Showing papers in "Journal of Low Frequency Noise Vibration and Active Control in 2019"
TL;DR: In this article, the authors present some simple methods for nonlinear oscillators, including He's frequency for He's this article for the periodic properties of nonlinear Oscillators.
Abstract: In engineering, a fast estimation of the periodic property of a nonlinear oscillator is much needed. This paper reviews some simplest methods for nonlinear oscillators, including He’s frequency for...
133 citations
TL;DR: A brief introduction to the development of the homotopy perturbation method is given in this article, and the main milestones are elucidated with more than 90 references, and the method further improves the method by adding more references.
Abstract: A brief introduction to the development of the homotopy perturbation method is given, and the main milestones are elucidated with more than 90 references. This paper further improves the method by ...
111 citations
TL;DR: In this article, the variational iteration algorithm with an auxiliary parameter is used for the analytical treatment of the wave equations and wave-like vibration equations and the technique has the c...
Abstract: In this work, the variational iteration algorithm-I with an auxiliary parameter is used for the analytical treatment of the wave equations and wave-like vibration equations. The technique has the c...
89 citations
TL;DR: In this article, the authors adopt He's fractional derivative, which is defined through the variational iteration algorithm, to deal with the noise in the vibration of a fractional oscillator.
Abstract: Fractional oscillators can effectively deal with noise in the vibration. This paper adopts He’s fractional derivative, which is defined through the variational iteration algorithm. Ji-Huan He’s amp...
63 citations
TL;DR: In this article, the enhanced perturbation method is used to improve a governing equation to a higher order, followed by the classic perturbations, and the basic idea of the method is adopted to construct new governing equations.
Abstract: The enhanced perturbation method is used to improve a governing equation to a higher order, followed by the classic perturbation method. This paper adopts the basic idea of the method to construct ...
61 citations
TL;DR: In this article, a new approach for solving telegraph equation, commonly called damped wave equation, arising in electromagnetic waves and propagation of electrical signals, is proposed, which is based on He-Laplacian approach.
Abstract: This study suggests a new approach for solving telegraph equation, commonly called damped wave equation, arising in electromagnetic waves and propagation of electrical signals. In this paper, He–La...
60 citations
TL;DR: In this article, the multiple scales method is a combination of the homotopy perturbation method and the multiple scale technology in the classic perturbations method, which has been proved to be a powerful mathe...
Abstract: He’s multiple scales method is a couple of the homotopy perturbation method and the multiple scales technology in the classic perturbation method. This method has been proved to be a powerful mathe...
45 citations
TL;DR: In this paper, the relationship between frequency and amplitude of a nonlinear oscillator can be obtained through residuals of two trial solutions of two different frequency-amplitude combinations.
Abstract: In He’s frequency–amplitude formulation, the relationship between frequency and amplitude of a nonlinear oscillator can be obtained through residuals of two trial solutions. Although a high accurat...
39 citations
TL;DR: The capillary effect has wide applications from biology and textile engineering to nanotechnology especially micro-electromechanical systems and microfluidics device as discussed by the authors, where the capillary vibration has been used in many applications.
Abstract: The capillary effect has wide applications from biology and textile engineering to nanotechnology especially the micro-electromechanical systems and microfluidics device. The capillary vibration si...
32 citations
TL;DR: In this article, a universal approach to solve nonlinear periodic vibration equations by He-Laplace method, a coupling of He-s perturbation method and Laplace transform, was proposed.
Abstract: This paper suggests a universal approach to solve nonlinear periodic vibration equations by He–Laplace method, a coupling of He’s perturbation method and Laplace transform. The nonlinear periodic s...
26 citations
TL;DR: In this article, an analytical approach for nonlinear vibration of nonlinear evaluation equations which arises in shallow water waves is proposed, coupled with variational iteration metamodel approach, which is based on an analytical method.
Abstract: This study is based on an analytical approach for nonlinear vibration of nonlinear evaluation equations which arises in shallow water waves. This approach is, coupled with variational iteration met...
TL;DR: In this article, the perturbation method is used only for weakly nonlinear oscillators, and a simple formula for this method is given. But it is only valid for weak nonlinear OOscillators.
Abstract: Fast estimation of a nonlinear oscillator is very much needed in engineering, the perturbation method is valid only for weakly nonlinear oscillators. This paper gives some simple formula for this p...
TL;DR: In this article, the potential of nanofibers in wide applications such as energy, filtration, medical devices, and sensors has been explored, and fiber morphology, fiber diameter and por...
Abstract: Electrospun nanofibers have shown great potential in wide applications such as energy, filtration, medical devices, and sensors. For all these applications, fiber morphology, fiber diameter and por...
TL;DR: In this article, noise annoyance is among the most important human responses to noise, which is one of the main health risk factors which has been recently considered in many researches, such as wind turbines.
Abstract: Noise, emitted by wind turbines, is one of the main health risk factors which has been recently considered in many researches. Noise annoyance is among the most important human responses to noise. ...
TL;DR: In this paper, a fractional nonlinear differential system is studied to search for its periodic solution near the equilibrium, where the release oscillation of silver ions from hollow fibers is used as an example.
Abstract: A fractional nonlinear differential system is studied to search for its periodic solution near the equilibrium. The release oscillation of silver ions from hollow fibers is used as an example to il...
TL;DR: In this paper, a vibration model for needle-disk electrospinning is established. But the model is not suitable for the case of a fixed needle fixed on a rotating disk.
