Article
Engineering, Mechanical
Giovanni Iarriccio, Antonio Zippo, Francesco Pellicano, Marco Barbieri
Summary: The paper presents the results of an experimental campaign focused on shell vibrations and investigates the effect of thermal gradients on nonlinear dynamics. Tests show a strong influence of temperature on the dynamic response of the shell, leading to subharmonic, quasi-periodic, and chaotic vibrations as well as large amplitude vibrations.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE
(2021)
Article
Mechanics
Lara Rodrigues, Frederico M. A. Silva, Paulo B. Goncalves
Summary: In this study, the resonant response of an imperfect cylindrical shell is investigated using Donnell's nonlinear shallow shell theory. A reduced order multi degree of freedom model is obtained by discretizing the partial differential equation of motion and capturing the nonlinear modal interactions and couplings. Numerical continuation methods and Floquet theory are used to study the existence, stability, and bifurcations of solutions. It is found that geometric imperfections have a strong influence on the shell's natural frequencies and bifurcations.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2022)
Article
Engineering, Mechanical
Yunfei Liu, Zhaoye Qin, Fulei Chu
Summary: This paper establishes a nonlinear coupled mechanical model to analyze the nonlinear forced vibrations of rotating shells subjected to multi-harmonic excitations in a thermal environment. The effects of main factors on the nonlinear dynamic response of rotating shells are evaluated through numerical simulations and result verification.
NONLINEAR DYNAMICS
(2022)
Article
Acoustics
Q. Dollon, A. Tahan, J. Antoni, M. Gagnon, C. Monette
Summary: This study demonstrates that casing non-uniformities can induce synchronous vibrations in a hydroelectric turbine that are not predicted by standard theory. The authors provide a mathematical background and verify their theory using recorded data, establishing a framework to explain unexpected resonances.
JOURNAL OF SOUND AND VIBRATION
(2023)
Article
Engineering, Mechanical
Jian Zhao, Rongjian Sun, Najib Kacem, Ming Lyu, Pengbo Liu
Summary: Theoretical investigation on multiple internal resonances in three electrostatically coupled microbeams was conducted for multi-channel mass detection. The frequency ratio among the three resonators can be adjusted to achieve multiple internal resonances. A reduced order model considering quadratic nonlinearity and frequency commensurability was established and solved using the method of multiple scales. Nonlinear dynamics involving pitchfork and saddle-node bifurcations were analyzed and utilized for simultaneous detection of single, dual, or multiple masses. A multi-channel single output detection mechanism was proposed, enabling frequency and amplitude shifts of bifurcation points for coupled and uncoupled vibrations to detect dual or even multi-channel masses. The effects of driving and coupling voltages on the system's dynamic response were also obtained.
NONLINEAR DYNAMICS
(2023)
Article
Multidisciplinary Sciences
Mudassar Nauman, Jingshi Yan, Domenico de Ceglia, Mohsen Rahmani, Khosro Zangeneh Kamali, Costantino De Angelis, Andrey E. Miroshnichenko, Yuerui Lu, Dragomir N. Neshev
Summary: Researchers have successfully demonstrated enhanced single-beam second- and third-harmonic generation in a metasurface made of crystalline transition-metal-dichalcogenide material, offering the highest refractive index. The resonances of the metasurface allow for tuning of the unidirectional second-harmonic radiation in a forward or backward direction, presenting new opportunities for metasurface-based nonlinear light sources.
NATURE COMMUNICATIONS
(2021)
Article
Engineering, Mechanical
Yunfei Liu, Zhaoye Qin, Fulei Chu
Summary: This paper presents a new solution approach to address the nonlinear forced vibrations of functionally graded piezoelectric shells in multi-physics fields, considering the effects of micro-voids. By utilizing Hamilton's principle and the Donnell nonlinear shallow shell theory, motion equations are derived, and a novel method combining multi-mode Galerkin scheme and Pseudo-arclength continuation method is employed to solve the nonlinear multiple internal resonances and bifurcations of the systems with multiple degrees of freedom.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2021)
Article
Mathematics, Applied
Youheng Dong, Haiyan Hu, Lifeng Wang, Xiaochen Mao
Summary: This paper investigates the nonlinear coupled multi-mode vibrations of thin-walled and moderately thick cylindrical shells based on nonlinear shell theory and shear deformation theory. Iteration procedure is used to solve the high-dimensional differential equations with quadratic and cubic nonlinearities, and the influence of irregular modes on coupled multi-mode vibrations is analyzed.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Chemistry, Physical
Maxim Sukharev, Elena Drobnyh, Ruth Pachter
Summary: This study investigates the process of second harmonic generation using plasmonic nano-antennas exhibiting Fano-like resonances. Numerical simulations and an analytical model demonstrate that the second order optical response can be significantly enhanced by the antisymmetric mode.
