Article
Engineering, Mechanical
Ya-Hui Sun, Yongtao Sun, Yong-Ge Yang, Wei Xu
Summary: This study investigates the bifurcation control and stability analysis of a hybrid energy harvester with fractional-order PID controller subjected to Gaussian white noise excitations. An approximately equivalent dimensionally reduced system is formulated, and its approximate stationary solutions are derived through the stochastic averaging method. The proposed procedure is validated through a detailed example, showing that the analytical results provide a good approximation to the numerical simulation results. The influences of system parameters on the stochastic bifurcation and the asymptotic Lyapunov stability are also discussed.
PROBABILISTIC ENGINEERING MECHANICS
(2023)
Article
Acoustics
Hongxiang Hu, Lincong Chen, Jiamin Qian
Summary: This paper presents a novel viscoelastic nonlinear energy sink (VNES) device for vibration control of structures. The random vibration of a nonlinear oscillator with a VNES device is analyzed, and the mathematical model of the structure-VNES is formulated. The averaged Ito equations associated with the amplitude envelopes are obtained using the stochastic averaging method. The effects of system parameters and noise intensity on the stationary response are examined, and the performance and robustness of the VNES are highlighted by comparing with other devices.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Physics, Multidisciplinary
H. R. Marasi, M. H. Derakhshan, A. Soltani Joujehi, Pushpendra Kumar
Summary: In this paper, two arrays containing the coefficients of fractional Adams-Bashforth and Adams-Moulton methods are proposed, along with recursive relations for generating the elements of these arrays. These arrays are then applied to construct higher-order fractional linear multi-step methods in a general form, with expanded stability regions. The effectiveness of the new method is demonstrated through a comparative test problem against existing results.
Article
Mathematics, Interdisciplinary Applications
Ya-Hui Sun, Yong-Ge Yang, Ling Hong, Wei Xu
Summary: This paper introduces a method for response analysis of a fractional-order vibro-impact system subject to colored noise, addressing the challenge of dealing with fractional derivatives of absolute value functions after nonsmooth transformations by introducing Fourier transformation and deriving approximate probabilistic solutions. The reliability of the technique is assessed through numerical solutions, and critical conditions of stochastic bifurcations induced by system parameters are presented, along with bifurcation diagrams in two-parameter planes. Stochastic bifurcations are found to be induced by fractional order, coefficient of restitution factor, and correlation time of colored noise excitation.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
(2021)
Article
Engineering, Multidisciplinary
Ruifan Meng, Liu Cao, Qindan Zhang
Summary: In this study, the variable-order fractional viscoelastic models were comprehensively investigated, focusing on the influence of order function parameters. The models were derived based on the theory of constant-order fractional viscoelasticity, and the effect of the order function, particularly the linear order function, was studied. Different viscoelastic behaviors were considered, and the sensitivity of these behaviors to the parameters in the linear order function was analyzed. The proposed models were validated using experimental data and found to accurately describe the viscoelastic behaviors under various loading conditions, with the fractional order providing insight into the material's mechanical properties evolution.
APPLIED MATHEMATICAL MODELLING
(2023)
Article
Mathematics, Applied
Nikolai Leonenko, Igor Podlubny
Summary: In this work, the authors extend the recently introduced Monte Carlo method for orders higher than one in differentiation. Two approaches were developed: one based on interpreting the coefficients as signed probabilities and the other utilizing the semi-group property. Both methods were implemented in MATLAB and validated through examples of fractional-order differentiation of various functions.
FRACTIONAL CALCULUS AND APPLIED ANALYSIS
(2022)
Article
Engineering, Mechanical
Yong-Ge Yang, Mei-Ling Huang, Shu-Ling Guo, Ya-Hui Sun
Summary: This paper investigates the probabilistic response and stochastic bifurcation of a hybrid piezoelectric and electromagnetic energy harvester with viscoelastic term. The study provides insights into the effect of viscoelastic parameters, damping coefficients, and electromagnetic coupling coefficients on the system's stochastic P-bifurcation and explores the impact of system parameters on mean square current, mean square voltage, and mean output power.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2023)
Article
Mathematics, Applied
G. Arthi, K. Suganya
Summary: This article focuses on the controllability of linear and nonlinear higher order stochastic fractional control delay systems with Caputo fractional derivative, utilizing the MLF and BDG inequality. By applying the Banach fixed point theorem, an exact method to design stochastic perturbations for control is established for the considered nonlinear higher order fractional differential systems. The derived design is illustrated with two numerical examples.
APPLIED MATHEMATICS AND COMPUTATION
(2021)
Article
Automation & Control Systems
Taotao Hu, Zheng He, Xiaojun Zhang, Shouming Zhong, Xueqi Yao
Summary: This paper investigates the delay-dependent stability analysis of fractional-order systems with time-varying delay by proposing novel fractional-order integral inequalities and designing Lyapunov-Krasovskii functions to reduce conservatism, deriving delay-dependent criteria to achieve asymptotic stability of systems with time-varying delay.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2021)
Article
Acoustics
Jiancheng Wu, Xianbin Liu
Summary: This paper investigates moment stability of a plate with viscoelasticity by calculating pth moment Lyapunov exponents to evaluate stability boundaries and stability indexes of the system. The analytical expressions are shown to agree well with numerical results.
