Review
Materials Science, Composites
Liwei Zhang, Liyuan Zhao, Lin Pan, Jiangang Gao
Summary: This study comprehensively compares and analyzes the classification, preparation technology, and mechanical properties of composite cylindrical shells (CCS), and deeply analyzes the axial compression strength, axial compression elasticity theory, and strength criterion of orthotropic composite materials for CCS. The basic theory of instability and buckling, as well as the stability theory of CCS, are analyzed in detail. The research difficulties of composite cylindrical shell are given, and the future development direction of CCS is predicted. It provides an important reference for scientific research and engineering application of CCS.
POLYMER COMPOSITES
(2023)
Article
Mechanics
G. Vamsi Krishna, V Narayanamurthy, C. Viswanath
Summary: The buckling performance of thin metallic shells can be enhanced by external wrapping of FRP composite layers. The effectiveness and extent of such FRP strengthening is influenced by the buckling characteristics of the metallic shell. Through numerical studies, it is found that the increase in hoop modulus of the FRP wrap leads to a stepwise increase in load capacity for elastic buckling shells, while an optimal design for plastic buckling shells can be achieved by a minimal increase in longitudinal stiffness of the FRP wrap. Additionally, an increase in longitudinal stiffness of FRP can significantly increase the buckling capacity of plastic buckling shells failing due to axi-symmetric bulging at their ends.
COMPOSITE STRUCTURES
(2021)
Article
Mechanics
Ranfeng Wei, Kechun Shen, Guang Pan, Zhun Li
Summary: This paper presents an experimental study of composite cylindrical shells with and without a circular hole subjected to external hydrostatic pressure. The mechanical response and buckling deformation process of the shells are recorded and analyzed. The concept of initial buckling pressure is proposed to distinguish the critical point of the shell transition. The experimental results provide valuable information for the design of perforated composite pressure shells for underwater vehicles.
COMPOSITE STRUCTURES
(2023)
Article
Mechanics
Ali Imani Azad, Rigoberto Burgueno
Summary: This study presents an approximate analytical model for predicting the post-buckling response of cylinders with tailored non-uniform distributed stiffness. The model treats cylinder segments as individual panels and combines their response by considering them as connected linear or nonlinear springs. Results show that the model's accuracy improves significantly with an increase in the number of considered radial functions, and comparison with experimental results indicates accurate prediction of the order of buckling events.
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
(2021)
Article
Engineering, Civil
A. Evkin
Summary: This study investigates the buckling of unstiffened axially compressed cylindrical shells under different types of local perturbations. An improved analytical model based on the Pogorelov's geometrical method is proposed, which effectively describes the qualitative properties of the buckling phenomena. The model is validated through comprehensive quantitative comparison with published numerical and experimental data, allowing for a thorough investigation of shell local buckling behavior and providing a criterion for design buckling load estimation.
THIN-WALLED STRUCTURES
(2021)
Article
Engineering, Mechanical
Iman Gholami, Marco Amabili, Michael P. Paidoussis
Summary: This experimental study analyzes the dynamics and stability of soft cantilevered circular cylindrical shells under subsonic internal airflow with different length-to-radius (L/R) ratios. The results reveal that the system experiences a strongly subcritical bifurcation and loses stability by flutter. Longer shells lose stability at lower flow velocities, and increasing the flow velocity beyond the critical value leads to more irregular oscillations, implying the presence of a chaotic component. The chaotic component is influenced by the L/R ratio. The study also investigates the influence of the outflow jet on system stability by adding a flat horizontal plate at varying distances over the free end of the shell. It is observed that changing the outflow jet direction from axial to radial not only stabilizes the system but also reduces the chaotic behavior of the oscillations.