JOURNAL OF CHEMICAL PHYSICS
(2022)
Article
Mechanics
Reza Jahangiri, Mousa Rezaee, Hosein Manafi
Summary: This study investigates the nonlinear and chaotic instability of functionally graded double curved shallow sandwich shells under the simultaneous effect of in-plane and transverse excitations. The study derives the equations of motion and solves them numerically to study the stability of nontrivial solutions and the effect of various parameters on the system response. The study also analyzes the conditions for the occurrence of periodic, double periodic, multi-periodic, and chaotic behaviors by analyzing the characteristic curves and system time response.
COMPOSITE STRUCTURES
(2022)
Article
Mechanics
Paolo Casini, Fabrizio Vestroni
Summary: The paper analyzes the influence of the hysteretic restoring force on the response of two degrees-of-freedom chain systems. It compares the frequency response curves of full and reduced hysteresis cases. The study finds that the strong hysteretic nonlinearity changes the nonlinear frequencies and can lead to internal resonance conditions. In the case of reduced hysteresis, there exists a frequency range of coexisting solutions.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2022)
Article
Engineering, Mechanical
Yeyin Xu, Yinghou Jiao, Zhaobo Chen
Summary: Independent vibrations in nonlinear systems are advantageous for vibration isolation. In this research, a sequence of odd-order independent subharmonic vibrations in a nonlinear flexible rotor system is studied. The stability and bifurcations of the vibrations are discussed, and it is found that the vibrations can effectively suppress global synchronous vibrations.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2022)
Article
Engineering, Mechanical
Flavio Augusto Xavier Carneiro Pinho, Marco Amabili, Zenon Jose Guzman Nunez Del Prado, Frederico Martins Alves da Silva
Summary: This work applies Sanders-Koiter's nonlinear shell theory to study the nonlinear moderate-amplitude vibrations of doubly curved shells. The nonlinear equations of motion are determined using two different approximations of the strain-displacement relations for shallow and non-shallow shells. The backbone curves are obtained using a combination of the multiple shooting method and an Euler-Newtonian predictor-corrector continuation algorithm. The mode influence of selected points on the backbone curves is analyzed, revealing internal resonances and changes in the dynamic behavior of shells undergoing moderate-amplitude vibrations.
NONLINEAR DYNAMICS
(2023)
Article
Mathematics, Applied
Konstantin Avramov
Summary: The study focused on the free nonlinear oscillations of a cantilever cylindrical shell. Different theories and techniques were used to obtain the mathematical model of the structural vibrations, and analyses were conducted accordingly.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
(2021)
Article
Nanoscience & Nanotechnology
Jing He, Yu Sun
Summary: This research explores the nonlinear vibration characteristics of smart nanoshells under multi-phyisical magneto-electric fields, focusing on factors such as nonlocality coefficient, piezoelectric phase percentage, radius of curvature, and electrical/magnetic potential that affect the vibration properties of curved nanoshells. The nano-scale shell is modeled as a thin shell with prescribed curvature based on nonlocal elasticity theory, with the material composition considered as a two phase composite.
