Showing papers in "Journal of Vibration and Control in 2016"
TL;DR: Comparative study shows the potential application of proposed methodology with machine learning techniques for the development of real time system to diagnose fault and it’s severity in ball bearings.
Abstract: The present study attempts to diagnose severity of faults in ball bearings using various machine learning techniques, like support vector machine (SVM) and artificial neural network (ANN). Various features are extracted from raw vibration signals which include statistical features such as skewness, kurtosis, standard deviation and measures of uncertainty such as Shannon entropy, log energy entropy, sure entropy, etc. The calculated features are examined for their sensitivity towards fault of different severity in bearings. The proposed methodology incorporates extraction of most appropriate features from raw vibration signals. Results revealed that apart from statistical features uncertainty measures like log energy entropy and sure entropy are also good indicators of variation in fault severity. This work attempts to classify faults of different severity level in each bearing component which is not considered in most of the previous studies. Classification efficiency achieved by proposed methodology is c...
107 citations
TL;DR: In this paper, a new numerical method for solving fractional optimal control problems (FOCPs) based on Bernoulli polynomials is presented. But this method is not suitable for solving FOCP problems in the real world.
Abstract: This paper presents a new numerical method for solving fractional optimal control problems (FOCPs). The fractional derivative in the dynamic system is described in the Caputo sense. The method is based upon Bernoulli polynomials. The operational matrices of fractional Riemann–Liouville integration and multiplication for Bernoulli polynomials are derived. The error upper bound for the operational matrix of the fractional integration is also given. The properties of Bernoulli polynomials are utilized to reduce the given optimization problems to the system of algebraic equations. By using Newton’s iterative method, this system is solved and the solution of FOCPs are achieved. Illustrative examples are included to demonstrate the validity and applicability of the technique.
99 citations
TL;DR: This paper aims to solve the optimal tracking control problem for the Henon Mapping chaotic system using the direct heuristic dynamic programming (DHDP) setting with filtered tracking error using the fuzzy logic system to approximate the long-term utility function.
Abstract: In this paper, we aim to solve the optimal tracking control problem for the Henon Mapping chaotic system using the direct heuristic dynamic programming (DHDP) setting with filtered tracking error. The fuzzy logic system is used to approximate the long-term utility function. Compared with the results for chaotic discrete-time system, the cost of the controller is reduced. The Lyapunov analysis approach is utilized to prove the stability of the chaotic system. It is shown that the tracking error, the adaptation law and the control input retain the property of uniformly ultimate boundedness. A simulation example is given to demonstrate the effectiveness of the proposed approach.
96 citations
TL;DR: The vibrations of circular, annular, and sector plates are traditionally considered as different boundary value problems and often treated using different solution algorithms and procedures as mentioned in this paper, and the vibrations of these plates are considered as boundary value functions.
Abstract: The vibrations of circular, annular, and sector plates are traditionally considered as different boundary value problems and often treated using different solution algorithms and procedures. This p...
83 citations
TL;DR: In this paper, a novel fractional-order nonsingular terminal sliding mode (FO-NTSM) was proposed for trajectory tracking control of rigid hydraulic manipulators under heavy uncertainties and nonlinearities.
Abstract: For the trajectory tracking control problem of rigid hydraulic manipulators under heavy uncertainties and nonlinearities, a novel fractional-order nonsingular terminal sliding mode (FO-NTSM) contro...
82 citations
TL;DR: In this paper, a gradient boosted machine (GBM) model was developed for the classification of residential structure damage (RSD) due to blasting vibration damage assessment systems, and the results showed that the GBM model was effective in detecting RSD.
Abstract: Owing to the complex features of blasting vibration damage assessment systems, a gradient boosted machine (GBM) model is developed for the classification of residential structure damage (RSD) due t...
81 citations
TL;DR: In this article, the Jacobi polynomials were used to solve fractional variational problems and fractional optimal control problems (FOCPs) from the numerical point of view.
Abstract: The aim of this paper is to investigate, from the numerical point of view, the Jacobi polynomials to solve fractional variational problems (FVPs) and fractional optimal control problems (FOCPs). A ...
79 citations
TL;DR: In this paper, a new theory of thermoelasticity has been derived based on fractional order of strain (fraction order Duhamel-Neumann stress-strain relation).
Abstract: In this work, a new theory of thermoelasticity has been derived based on fractional order of strain (fraction order Duhamel-Neumann stress-strain relation). A new unified system of differential equ...