NONLINEAR DYNAMICS
(2023)
Article
Materials Science, Multidisciplinary
Marta Gavioli, Chiara Bisagni
Summary: The laboratory demonstration on buckling tests of cylindrical shells helps students understand the concept better and increases their enthusiasm for the topic.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2021)
Article
Engineering, Civil
V. Krasovsky, A. Evkin
Summary: The experimental studies on buckling of dented axially compressed unstiffened cylindrical shells show that the buckling behavior can be described by plateaus, and the lower local buckling loads are slightly influenced by geometric imperfections.
THIN-WALLED STRUCTURES
(2021)
Article
Engineering, Marine
Pham Toan Thang, Changsoo Kim, Hyounseung Jang, Taehoon Kim, Jimin Kim
Summary: This research investigates the buckling behavior of hybrid-honeycomb sandwich (HHS) cylindrical shells under hydrostatic pressure. The HHS shells consist of ceramic-metal functionally graded (FG) layers on the outer and inner surfaces, with a layer of lightweight hybrid-honeycomb material in the center. The results show improved buckling resistance, stability, and enhanced energy absorption due to the unique microstructure of the auxetic materials.
Article
Mechanics
Zbigniew Kolakowski, Andrzej Teter
Summary: The behavior of FGM cylindrical shells with imperfections under compression was analyzed using an analytical-numerical method. The critical load and imperfection sensitivity surface of real structures were determined. The material gradient and support conditions of the shell were taken into account in the calculations. This research provides insights for the design and verification of shell structures.
COMPOSITE STRUCTURES
(2022)
Article
Mechanics
G. Vamsi Krishna, V. Narayanamurthy, C. Viswanath
Summary: This paper presents a detailed study on the buckling behavior of metallic cylindrical shells with different geometric imperfections and cut-outs, both unstiffened and stiffened. The study includes numerical simulations, experimental validations, and analyses of the effects of cut-out size, orientation, shape, and corner radius on the buckling response. The study also investigates the effectiveness of FRP strengthening for shells with and without cut-outs. The findings suggest that the size of the cut-out and the initial imperfection of the shell have a significant impact on the buckling capacity, and FRP strengthening is more effective for shells with cut-outs.
COMPOSITE STRUCTURES
(2022)
Article
Mechanics
Quaiyum M. Ansari, Giovanni Zucco, Luan C. Trinh, Paul M. Weaver
Summary: This work aims to develop data-driven empirical expressions to calculate the upper and lower bound values of cylindrical shells under linear compression loads with various boundary conditions together with various levels of bend/twist anisotropy. Results show that the detrimental effect of boundary conditions and inherent bend/twist anisotropy could lead to a 61% reduction in buckling load, providing a need for detailed studies in this area.
COMPOSITE STRUCTURES
(2023)
Article
Construction & Building Technology
Bo-Li Zhu, You-Hao Zhang, Yan-Lin Guo, Wang-Hui Liu
Summary: This study investigates the elastic buckling behavior of Grid Cylindrical-Lattice Shells (GCLSs) under axial compression, revealing that GCLS tends to fail due to global flexural buckling and circumferential multi-wave buckling under axial compression.
JOURNAL OF CONSTRUCTIONAL STEEL RESEARCH
(2021)
Article
Chemistry, Multidisciplinary
Atsushi Takano, Ryuta Kitamura, Takuma Masai, Jingxuan Bao
Summary: The study conducted a buckling test on composite cylindrical shells to investigate the effects of the radius-thickness ratio (r/t) on their performance. It was found that there are discrepancies between experimental and theoretical results, with no clear cause identified for the variation of the knockdown factor (KDF). Experimental data suggested a slight impact of r/t on buckling load, with insignificant reduction in KDF observed during the study.
APPLIED SCIENCES-BASEL
(2021)
Article
Multidisciplinary Sciences
R. M. J. Groh, A. Pirrera
Summary: This article proposes a method of establishing shell buckling knockdown factors using localized probing, which can trigger both single-dimple and double-dimple edge states. Three design curves of varying conservatism are derived based on the stability features of probing, providing a more flexible approach to structural design than legacy knockdown factors. The most conservative design curve bounds a large dataset of experimental buckling results from below, highlighting its significance in efficient structural design.