JOURNAL OF SOUND AND VIBRATION
(2021)
Review
Engineering, Mechanical
Xiaolin Yuan, Yongguang Yu, Zhenzhen Lu, Guojian Ren
Summary: This paper investigates the mean-square asymptotic stability problem of fractional-order nonlinear stochastic dynamic systems in Hilbert space. Sufficient stability conditions based on the Mittag-Leffler function and eigenvalues are established. Numerical examples are performed to verify the proposed theoretical results.
NONLINEAR DYNAMICS
(2023)
Article
Mathematics, Interdisciplinary Applications
Kang Xu, Liping Chen, Antonio M. Lopes, Mingwu Wang, Ranchao Wu, Min Zhu
Summary: This study proposes a new fractional-order Zener (AEF-Zener) model to accurately consider the influence of ambient temperature on VE dampers. By analyzing the influence of fractional orders on the energy dissipation ability of materials, an equivalent AEF-Zener model is developed, incorporating the ambient temperature and fractional-order equivalence principle. The model parameters are determined using the chaotic fractional-order particle swarm optimization (CFOPSO) algorithm. The accuracy of the AEF-Zener model is verified by comparing model simulations with experimental results. This study is helpful for designing and analyzing vibration reduction techniques for civil structures with VE dampers under the influence of temperature.
FRACTAL AND FRACTIONAL
(2023)
Article
Engineering, Mechanical
Yong-Ge Yang, Ya-Hui Sun, Wei Xu
Summary: This article focuses on the stochastic response and bifurcation of a fractional-order friction-damped system under Gaussian white noise excitation. An approximate approach is proposed to study the system using variable transformations and stochastic averaging method, with one example to demonstrate its effectiveness. The stochastic bifurcation phenomenon induced by the fractional order, fractional coefficient, and other system parameters is explored through critical conditions, highlighting the differences in bifurcation regions between fractional-order and integer-order models.
NONLINEAR DYNAMICS
(2021)
Article
Mathematics, Interdisciplinary Applications
Harendra Singh, Dumitru Baleanu, Jagdev Singh, Hemen Dutta
Summary: The study examines a non-integer order smoking model using an iterative scheme, discussing the stability of the model and the efficiency of the iterative scheme used. The proposed technique is found to have high accuracy and low computational cost, with figures showing the fractional time behavior of the solution.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Engineering, Mechanical
Ming Xu
Summary: The study analyzed the random response of a DE spherical balloon under electrical and/or mechanical disturbances, discussed the influences of pressure and voltage on equilibrium positions, revealed the relationship between resonant frequency and viscoelasticity, and calculated the probabilistic density function of the stretch ratio through stochastic averaging.
PROBABILISTIC ENGINEERING MECHANICS
(2021)
Article
Acoustics
Sandip Chajjed, Mohammad Khalil, Dominique Poirel, Chris Pettit, Abhijit Sarkar
Summary: This paper reports the generalization of the Bayesian formulation of the flutter margin method, which improves the predictive performance by incorporating the joint prior of aeroelastic modal parameters. The improved algorithm reduces uncertainties in predicting flutter speed and can cut cost by reducing the number of flight tests.
JOURNAL OF SOUND AND VIBRATION
(2024)
Article
Acoustics
Pascal Zeise, Bernhard Schweizer
Summary: Air ring bearings are an improved version of classical air bearings, providing better damping behavior and allowing operation above the linear threshold speed of instability. However, there is a risk of dangerous vibrations in certain rotor systems, which can be addressed by considering ring tilting effects.
JOURNAL OF SOUND AND VIBRATION
(2024)
Article
Acoustics
Zbynek Sika, Jan Krivosej, Tomas Vyhlidal
Summary: This paper presents a novel design of a compact six degrees of freedom active vibration absorber with six identical eigenfrequencies. The objective is to completely suppress the vibration of a machine structure with six motion components. By utilizing a Stewart platform structure equipped with six active legs, a spatial unifrequency absorber with six identical eigenfrequencies is achieved. The design is optimized using a correction feedback and active delayed resonator feedback.
JOURNAL OF SOUND AND VIBRATION
(2024)
Article
Acoustics
Kai Li, Yufeng Liu, Yuntong Dai, Yong Yu
Summary: This paper presents a novel light-powered self-oscillating liquid crystal elastomer (LCE) bow that can self-oscillate continuously and periodically under steady illumination. The dynamics of the LCE bow are theoretically investigated and numerical calculations predict its motion regimes. The suggested LCE bow offers potential advantages in terms of simple structure, customizable size, flexible regulation, and easy assembly.
JOURNAL OF SOUND AND VIBRATION
(2024)
Article
Acoustics
Carmelo Rosario Vindigni, Giuseppe Mantegna, Calogero Orlando, Andrea Alaimo
Summary: In this study, a simple adaptive flutter suppression system is designed to increase the operative speed range of a wing-aileron aeroelastic plant. The system achieves almost strictly passivity by using a parallel feed-forward compensator implementation and the controller parameters are optimized using a population decline swarm optimization algorithm. Numerical simulations prove the effectiveness of the proposed simple adaptive flutter suppression architecture in different flight scenarios.
