
Mechanical Load ◽  
Nonlinear Resonance ◽  
Thermal Conditions ◽  
Taylor Series Expansion ◽  
Dielectric Elastomer ◽  
Response Curves ◽  
Vibrational Response ◽  
Resonance Analysis ◽  
Gent Model

In this paper, nonlinear resonance characteristics of a dielectric elastomer actuator are investigated with special consideration on the thermal effects. A finite thermo-elasticity model based on the Gent model is constructed to analyze the vibrational response of the system. The equation of motion is derived via the Euler–Lagrange method. The multiple scales method and the Taylor series expansion are used to solve the governing equation. Nonlinear resonant responses of the system such softening/hardening and jump are explored. Furthermore, the influences of different system parameters including temperature, limiting stretch, damping, mechanical load, relative permittivity and voltage on the frequency response curves are explored. The results are compared with those obtained in the isothermal state, and those solved by numerical methods. It is found that both softening and hardening-type nonlinearities occur in the system in both non-thermal and thermal conditions.

Nonlinear-resonance analysis of halo formation excited by beam-core oscillation

2000 ◽  
Vol 62 (2) ◽  
pp. 2797-2803 ◽  
Author(s):  
Yoshito Shimosaki ◽  
Ken Takayama
Keyword(s):  
Nonlinear Resonance ◽  
Halo Formation ◽  
Resonance Analysis

scholarly journals New Type of Spectral Nonlinear Resonance Enhances Identification of Weak Signals

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Rongming Lin ◽  
Teng Yong Ng ◽  
Zheng Fan
Keyword(s):  
Nonlinear Resonance ◽  
Signal Enhancement ◽  
Weak Signal ◽  
Weak Signals ◽  
Practical Applications ◽  
Effective Implementation ◽  
Wide Range ◽  
New Type ◽  
Processing Techniques ◽  
Signal Processing Techniques

Abstract Some nonlinear systems possess innate capabilities of enhancing weak signal transmissions through a unique process called Stochastic Resonance (SR). However, existing SR mechanism suffers limited signal enhancement from inappropriate entraining signals. Here we propose a new and effective implementation, resulting in a new type of spectral resonance similar to SR but capable of achieving orders of magnitude higher signal enhancement than previously reported. By employing entraining frequency in the range of the weak signal, strong spectral resonances can be induced to facilitate nonlinear modulations and intermodulations, thereby strengthening the weak signal. The underlying physical mechanism governing the behavior of spectral resonances is examined, revealing the inherent advantages of the proposed spectral resonances over the existing implementation of SR. Wide range of parameters have been found for the optimal enhancement of any given weak signal and an analytical method is established to estimate these required parameters. A reliable algorithm is also developed for the identifications of weak signals using signal processing techniques. The present work can significantly improve existing SR performances and can have profound practical applications where SR is currently employed for its inherent technological advantages.

scholarly journals Intense exact resonance enhancement of single-high-harmonic from an antimony ion by using Ti:Sapphire laser at 37 nm

2007 ◽  
Vol 15 (3) ◽  
pp. 1161 ◽  
Author(s):  
Masayuki Suzuki ◽  
Motoyoshi Baba ◽  
Hiroto Kuroda ◽  
Rashid A. Ganeev ◽  
Tsuneyuki Ozaki
Keyword(s):  
High Harmonic ◽  
Ti:Sapphire Laser ◽  
Exact Resonance ◽  
Resonance Enhancement
Sign in / Sign up

Export Citation Format

Share Document