ADVANCES IN NANO RESEARCH
(2021)
Article
Engineering, Multidisciplinary
Moaz Sibtain, Kelly Yee, Oscar Zi Shao Ong, Mergen H. Ghayesh, Marco Amabili
Summary: This study investigates the coupled dynamics of a multi-layered microbeam with size-dependent effects. It is found that increasing the power term constant of the material grading or the value of the localized mass imperfection leads to a decrease in the natural frequencies of the microbeam, while increasing the length-scale parameter results in an increase in the natural frequencies of transverse modes.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2023)
Article
Mechanics
Amit Yadav, Marco Amabili, Sarat Kumar Panda, Tanish Dey
Summary: This paper presents the dynamic instability and nonlinear vibration analysis of fluid-filled laminated composite circular cylindrical shells subjected to harmonic axial loading. The mathematical model is prepared using higher-order shear deformation theory, and the nonlinear responses are computed using the pseudo-arclength continuation method and the incremental harmonic balance method.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2023)
Review
Mechanics
Hossein B. Khaniki, Mergen H. Ghayesh, Rey Chin, Marco Amabili
Summary: Soft structures have the ability to undergo reversible large strains and deformations under different types of loadings. Nonlinear elastic models have been developed to accurately model these large deformations and strains, as linear elastic models have their limitations. Among these models, hyperelastic strain energy density models provide a good fit for the mechanical behavior of biological tissues. With advancements in biomechanical devices, it is important to review the latest works in this field, as in-vivo and in-vitro studies have significantly increased in the past few years. Additionally, accurate modeling of soft structures is crucial for various applications such as prosthetics, soft robots, and wearing devices.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2023)
Article
Engineering, Biomedical
Ivan D. Breslavsky, Marco Amabili
Summary: The authors found that a stress-strain curve for uniaxial tension of an aortic intact wall cannot be obtained by combining the strain energy functions of the three individual aortic layers. However, it is possible to fit the intact wall experimental curves with the combination of the strain energy functions of the three individual layers if residual strains are added. By varying these parameters, it is possible to find a solution with the combined responses of the individual layers matching the experimental stress-strain curves of the intact wall.
JOURNAL OF THE MECHANICAL BEHAVIOR OF BIOMEDICAL MATERIALS
(2023)
Article
Materials Science, Multidisciplinary
Stanislas Le Guisquet, Marco Amabili
Summary: This study characterizes the viscoelastic properties of a hydrogel in sol-gel transition by measuring the vibration response of a rigid circular cylindrical container's bottom silicone membrane. A finite-element numerical model was built for identification of the hydrogel's storage shear modulus and loss tangent. It was found that membrane vibration can be used to characterize the viscoelastic mechanical properties of a hydrogel in sol-gel transition in a more versatile way.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2023)
Article
Engineering, Mechanical
Marco Amabili
Summary: This study investigates whether it is necessary to satisfy the natural boundary conditions in nonlinear vibrations of rectangular plates. Accurate expansions of plate displacements and nonlinear damping are introduced to satisfy the natural boundary conditions by energy minimization and achieve results that agree with experiments.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2023)
Article
Engineering, Mechanical
Prabakaran Balasubramanian, Giovanni Ferrari, Celia Hameury, Tarcisio M. P. Silva, Abdulaziz Buabdulla, Marco Amabili
Summary: Positive Position Feedback (PPF) is a leading algorithm for actively suppressing mechanical vibrations in thin-walled structures. This study proposes a method for estimating participation matrices based on experimental measurements, simplifying the design of PPF controls and eliminating the need for electromechanical modeling. This opens up possibilities for the widespread use of Active Vibration Control (AVC) techniques.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2023)
Article
Engineering, Biomedical
Nathan Jen, Jake Hadfield, Guilherme M. Bessa, Marco Amabili, David S. Nobes, Hyun-Joong Chung
Summary: Regulating pulsatile flow is important for optimal separation and mixing, heat transfer, and maintaining homeostasis. Inspired by the human aorta, researchers developed a bio-inspired approach using elastomeric tubes with fabric jackets to regulate pulsatile flow. Evaluation in a mock-circulatory flow loop showed effective flow regulation, and the tunable design may be applicable for tubing systems requiring passive self-regulation of pulsatile flow.
JOURNAL OF THE MECHANICAL BEHAVIOR OF BIOMEDICAL MATERIALS
(2023)
Review
Engineering, Biomedical
Xiaochen Wang, Harry J. Carpenter, Mergen H. Ghayesh, Andrei Kotousov, Anthony C. Zander, Marco Amabili, Peter J. Psaltis
Summary: Large aortic aneurysm and acute and chronic aortic dissection require surgery, but a clear understanding of the mechanisms leading to aortic failure and better risk assessment is still lacking. Biomechanical analysis of the aorta can provide valuable insights into aortic abnormalities and help clinicians stratify patient risks. This review categorizes existing studies into theoretical, in vivo, experimental, and combined investigations to provide a comprehensive overview of the current state-of-the-art in aortic biomechanics and stimulate further research. Combining experimental and computational approaches may lead to more accurate risk prediction for the aortic system.
