Article
Engineering, Mechanical
Hui Huo, Zhenjun Liu, Anze Xu, Guohai Chen, Dixiong Yang
Summary: This paper investigates the analytical stochastic responses of rectangular Mindlin plates under random excitations and derives corresponding analytical methods. The performance of the proposed approaches is verified by comparison, revealing the effects of spatial distributions of excitations and parameters on the responses.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2023)
Article
Engineering, Multidisciplinary
A. Nikkhoo, Sh. Banihashemi, K. Kiani
Summary: This paper investigates the dynamic analysis of cracked thin rectangular plates subjected to a moving mass. The eigenfunction expansion method is employed, and a combination of intact plate orthogonal polynomials and corner functions is used to solve the governing equation. Parametric investigations show that the moving mass has a greater impact on the dynamic responses of cracked thin rectangular plates, and there are non-monotonous nonlinear relations between various parameters.
Article
Mathematics, Applied
S. A. Eftekhari
Summary: A simple finite element procedure is introduced to solve the free vibration problem of rectangular plates by reducing the original plate problem to two simple beam problems and discretizing each beam problem separately using one-dimensional FEM. The proposed approach is easier to implement and demonstrates reliability and applicability through simulations of different boundary conditions, showing excellent agreement with existing analytical and numerical results.
APPLIED MATHEMATICS AND COMPUTATION
(2021)
Article
Engineering, Civil
Jingxiong Wang, Hongjing Li, Guangjun Sun, Lu Han
Summary: This paper presents a novel higher-order C-1 continuous Chebyshev spectral element method for the free vibration analysis of rectangular thin plates with corner and inner cutouts. The element displacement field is constructed using Hermite interpolation functions through nonuniformly distributed Chebyshev nodes to achieve C-1 continuity at the interfaces of adjacent elements. A Gauss-Lobatto type quadrature is used for efficient evaluation of the element matrices. Comparative analysis shows that the proposed method exhibits good convergence and accuracy. The influence of cutout size, location, and eccentric ratio on the natural vibration characteristics of plates is investigated.
THIN-WALLED STRUCTURES
(2022)
Article
Mechanics
Michio Innami, Shinya Honda, Katsuhiko Sasaki, Yoshihiro Narita
Summary: An accurate and straightforward analytical method is proposed for the free vibration analysis of laminated composite rectangular plates with blended layers. The method is verified through numerical comparisons and tested in vibration optimization, showing that the introduction of blended layers is an effective approach to design the dynamic characteristics of laminated composite plates.
COMPOSITE STRUCTURES
(2021)
Article
Materials Science, Multidisciplinary
Xiaofan Wang, Haojie Chen, Yuhang Yin, Yongdu Ruan, Shan Zhu, Chuanjie Hu, Huanyang Chen
Summary: A multiband elastic waveguide cloak that utilizes metamaterials is introduced for controlling vibration intensity. By converting flexural waves to waveguide-trapped waves, a cloaking region with negligible vibration is created, providing a new approach to modulating elastic waves. The design has a compact structure, exhibits multiband performance, and is highly suitable for vibration control in various scenarios.
ADVANCED ENGINEERING MATERIALS
(2023)
Review
Engineering, Mechanical
Yufeng Xing, Gen Li, Ye Yuan
Summary: This paper presents a review of typical analytical solution methods for eigenvalue problems of rectangular plates. It mainly focuses on non Levy-type methods and compares them in terms of mode function forms, principles, features, and application scopes. Numerical results showed that all methods can obtain highly-accurate frequencies and mode functions.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2022)
Article
Acoustics
Dongqi An, Zhuofan Ni, Dian Xu, Rui Li
Summary: This study presents new straightforward benchmark solutions for bending and free vibration of clamped anisotropic rectangular thin plates by a double finite integral transform method. The method uses exponential functions as integral kernels and overcomes the difficulty in solving higher-order partial differential equations with odd derivatives with respect to both in-plane coordinate variables. The accuracy and validity of the new solutions are well confirmed by satisfactory comparison with numerical solutions.