JOURNAL OF SOUND AND VIBRATION
(2024)
Article
Acoustics
Nicco Ulbricht, Alain Boldini, Peng Zhang, Maurizio Porfiri
Summary: The quantification of fluid-structure interactions in marine structures is crucial for their design and optimization. In this study, an analytical solution for the free vibration of a bidirectional composite in contact with a fluid is proposed. By imposing continuity conditions and boundary conditions, the coupled fluid-structure problem is solved and applied to sandwich structures in naval construction, offering insights into the effects of water on mode shapes and through-the-thickness profiles of displacement and stress.
JOURNAL OF SOUND AND VIBRATION
(2024)
Article
Acoustics
Shahram Hadian Jazi, Mostafa Hadian, Keivan Torabi
Summary: Non-uniformity and damage are the main focus in studying vibrations of beam elements. An exact closed-form explicit solution for the transverse displacement of a nonuniform multi-cracked beam is introduced using generalized functions and distributional derivative concepts. By introducing non-dimensional parameters, the motion equation and its closed-form solution are obtained based on four fundamental functions. The impact of crack count, location, intensity, and boundary conditions on natural frequency and mode shape is evaluated through numerical study.
JOURNAL OF SOUND AND VIBRATION
(2024)
Article
Acoustics
Eugenio Tramacere, Marius Pakstys, Renato Galluzzi, Nicola Amati, Andrea Tonoli, Torbjoern A. Lembke
Summary: This paper proposes the experimental stabilization of electrodynamic maglev systems by means of passive components, providing key technological support for the Hyperloop concept of high-speed and sustainable transportation.
JOURNAL OF SOUND AND VIBRATION
(2024)
Article
Acoustics
Pengfei Deng, Xing Tan, He Li
Summary: In this paper, the authors improve the surface morphology method and study the bit-rock interaction model between the rock and the PDC bit, taking into account the impact of blade shape and cutter arrangement. They establish a dynamic model for a deep drilling system equipped with an arbitrary shape PDC bit and propose a stability prediction method. The results show that the shape of the blades and arrangement of the cutters on the PDC bit significantly affect the nonlinear vibration of the drilling system.
JOURNAL OF SOUND AND VIBRATION
(2024)
Article
Acoustics
Salvador Rodriguez-Blanco, Javier Gonzalez-Monge, Carlos Martel
Summary: In modern LPT designs, the simultaneous presence of forced response and flutter in different operation regimes is unavoidable. Recent evidence suggests that the traditional linear superposition method may be overly conservative. This study examines the flutter and forced response interaction in a realistic low pressure turbine rotor and confirms that the actual response is much smaller than that predicted by linear superposition.
JOURNAL OF SOUND AND VIBRATION
(2024)
Article
Acoustics
Kabilan Baskaran, Nur Syafiqah Jamaluddin, Alper Celik, Djamel Rezgui, Mahdi Azarpeyvand
Summary: This study investigates the impact of the number of blades on the aeroacoustic characteristics and aerodynamic performance of propellers used in urban air mobility vehicles. The results show that different blade numbers exhibit distinct noise levels, providing valuable insights for further research on propeller noise and aerodynamic performance.
JOURNAL OF SOUND AND VIBRATION
(2024)
Article
Acoustics
Yongbo Peng, Peifang Sun
Summary: This study focuses on the reliability-based design optimization (RBDO) of the tuned mass-damper-inerter (TMDI) system under non-stationary excitations. The performance of the optimized TMDI system is evaluated using probability density evolution analysis. The results demonstrate the technical advantages of TMDI, including high vibration mitigation performance, considerable mass reduction, and less stroke demand.
JOURNAL OF SOUND AND VIBRATION
(2024)
Article
Acoustics
Guanfu Lin, Zhong-Rong Lu, Jike Liu, Li Wang
Summary: Vision-based measurement is an emerging method that enables full-field measurement with non-contact and high spatial resolution capabilities. This paper presents a single-camera method for measuring out-of-plane vibration of plate structures using motion-parametric homography to capture image variation and displacement response.
JOURNAL OF SOUND AND VIBRATION
(2024)
Article
Acoustics
Bronislaw Czaplewski, Mateusz Bocian, John H. G. Macdonald
Summary: Despite two decades of study, there is currently no model that can quantitatively explain pedestrian-generated lateral forces. This research proposes a foot placement control law based on empirical data to calibrate and generalize the rigid-leg inverted pendulum model (IPM) for predicting lateral structural stability.
JOURNAL OF SOUND AND VIBRATION
(2024)
Article
Acoustics
Justine Carpentier, Jean-Hugh Thomas, Charles Pezerat
Summary: This paper proposes an improved method for the identification of vibration sources on a car window using the corrected force analysis technique. By redefining inverse methods in polar coordinates, more accurate results can be obtained.
JOURNAL OF SOUND AND VIBRATION
(2024)