77 citations
TL;DR: The chaotic time series of fractional order is used in the scrambling technique and a novel image encryption scheme is designed, which shows that the encrypted scheme is highly secure.
Abstract: Chaos in discrete fractional maps has been reported very recently. In this study, the chaotic time series of fractional order is used in the scrambling technique and a novel image encryption scheme...
71 citations
TL;DR: In this article, an optimal adaptive fuzzy sliding mode controller is presented for a class of nonlinear systems, in which the boundaries of parametric uncertainties are defined by a Gaussian distribution.
Abstract: In this paper, an optimal adaptive fuzzy sliding mode controller is presented for a class of nonlinear systems. In the proposed control, in the beginning, the boundaries of parametric uncertainties...
68 citations
TL;DR: In this paper, a fractional-order modeling approach for a permanent magnet synchronous motor speed servo system is proposed applying a method combining electromagnetic part modeling and mechanical part modeling, and system identification experiments are performed on the electromagnetic part and the mechanical part of the PMS.
Abstract: A fractional-order modeling approach for a permanent magnet synchronous motor speed servo system is proposed applying a method combining electromagnetic part modeling and mechanical part modeling. Based on the proposed fractional-order model and system identification scheme, system identification experiments are performed on the electromagnetic part and the mechanical part of the permanent magnet synchronous motor speed servo system, respectively. The fractional-order model parameters of these two parts are identified with these experimental results, and the fractional-order model of the permanent magnet synchronous motor speed servo system is integrated from these two parts. Simulations and experiments in open-loop and closed-loop are performed based on the obtained fractional-order model and integer-order model. The advantage of the proposed fractional-order model for the permanent magnet synchronous motor speed servo system is demonstrated by the simulation and experimental results.
TL;DR: In this article, the buckling and vibration analysis of a double-bonded nanocomposite piezoelectric plate reinforced by a boron nitride nanotube based on the Eshelby-Mori-Tanaka approach is developed using modified couple stress theory under electro-thermo-mechanical loadings surrounded by an elastic foundation.
Abstract: In this article, the buckling and vibration analysis of a double-bonded nanocomposite piezoelectric plate reinforced by a boron nitride nanotube based on the Eshelby-Mori-Tanaka approach is developed using modified couple stress theory under electro-thermo-mechanical loadings surrounded by an elastic foundation. Using Hamilton's principle, the governing equations of motion are obtained by applying a modified couple stress theory and the Eshelby-Mori-Tanaka approach for piezoelectric material and Kirchhoff plate. These equations are coupled for the double-layer plate using the Pasternak foundation and solved using Navier’s type solution. Then the dimensionless frequencies and critical buckling load for simply-supported boundary conditions are obtained. The effects of material length scale parameter, elastic foundation coefficients, aspect ratio (a/b), length to thickness ratio (a/h), transverse and longitudinal wave numbers on the dimensionless natural are investigated. The dimensionless frequency of a dou...
TL;DR: Delamination is a common damage in fiber reinforced composite laminates that can substantially reduce the structural stiffness which changes the dynamic response as discussed by the authors, which can be considered as a form of structural deformation.
Abstract: Delamination is a common damage in fibre reinforced composite laminates, usually hidden from external view, that can substantially reduce the structural stiffness which changes the dynamic response...
TL;DR: In this paper, the dynamical interactions of a double pendulum arm and an electromechanical shaker are investigated, and the robustness of these two controllers is tested by a sensitivity analysis to parametric uncertainties.
Abstract: In this paper the dynamical interactions of a double pendulum arm and an electromechanical shaker is investigated. The double pendulum is a three degree of freedom system coupled to an RLC circuit based nonlinear shaker through a magnetic field, and the capacitor voltage is a nonlinear function of the instantaneous electric charge. Numerical simulations show the existence of chaotic behavior for some regions in the parameter space and this behaviour is characterized by power spectral density and Lyapunov exponents. The bifurcation diagram is constructed to explore the qualitative behaviour of the system. This kind of electromechanical system is frequently found in robotic systems, and in order to suppress the chaotic motion, the State-Dependent Riccati Equation (SDRE) control and the Nonlinear Saturation control (NSC) techniques are analyzed. The robustness of these two controllers is tested by a sensitivity analysis to parametric uncertainties.
TL;DR: In this paper, the authors investigated the closed-form solution of the dynamic response of a damaged simply supported beam subjected to a moving load and examined the effects of the loss of local stiffness on these two components.