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME
(2022)
Article
Mechanics
Brandon A. Furman, Benjamin D. Hill, Emma E. German, Onome Scott-Emuakpor, Ryan B. Berke
Summary: This study investigates the performance of rectangular plates driven in the two-stripe mode, revealing that rectangular plates with a length-to-width ratio of 1.37 exhibit more favorable stress distributions and frequency isolation compared to square plates. The results of the study, validated through simulations and experimental testing, provide recommendations on selecting suitable plate dimensions for testing based on operating frequencies.
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
(2021)
Article
Acoustics
Xin Su, Eburilitu Bai
Summary: The free vibration of orthotropic rectangular thin plates with four free edges on two-parameter elastic foundations is studied using the symplectic superposition method. The original vibration problem is converted into two sub-vibration problems by analyzing the boundary conditions, and the fundamental solutions of these sub-vibration problems are obtained using the separation variable method. The symplectic superposition solution of the original vibration problem is then obtained by superimposing the fundamental solutions of the sub-problems.
JOURNAL OF VIBRATION AND CONTROL
(2022)
Article
Thermodynamics
Ruqi Sun, Shengxi Zhou, Li Cheng
Summary: With the increasing demand for clean and sustainable energy, self-powered technologies based on environmental vibrations have recently gained attention. This paper provides a state-of-the-art review on ultra-low frequency vibration energy harvesters and their enhancement methods. Various issues, such as principle-based structural optimization, transducer property improvement, and hybrid harvester combination, are discussed to improve the low energy conversion efficiency of ultra-low frequency vibrations. Scaling laws, challenges, and future prospects are presented to promote the development of these harvesters.
ENERGY CONVERSION AND MANAGEMENT
(2023)
Article
Engineering, Civil
Avinkrishnan Vijayachandran, Othman Oudghiri-Idrissi, Hrishikesh Danawe, Xiaoming Mao, Ellen Arruda, Serife Tol, Anthony M. Waas
Summary: The study investigates the impact of creasing, crumpling, and folding on the flexural rigidity of thin elastic plates. It introduces an analysis of a structured plate with creases and reveals a significant increase in the fundamental frequency compared to a flat configuration. Scaling laws are also proposed for such structured plates, and an optimization problem is solved to achieve maximum flexural stiffness. The results show promising improvements in stiffness with minimal increase in mass/surface area.
THIN-WALLED STRUCTURES
(2024)
Article
Mechanics
Gen Li, Yufeng Xing
Summary: This paper develops an extended separation-of-variable (SOV) method for the free vibration analysis of rectangular Reddy plates. The method provides closed-form analytical solutions and is exact for plates with simply supported boundaries. The method is compared with other approximate and analytical methods, showing good agreement with existing literature.
COMPOSITE STRUCTURES
(2022)
Article
Physics, Fluids & Plasmas
J. L. Lopez-Gonzalez, J. A. Franco-Villafane, R. A. Mendez-Sanchez, G. Zavala-Vivar, E. Flores-Olmedo, A. Arreola-Lucas, G. Baez
Summary: Wave chaos appears in the bending spectrum of free rectangular thin plates, where frequency levels belonging to different symmetry classes cross each other and show only avoided crossings within the same symmetry sector. The distribution of consecutive level spacings ratio is found to disagree with the expected Poissonian result, but agrees with the prediction of the Rosenzweig-Porter model. Experimental results on aluminum plates show excellent agreement with numerical predictions, and the Poissonian distribution is recovered for the simply supported rectangular plate.
Article
Engineering, Mechanical
Jiaran Liu, Luxin Li, Jian Peng, Guohai Chen, Dixiong Yang
Summary: In this study, the novel direct probability integral method (DPIM) is proposed to tackle the stationary/nonstationary random vibration responses and dynamic reliability analyses of thin plate structures coupling geometrical nonlinearity and multisource randomness. Several numerical examples demonstrate the high accuracy and efficiency of the proposed approach. The effects of structural parameters and random excitation on the probability density functions of nonlinear deflections are revealed, and stochastic P-bifurcation is observed in the nonlinear random vibration analysis of thin plates.
NONLINEAR DYNAMICS
(2023)
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)