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2023)
Article
Engineering, Mechanical
Antonio Zippo, Marco Barbieri, Giovanni Iarriccio, Francesco Pellicano
NONLINEAR DYNAMICS
(2020)
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
Matteo Strozzi, Valeri V. Smirnov, Leonid Manevitch, Francesco Pellicano
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2020)
Article
Acoustics
Antonio Zippo, Giovanni Iarriccio, Francesco Pellicano, Tetyana Shmatko
SHOCK AND VIBRATION
(2020)
Article
Engineering, Mechanical
Iarriccio Giovanni, Zippo Antonio, Pellicano Francesco
Summary: This paper investigates nonlinear asymmetric vibrations in shallow spherical caps under pressure loading using Novozhilov's theory and a reduced-order model. By numerically integrating equations of motion and analyzing bifurcation scenarios, the study demonstrates the occurrence of asymmetric vibrations related to quasiperiodic and chaotic motion through time histories, spectra, and other methods.
NONLINEAR DYNAMICS
(2022)
Correction
Engineering, Mechanical
Giovanni Iarriccio, Antonio Zippo, Francesco Pellicano
NONLINEAR DYNAMICS
(2022)
Article
Engineering, Mechanical
Hamed Saber, Farhad S. Samani, Francesco Pellicano
Summary: This paper introduces a novel nonlinear viscous dashpot with variable damping, which can be used in dynamic vibration absorbers. The proposed dashpot has a simple mechanism and can handle a large range of fluid flow rates smoothly. By applying this dashpot to an adjustable vibration absorber, the vibrations of a bridge can be significantly reduced.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART K-JOURNAL OF MULTI-BODY DYNAMICS
(2022)
Article
Engineering, Mechanical
Antonio Zippo, Giovanni Iarriccio, Luca Bergamini, Elena Colombini, Paolo Veronesi, Francesco Pellicano
Summary: This paper presents the results of an extensive experimental campaign on the dynamic interactions between an elastic structure and a non-Newtonian fluid. The system dynamics has been analyzed in the presence of different fluid levels and high energy tests have been performed. The onset of complex dynamics has been detected using Fourier spectra and bifurcation diagrams.
JOURNAL OF FLUIDS AND STRUCTURES
(2023)
Article
Acoustics
Moslem Molaie, Farhad S. Samani, Antonio Zippo, Francesco Pellicano
Summary: This paper investigates the non-linear dynamics of a spiral bevel gear pair with backlash, focusing on the internal excitations such as manufacturing errors, teeth spacing errors, and elastic deformation of the teeth. Backside contacts and reverse rotation are studied in detail using a nonlinear time-varying model. The effect of damping is also examined. The results show that small backlash values increase the possibility of backside contact, and increasing the backlash value increases the amplitude vibration of the gear rotation. Higher damping effectively reduces gear vibration resonance.
JOURNAL OF SOUND AND VIBRATION
(2023)
Editorial Material
Acoustics
Francesco Pellicano, Matteo Strozzi, Konstantin V. Avramov, Sinniah Ilanko
SHOCK AND VIBRATION
(2023)
Review
Engineering, Electrical & Electronic
Moslem Molaie, Samira Deylaghian, Giovanni Iarriccio, Farhad S. Samani, Antonio Zippo, Francesco Pellicano
Summary: This paper presents an analysis of the scientific literature on load sharing and phasing in planetary gearboxes. The research topics cover a wide range, demonstrating the technical challenges of understanding load-sharing and planet phasing. The review includes studies developing load-sharing models and exploring the effects of different parameters on load distribution, as well as practical aspects and methods for improving load-sharing characteristics.
