Article
Acoustics
Amir Hossein Orafa, Mohammad Mahdi Jalili, Ali Reza Fotuhi
Summary: This paper investigates the nonlinear vibro-acoustic performance of a simply supported cylindrical shell under oblique incident plane sound wave, including companion modes participation. The cylindrical shell equation of motion is obtained using Donnell's nonlinear shallow shell theory, and the Galerkin method is applied to obtain the system of nonlinear nonhomogeneous second order ordinary differential equations. The response of the resultant nonlinear differential equations is determined using the Multiple Scales Method, and the effects of incident sound characteristics on the transmission loss factor are explored. The results show that the effect of companion mode on the transmission loss is significant only at high frequencies of the incident sound wave, and at high incident angles, the effect of companion mode on the transmission loss is negligible.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Engineering, Mechanical
Arash Mohamadi, Majid Shahgholi, Faramarz Ashenai Ghasemi
Summary: This paper focuses on investigating the nonlinear dynamics of axially moving FG-CNTRC shells with different reinforcement distribution and the scale effects of CNTs in the subcritical regime of axial speed. Through theoretical derivation and analysis, it was found that different types of CNT reinforcement distribution and volume fractions have different effects on the vibration parameters of cylindrical nanocomposite shells. Numerical methods such as the 4th order Runge Kutta and pseudo arclength continuation were used to verify the accuracy of the Normal Form Method.
INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN
(2022)
Article
Engineering, Civil
Lun Liu, Shupeng Sun, Jiajie Han
Summary: This paper analyzes the nonlinear traveling-wave vibration of a ring-stringer stiffened cylindrical shell by deriving a nonlinear dynamic model using Donnell's nonlinear shell theory and Lagrange equations. The study uses Galerkin's method based on multi-mode approximation, orthogonal circumferential modes, and harmonic balance method to solve the forced vibration responses of the shell. The research also investigates the effects of stiffener parameters on the nonlinear dynamic characteristics of the stiffened shell.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
(2021)
Article
Engineering, Mechanical
Ran Wang, Hu Ding, Xuegang Yuan, Na Lv, Liqun Chen
Summary: The research focuses on investigating highly nonlinear traveling waves in a slightly compressible thermo-hyperelastic cylindrical shell using a specific constitutive relation. By deriving coupled partial differential equations and applying bifurcation theory, the study explores qualitative properties and the effects of inner and outer boundary temperatures on the presence of bounded traveling waves. Furthermore, the study examines the influences of compressibility and material parameters on various types of waves and determines critical bifurcation values, supported by numerical validations.
NONLINEAR DYNAMICS
(2022)
Article
Construction & Building Technology
Lei Li, Guangfeng Li, Nasim Uddin, Limin Tian, Zhibing Zhu, Chong Bai, Chen Shen
Summary: In this study, a new nonlinear dynamic model of cylindrical reticulated shells with initial damage is proposed to investigate the effect of initial damage accurately. It is found that the local dynamic stability of the system is determined via its initial condition, geometric parameters, and initial damage. The study provides a theoretical foundation for the future investigation of the whole stability with initial damage.
Article
Physics, Multidisciplinary
Jingyi Yao, Ke Xu, Dunhui Yao, Lingyun Yao
Summary: This paper investigates the use of local resonators to achieve broadband longitudinal wave attenuation in a metamaterial cylindrical shell. Numerical models of the shell are established and the dispersion relation and vibration transmission characteristics are calculated. A multiple-graded-resonator metamaterial cylindrical shell is proposed to further broaden the bandgaps and the suppression range of longitudinal waves. Numerical and experimental results show good vibration suppression effects in the range of approximately 180-710 Hz.
FRONTIERS IN PHYSICS
(2023)
Article
Engineering, Multidisciplinary
Guangbin Wang, Hui Li, Yao Yang, Zhou Qiao, Zeyu Zou, Dongxu Du, Dongming Liu, Xumin Guo, Haihong Wu
Summary: This paper investigates the nonlinear vibration characteristics of composite pyramidal truss sandwich cylindrical shell panels. Through experimental and theoretical analysis, the relationship between vibration phenomenon and vibration parameters is studied. A theoretical model is developed to predict the nonlinear vibration based on defined material and geometric parameters, and its accuracy is validated through tests. The effects of critical parameters on the vibration characteristics are evaluated, providing suggestions for improving the vibration suppression capability of such structures.
APPLIED MATHEMATICAL MODELLING
(2023)
Article
Mechanics
Arash Mohamadi, Faramarz Ashenai Ghasemi, Majid Shahgholi
Summary: The paper investigates the effect of different distribution types of SWCNT reinforcement and the volume fraction of CNTs on the nonlinear vibration of nanocomposite shells, analyzes the nonlinear characteristics of frequency response under internal resonance conditions, and conducts bifurcation analysis. Finally, the accuracy of the perturbation method relative to the Runge-Kutta 4th order method is validated.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2021)
Article
Engineering, Mechanical
Tong Wang, Chengyan Wang, Yaxing Yin, Yankang Zhang, Lin Li, Dapeng Tan
Summary: This paper investigates the nonlinear vibration response characteristics and health condition monitoring of thin cylindrical shells. The nonlinear dynamic model of the thin cylindrical shell is established based on Flugge shell theory. The forced vibration generation and propagation mechanism of the shell are investigated, and an analytical approach for nonlinear vibration response is proposed. The straight crack identification method based on natural frequency isolines and amplitude maximization methods is also presented.