Abstract: Needle-disk electrospinning is a new technology for mass production of nanofibers. During the spinning process, the needle fixed on the rotating disk will vibrate. A vibration model is established,...
TL;DR: A novel damage identification method for plate-like structures based on distance compensation is proposed to overcome a shortage of PZT transducers, and a baseline-free damage imaging technique is developed based on amplitude loss ratio of the first arriving wave package.
Abstract: The baseline signal in structural inspection based on guided waves is difficult to be obtained under varying environmental conditions. To guarantee the precision of damage identification, developin...
TL;DR: In this paper, the variational iteration method can be further improved by using matrix Lagrange multipliers, which is a famous mathematical tool to nonlinear oscillator, and it can be used to solve nonlinear nonlinear OOscillators.
Abstract: The variational iteration method is a famous mathematical tool to nonlinear oscillator, this paper shows that the method can be further improved by using matrix Lagrange multipliers. Four examples ...
TL;DR: In this paper, the nonlinear vibration of functionally graded nano-beams based on the nonlocal elasticity theory considering surface and flexoelectric effects was investigated, and the non-linear vibration was shown to be nonlinear with respect to the surface of the nano-beam.
Abstract: This research deals with the nonlinear vibration of the functionally graded nano-beams based on the nonlocal elasticity theory considering surface and flexoelectric effects. The flexoelectric funct...
TL;DR: In this paper, a modified homotopy perturbation method with an auxiliary term was proposed for obtaining an analytical approximate solution of a nonlinear equation, which involves a tuning term.
Abstract: Recently, a modified homotopy perturbation method with an auxiliary term was proposed for obtaining an analytical approximate solution of a nonlinear equation. The auxiliary term involves a tuning ...
TL;DR: It was shown that the properly tuned Skyhook algorithm enables improving vehicle handling compared to the passive suspension and simultaneously it can maintain the similar or even better results of ride comfort.
Abstract: The paper presents an analysis of vehicle vibration, ride comfort and handling which have a decisive influence on health and safety of a driver. Experiments were carried out for a commercially avai...
TL;DR: In this paper, the homotopy perturbation method is extended to solve nonlinear oscillators with damping terms, and an explicit relationship between the frequency and amplitude is obtained, the main factor affecti...
Abstract: The homotopy perturbation method is extended to solve nonlinear oscillators with damping terms, and an explicit relationship between the frequency and amplitude is obtained, the main factor affecti...
TL;DR: The second-order spreading residue harmonic balance method solution is compared with the numerical one by the Runge–Kutta method and it is shown that the availability and validity of the method is confirmed.
Abstract: Since the doubly clamped beam-type N/MEMS subjected to the van der Waals attraction is transformed into a mathematical model through Galerkin method, which is a nonlinear differential equation, the...
TL;DR: In this paper, the authors present a fast estimation of periodic properties of a nonlinear oscillator, which is much needed as pointed out by Tian and Liu in their review article.
Abstract: A fast estimation of periodic properties of a nonlinear oscillator is much needed as pointed out by Tian and Liu in their review article (Tian D and Liu Z, Journal of Low Frequency Noise, Vibration...
TL;DR: In this paper, the propagation characteristics of smart laminated fiber-reinforced composite cylindrical membrane shells with different piezoelectric coupling effects are determined for smart laminear fiber reinforced composites.
Abstract: Wave propagation characteristics are determined for smart laminated fiber-reinforced composite cylindrical membrane shells with different piezoelectric coupling effects. Wave motion equations are d...
TL;DR: The wavelet transfer function is the ratio of output and input wavelet transforms, considered as a distinctive correlation of the output andinput system signals, and presented in two dimensions scale-time.
Abstract: In the analysis of vibration systems, classical transfer functions are used. Usually, it is the ratio of Fourier or Laplace transforms. The wavelet transfer function is proposed in this work. In th...
TL;DR: In this article, the unsteady flow in an ultra-low specific-speed centimeter centimeter flow was studied. And the authors provided a comprehensive understanding of the pressure fluctuation-vortex interaction in non-cavitation and cavitation flow.
Abstract: To provide a comprehensive understanding of the pressure fluctuation–vortex interaction in non-cavitation and cavitation flow, in this article, the unsteady flow in an ultra-low specific-speed cent...
TL;DR: In this article, the homotopy perturbation method with an auxiliary term is applied to obtain an approximate analytical solution for the tangent nonlinear packaging system, which is used to further raise the accuracy of the solu...
Abstract: The homotopy perturbation method with an auxiliary term is applied to obtain an approximate analytical solution for the tangent nonlinear packaging system. To further raise the accuracy of the solu...
TL;DR: It was found that despite acoustic measurements were heavily corrupted by measurement noise, the use of the combined general linear chirplet transform method provided more accurate fault severity assessment compared to other commonly used diagnostic methods: continuous wavelet transform and pseudo Wigner–Ville distribution methods.
Abstract: This work is aimed to develop a parameterized time–frequency analysis method combined with vibration and acoustic measurements for gear fault diagnosis. To achieve this aim, the work introduces the...
TL;DR: In this article, a micro/nano scale capillary flow in a hollow fiber and its oscillation was studied, where the hollow fiber is immersed into a liquid (e.g. water), and the isolated air in the fiber plays as a spr...
Abstract: This paper studies a micro/nano scale capillary flow in a hollow fiber and its oscillation. The hollow fiber is immersed into a liquid (e.g. water), and the isolated air in the fiber plays as a spr...