Article
Engineering, Mechanical
Moslem Molaie, Farhad S. Samani, Francesco Pellicano
Summary: This study investigates the destructive effects of different types of misalignments on a spiral bevel gear pair, finding that axial misalignment is the most severe case. It is observed that chaotic responses are less likely for the case with both types of misalignments compared to the case with only axial misalignment.
Article
Materials Science, Multidisciplinary
Matteo Strozzi, Oleg Gendelman, Isaac E. Elishakoff, Francesco Pellicano
Summary: The study examines the applicability and limitations of simplified models in the vibrations of double-walled carbon nanotubes, as well as the performance of a newly developed simplified shell model in shell-like modes.
C-JOURNAL OF CARBON RESEARCH
(2021)
Proceedings Paper
Engineering, Industrial
Francesco Pellicano, Antonio Zippo, Giovanni Iarriccio, Marco Barbieri
DESIGN TOOLS AND METHODS IN INDUSTRIAL ENGINEERING, ADM 2019
(2020)
Proceedings Paper
Engineering, Industrial
Raffaele Di Canosa, Francesco Pellicano
DESIGN TOOLS AND METHODS IN INDUSTRIAL ENGINEERING, ADM 2019
(2020)
Article
Mathematics, Applied
Hao Liu, Yuzhe Li
Summary: This paper investigates the finite-time stealthy covert attack on reference tracking systems with unknown-but-bounded noises. It proposes a novel finite-time covert attack method that can steer the system state into a target set within a finite time interval while being undetectable.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Nikolay A. Kudryashov, Aleksandr A. Kutukov, Sofia F. Lavrova
Summary: The Chavy-Waddy-Kolokolnikov model with dispersion is analyzed, and new properties of the model are studied. It is shown that dispersion can be used as a control mechanism for bacterial colonies.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Qiang Ma, Jianxin Lv, Lin Bi
Summary: This paper introduces a linear stability equation based on the Boltzmann equation and establishes the relationship between small perturbations and macroscopic variables. The numerical solutions of the linear stability equations based on the Boltzmann equation and the Navier-Stokes equations are the same under the continuum assumption, providing a theoretical foundation for stability research.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Samuel W. Akingbade, Marian Gidea, Matteo Manzi, Vahid Nateghi
Summary: This paper presents a heuristic argument for the capacity of Topological Data Analysis (TDA) to detect critical transitions in financial time series. The argument is based on the Log-Periodic Power Law Singularity (LPPLS) model, which characterizes financial bubbles as super-exponential growth (or decay) with increasing oscillations approaching a tipping point. The study shows that whenever the LPPLS model fits the data, TDA generates early warning signals. As an application, the approach is illustrated using positive and negative bubbles in the Bitcoin historical price.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Xavier Antoine, Jeremie Gaidamour, Emmanuel Lorin
Summary: This paper is interested in computing the ground state of nonlinear Schrodinger/Gross-Pitaevskii equations using gradient flow type methods. The authors derived and analyzed Fractional Normalized Gradient Flow methods, which involve fractional derivatives and generalize the well-known Normalized Gradient Flow method proposed by Bao and Du in 2004. Several experiments are proposed to illustrate the convergence properties of the developed algorithms.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Lianwen Wang, Xingyu Wang, Zhijun Liu, Yating Wang
Summary: This contribution presents a delayed diffusive SEIVS epidemic model that can predict and quantify the transmission dynamics of slowly progressive diseases. The model is applied to fit pulmonary tuberculosis case data in China and provides predictions of its spread trend and effectiveness of interventions.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Shuangxi Huang, Feng-Fei Jin
Summary: This paper investigates the error feedback regulator problem for a 1-D wave equation with velocity recirculation. By introducing an invertible transformation and an adaptive error-based observer, an observer-based error feedback controller is constructed to regulate the tracking error to zero asymptotically and ensure bounded internal signals.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Weimin Liu, Shiqi Gao, Feng Xu, Yandong Zhao, Yuanqing Xia, Jinkun Liu