Abstract: The dynamic response of a beam under a moving load is a superposition of two components, namely, the moving-frequency component corresponding to the moving load and the natural-frequency component of the beam. This study investigates the closed-form solution of the dynamic response of a damaged simply supported beam subjected to a moving load and examines the effects of the loss of local stiffness on these two components. The study provides deep insights into beam damage detection based on moving load-induced response. Consequently, a simple and intuitive method for damage localization is developed. First, the closed-form solution is derived based on the modal perturbation and modal superposition method. The closed-form solution enables the individual examination of damage-induced changes in moving- and natural-frequency components. The results show that the moving-frequency component is preferred in damage localization. Then, multi-scale discrete wavelet transform is employed to separate the moving-frequ...
TL;DR: In this paper, active constrained layer damping (ACLD) of smart laminated fuzzy fiber reinforced composite (FFRC) plates is investigated for the case of FLCs.
Abstract: This article is concerned with the investigation of active constrained layer damping (ACLD) of smart laminated fuzzy fiber reinforced composite (FFRC) plates. The distinctive feature of the constru...
TL;DR: In this paper, the differential equations for free bending for beams with variable or constant cross-section were presented. But the analysis of free bending was limited to a single beam with variable cross-sectional area.
Abstract: To perform vibration analysis, many structures could be modeled entirely or partially as beams with variable or constant cross section. In this study, the differential equations for free bending vi...
TL;DR: In this article, the instantaneous angular speed (IAS)-based fault diagnosis is introduced in order to compensate for the shortcoming of conventional monitoring techniques since it is strictly synchronized to shaft rotation and much less dependent on the transfer path between the defect and the sensor.
Abstract: The fault diagnosis and prognosis of low speed machines remains a difficult problem despite remarkable advances in the conditional monitoring domain. The Rolling-element bearing is a vital part of these machines and its failure is one of the main causes of machine breakdown. In order to have an efficient maintenance strategy, fault diagnosis of a bearing and time estimation of its remaining useful life is needed. However, conventional vibration analysis at very low speeds generally fails to detect vibrations issued from a faulty bearing due to its low energy, high and variable loading conditions and to the noisy environment generated by other mechanical components of low speed machines such as gearing systems. In this work, instantaneous angular speed (IAS)-based fault diagnosis is introduced in order to compensate for the shortcoming of conventional monitoring techniques since it is strictly synchronized to shaft rotation and much less dependent on the transfer path between the defect and the sensor cont...
TL;DR: In this article, a unified formulation of finite prism methods based on Reissner's mixed variational theorem is developed for the 3D free vibration analysis of functionally graded (FG) carbon nanotube-reinforced composite (CNTRC) plates and laminated fiber reinforced composite (FRC) plates, the edge conditions of which are considered such that one pair of opposite edges is simply supported and the other pair may be combinations of free, clamped or simply supported edges.
Abstract: A unified formulation of finite prism methods (FPMs) based on Reissner's mixed variational theorem is developed for the three-dimensional (3D) free vibration analysis of functionally graded (FG) carbon nanotube-reinforced composite (CNTRC) plates and laminated fiber-reinforced composite (FRC) plates, the edge conditions of which are considered such that one pair of opposite edges is simply supported and the other pair may be combinations of free, clamped or simply supported edges. The single-walled carbon nanotubes (CNTs) and polymer are regarded as the reinforcements and matrices, respectively, to produce the CNTRC plate. Four different distributions of CNTs varying in the thickness direction are considered (i.e. the uniformly distributed, and FG V-, rhombus-, and X-type variations), and the through-thickness distributions of effective material properties of the CNTRC plate are determined using the rule of mixtures. In the formulation, the CNTRC/FRC plate is divided into a number of finite prisms in the ...
TL;DR: In this paper, the operational matrices of the left Caputo fractional derivative, right Caputo derivative and Riemann-Liouville fractional integral for shifted Legendre polynomials are presented.
Abstract: In this paper we present the operational matrices of the left Caputo fractional derivative, right Caputo fractional derivative and Riemann–Liouville fractional integral for shifted Legendre polynom...
TL;DR: In this paper, the free vibration responses of functionally graded single/doubly curved shell panels are computed based on higher order shear deformation theory and Green-Lagrange type nonlinearity.