JOURNAL OF THE MECHANICAL BEHAVIOR OF BIOMEDICAL MATERIALS
(2023)
Article
Engineering, Mechanical
Celia Hameury, Giovanni Ferrari, Abdulaziz Buabdulla, Tarcisio M. P. Silva, Prabakaran Balasubramanian, Giulio Franchini, Marco Amabili
Summary: Positive Position Feedback (PPF) is an active vibration control algorithm commonly used for vibration reduction in thin-walled structures. Fractional order PPF (FOPPF) is a recent development that improves the spillover characteristics through the use of fractional calculus. However, current literature on FOPPF lacks consideration for multiple-input-multiple-output (MIMO) systems and lacks experimental work. To address this gap, a MIMO FOPPF control architecture was tested numerically and experimentally on a cantilever composite sandwich beam.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2023)
Article
Engineering, Mechanical
Flavio Augusto Xavier Carneiro Pinho, Marco Amabili, Zenon Jose Guzman Nunez Del Prado, Frederico Martins Alves da Silva
Summary: This work applies Sanders-Koiter's nonlinear shell theory to study the nonlinear moderate-amplitude vibrations of doubly curved shells. The nonlinear equations of motion are determined using two different approximations of the strain-displacement relations for shallow and non-shallow shells. The backbone curves are obtained using a combination of the multiple shooting method and an Euler-Newtonian predictor-corrector continuation algorithm. The mode influence of selected points on the backbone curves is analyzed, revealing internal resonances and changes in the dynamic behavior of shells undergoing moderate-amplitude vibrations.
NONLINEAR DYNAMICS
(2023)
Article
Engineering, Mechanical
Brian Painter, Marco Amabili
Summary: In this study, the non-planar vibration response of a beam with initial geometric imperfections is investigated using a geometrically nonlinear beam model. The experimental data shows good agreement with the beam model response around the resonant frequency of the first bending mode.
NONLINEAR DYNAMICS
(2023)
Article
Engineering, Civil
B. Kh. Eshmatov, R. A. Abdikarimov, M. Amabili, N. I. Vatin
Summary: This work focuses on the study of an anisotropic viscoelastic fiber-reinforced simply supported rectangular plate. By considering the direction of the fibers, the dynamic behavior of the plate and the dynamic stability problem of anisotropic reinforced plates were investigated. The results highlight the importance of considering the viscoelastic properties of the material when solving dynamic problems of anisotropic reinforced plates made of composite materials.
MAGAZINE OF CIVIL ENGINEERING
(2023)
Article
Acoustics
M. Amabili, H. R. Moghaddasi
Summary: Studies on nonlinear vibrations of circular cylindrical shells containing fluid have focused mostly on thin simply supported shells, leaving a lack of research on the behavior of thick cantilevered shells with shear and thickness deformations. This article presents, for the first time, models of thin and thick circular cylindrical shells with clamped-free boundary conditions based on the third-order shear deformation theory with thickness stretch. The derived governing differential equations describe the shell-fluid interaction. Results show that increasing the fluid level and decreasing the shell thickness in linear free vibration analysis significantly raise the fluid free-surface wave elevation, limiting the application of linear sloshing theory. The presence of the fluid changes the nonlinear behavior from softening to hardening, and intensifies the shell thickness deformation. Additionally, the contained liquid reduces the circumferential dynamic contraction caused by large amplitude vibrations.
JOURNAL OF SOUND AND VIBRATION
(2024)
Article
Engineering, Biomedical
Marco Amabili, Giulio Franchini, Meisam Asgari, Francesco Giovanniello, Mergen H. Ghayesh, Ivan D. Breslavsky
Summary: This study investigated the mechanical characteristics of an aorta affected by Klippel-Trenaunay syndrome. The results showed reduced stiffness and decreased response to vasoactive agents in the circumferential direction.
JOURNAL OF THE MECHANICAL BEHAVIOR OF BIOMEDICAL MATERIALS
(2023)