Summary: This paper studies the modeling and consensus control of flexible wings with bending and torsion deformation, considering the vibration suppression as well. Unlike most existing multi-agent control theories, the agent system in this study is a distributed parameter system. By considering the mutual coupling between the wing's deformation and rotation angle, the dynamics model of each agent is expressed using sets of partial differential equations (PDEs) and ordinary differential equations (ODEs). Boundary control algorithms are designed to achieve control objectives, and it is proven that the closed-loop system is asymptotically stable. Numerical simulation is conducted to demonstrate the effectiveness of the proposed control scheme.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Gourav Mandal, Lakshmi Narayan Guin, Santabrata Chakravarty
Summary: The ecological framework investigates the dynamical complexity of a system influenced by prey refuge and alternative food sources for predators. This study provides a thorough investigation of the stability-instability phenomena, system parameters sensitivity, and the occurrence of bifurcations. The bubbling phenomenon, which indicates a change in the amplitudes of successive cycles, is observed in the current two-dimensional continuous system. The controlling system parameter for the bubbling phenomena is found to be the most sensitive. The prediction and identification of bifurcations in the dynamical system are crucial for theoretical and field researchers.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Damian Trofimowicz, Tomasz P. Stefanski, Jacek Gulgowski, Tomasz Talaska
Summary: This paper presents the application of control engineering methods in modeling and simulating signal propagation in time-fractional electrodynamics. By simulating signal propagation in electromagnetic media using Maxwell's equations with fractional-order constitutive relations in the time domain, the equations in time-fractional electrodynamics can be considered as a continuous-time system of state-space equations in control engineering. Analytical solutions are derived for electromagnetic-wave propagation in the time-fractional media based on state-transition matrices, and discrete time zero-order-hold equivalent models are developed and their analytical solutions are derived. The proposed models yield the same results as other reference methods, but are more flexible in terms of the number of simulation scenarios that can be tackled due to the application of the finite-difference scheme.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Yuhao Zhao, Fanhao Guo, Deshui Xu
Summary: This study develops a vibration analysis model of a nonlinear coupling-layered soft-core beam system and finds that nonlinear coupling layers are responsible for the nonlinear phenomena in the system. By using reasonable parameters for the nonlinear coupling layers, vibrations in the resonance regions can be reduced and effective control of the vibration energy of the soft-core beam system can be achieved.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
S. Kumar, H. Roy, A. Mitra, K. Ganguly
Summary: This study investigates the nonlinear dynamic behavior of bidirectional functionally graded plates (BFG) and unidirectional functionally graded plates (UFG). Two different methods, namely the whole domain method and the finite element method, are used to formulate the dynamic problem. The results show that all three plates exhibit hardening type nonlinearity, with the effect of material gradation parameters being more pronounced in simply supported plates.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Isaac A. Garcia, Susanna Maza
Summary: This paper analyzes the role of non-autonomous inverse Jacobi multipliers in the problem of nonexistence, existence, localization, and hyperbolic nature of periodic orbits of planar vector fields. It extends and generalizes previous results that focused only on the autonomous or periodic case, providing novel applications of inverse Jacobi multipliers.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Yongjian Liu, Yasi Lu, Calogero Vetro
Summary: This paper introduces a new double phase elliptic inclusion problem (DPEI) involving a nonlinear and nonhomogeneous partial differential operator. It establishes the existence and extremality results to the elliptic inclusion problem and provides definitions for weak solutions, subsolutions, and supersolutions.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Shangshuai Li, Da-jun Zhang
Summary: In this paper, the Cauchy matrix structure of the spin-1 Gross-Pitaevskii equations is investigated. A 2 x 2 matrix nonlinear Schrodinger equation is derived using the Cauchy matrix approach, serving as an unreduced model for the spin-1 BEC system with explicit solutions. Suitable constraints are provided to obtain reductions for the classical and nonlocal spin-1 GP equations and their solutions, including one-soliton solution, two-soliton solution, and double-pole solution.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)