Abstract: Nonlinear free vibration responses of functionally graded single/doubly curved shell panels are computed based on higher order shear deformation theory and Green-Lagrange type nonlinearity. The material properties of functionally graded materials are obtained based on the Voigt model in conjunction with power-law distribution for a smooth variation of material along with the thickness coordinate. The governing equation of the vibrated curved panel has been obtained using Hamilton’s principle. The model has been discretized using a nine node quadrilateral Lagrangian shell element and solved numerically using a direct iterative method. The convergence and comparison behavior of the nonlinear model has been checked by comparing the responses with the published literature. The influence of the power-law index, curvature ratio, thickness ratio, aspect ratio, amplitude ratio and support conditions on the nonlinear responses of cylindrical, elliptical and hyperbolic shell panels are discussed.
TL;DR: In this paper, a comparison of classic and strain experimental modal analysis (EMA) is made. And the modal parameters (the natural frequencies, the displacement mode shapes (DMSs) and the damping) are compared.
Abstract: This research is focused on a comparison of classic and strain experimental modal analysis (EMA). The modal parameters (the natural frequencies, the displacement mode shapes (DMSs) and the damping)...
TL;DR: In this article, a tuned mass damper (TMD) system for bridge structures is proposed for mitigation of problem related to excessive vibration induced by either wind loading or vehicle loading.
Abstract: Applications of tuned mass damper (TMD) systems for bridge structures are observed for mitigation of problem related to excessive vibration induced by either wind loading or vehicle loading, where ...
TL;DR: In this paper, the mathematical model of an electroni cationic micro-electromechanical system (MEMS) is presented and the model is extended to the case of a single electron.
Abstract: Micro-electromechanical systems (MEMS) are micro scale devices that are able to convert electrical energy into mechanical energy or vice versa. In this paper, the mathematical model of an electroni...
TL;DR: Simulation results are presented to show the efficiency of the proposed scheme as a promising way for controlling similar nonlinear systems and to guarantee the existence of the sliding mode around the linear sliding surface in finite time.
Abstract: This paper presents sliding mode control to achieve finite-time robust-tracking and model-following for uncertain dynamical systems with time-varying state-delays and disturbances. The selection of sliding surface and the existence of the sliding mode are two significant issues, which have been addressed. The control law is designed to guarantee the existence of the sliding mode around the linear sliding surface in finite time. Simulation results are presented to show the efficiency of the proposed scheme as a promising way for controlling similar nonlinear systems.
TL;DR: Fractal signal processing and novelty detection are used for fault detection in rolling element bearings in this paper, where the former applies the concept of self-similarity based on wavelet variance, and the latter is based on machine learning and utilises artificial neural networks.
Abstract: Fractal signal processing and novelty detection are used for fault detection in rolling element bearings. The former applies the concept of self-similarity based on wavelet variance, and the latter is based on machine learning and utilises artificial neural networks. The method is demonstrated using simulated and experimental vibration data. The work presented involves validation both on laboratory test rig data and industrial wind turbine data. The results show that the method can be used successfully for automated fault detection in ball bearings under real operational conditions.
TL;DR: In this article, the authors focus on the application of linear matrix inequality (LMI) in the stabilization of fractional-order chaotic systems and the strict mathematical description and proof of LMI.
Abstract: In this paper, the authors focus on the application of linear matrix inequality (LMI) in the stabilization of fractional-order chaotic systems and the strict mathematical description and proof of L...
TL;DR: In this paper, passive constrained layer damping (PCLD) treatments are widely used in engineering practice, however most of the studies concentrate on vibration suppression and noise suppression, and not on noise reduction.
Abstract: As an effective approach to suppress vibrations and noise, passive constrained layer damping (PCLD) treatments are widely used in engineering practice. However most of the studies concentrate on th...
TL;DR: In this paper, the vibration responses of a partially treated composite magnetorheological (MR) fluid sandwich plate have been investigated and the governing differential equations of motion have been analyzed.
Abstract: In this study, the vibration responses of a partially treated laminated composite magnetorheological (MR) fluid sandwich plate have been investigated. The governing differential equations of motion...
TL;DR: Multi-sensor fusion technology is introduced to establish the recognition framework of D-S evidence theory and the basic belief function allocation method based on the recognition rate of statistical SOM neural network to improve the accuracy and completeness in the identification process.
Abstract: In the work process of mining machinery gears, vibration signals are not only influenced by friction, nonlinear stiffness and non-stationary load, but also influenced by strong noise. How to extrac...