NONLINEAR DYNAMICS
(2023)
Article
Engineering, Civil
Dongxu Du, Wei Sun, Xianfei Yan, Kunpeng Xu
Summary: This study investigates the nonlinear vibration behaviors of a rotating hard-coating cylindrical shell under radial harmonic excitations, considering the strain dependences of the storage and loss moduli. The nonlinear equations of motion are established using the Rayleigh-Ritz method and high-order polynomials to accurately characterize strain dependences. By improving the Newton-Raphson method, a specified iteration algorithm is developed to solve the nonlinear equations, validating the proposed model through comparison studies. The effects of rotating speed and excitation amplitude on the nonlinear vibration characteristics of the rotating hard-coating cylindrical shell are also examined.
THIN-WALLED STRUCTURES
(2021)
Article
Mathematics, Interdisciplinary Applications
Muhammad Afzal, Mohammed Omar Alkinidri, Muhammad Safdar, Hazrat Bilal
Summary: This study investigates the behavior of acoustic radiation modes in an elastic shell with trifurcated junctions and structural variations using a mode-matching solution. The numerical experiments provide valuable insights for designing effective noise reduction strategies in various industrial and engineering applications.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Engineering, Civil
Yuda Hu, Qi Zhou, Tao Yang
Summary: The magneto-thermo-elastic coupled free vibration of functionally graded materials cylindrical shell is investigated in this study. The vibration equation in multi-physical field is established and solved using the Hamilton principle and the multi-scale method. The numerical results show that the natural frequency is influenced by various factors such as volume fraction index, initial amplitude, temperature, and magnetic induction intensity.
THIN-WALLED STRUCTURES
(2024)
Article
Engineering, Civil
Renchuan Ye, Zhihao Zhang, Rui Zhang, Daniil Yurchenko, Na Zhao
Summary: This study develops a novel convergence criterion and formulas for calculating the mode numbers of sound transmission loss in multi-layer cylindrical shells, aiming to solve the issue of inaccurate sound transmission loss results in the high-frequency region.
THIN-WALLED STRUCTURES
(2023)
Article
Engineering, Civil
Aliakbar Bayat, Amir Jalali, Habib Ahmadi
Summary: This study presents the nonlinear vibration control of functionally graded laminated piezoelectric cylindrical shells under simultaneous parametric axial and radial external excitations using multiple scales approach for the first time. It is shown that quasi-periodic motion is the most common behavior of the system, and the controller gain and power index have inevitable effects on enhancing the quasi-periodic response of the system. Care should be exerted in selecting the parameters to have the desired response in the broad range of excitation frequency.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
(2021)
Article
Engineering, Mechanical
F. Zheng, W. Zhang, X. G. Yuan, Y. F. Zhang
Summary: This paper investigates the radial nonlinear vibrations of a thin-walled hyperelastic cylindrical shell made of the classical incompressible Mooney-Rivlin materials under radial harmonic excitation. The nonlinear differential governing equation of motion is derived using Lagrange equation, Donnell's nonlinear shallow-shell theory, and small strain assumption. The equation is simplified to a generalized Duffing equation with a quadratic term. Second-order approximate analytical solutions are obtained using the modified Lindstedt-Poincare (MLP) method. The effects of parameters on amplitude-frequency response curves and equilibrium points are analyzed. Bifurcation diagrams, Lyapunov exponents, and Poincare maps are obtained using the Runge-Kutta method. Chaotic behaviors are observed in the radial nonlinear vibrations of the shell. The results indicate that the nonlinear dynamic responses of the shell are highly sensitive to structural parameters and external excitation.
NONLINEAR DYNAMICS
(2023)
Article
Mechanics
E. Mubai, D. P. Mason
Summary: The two-dimensional turbulent thermal classical far wake is investigated in this study. The turbulence is described using the Boussinesq hypothesis for Reynolds stresses and Prandtl's mixing length model for eddy viscosity and eddy thermal conductivity. Two conservation laws are derived for the thermal boundary layer equations using the multiplier method, and two conserved quantities are obtained from the conserved vectors and boundary conditions. Lie point symmetry associated with the momentum and thermal conserved vectors is derived, showing that the momentum and thermal mixing lengths are proportional. An invariant solution is obtained numerically using a shooting method, and analytically when v = 0, kappa = 0.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2024)
Article
Mechanics
Daniel J. Arrigo, Travis C. Chism
Summary: This paper investigates the governing equations for plane stress deformations of isotropic incompressible hyperelastic materials. The authors previously discovered a linearization method for the plane strain case of the Varga material, and in this paper, they further demonstrate that the governing equations for the plane stress case can also be linearized.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2024)
Article
Mechanics
A. P. Chugainova, R. R. Polekhina
Summary: This article numerically investigates the conditions for the decay of a nonlinear wave into a system of waves traveling at different velocities in a viscoelastic weakly anisotropic medium. Solutions of a hyperbolic system of equations are studied in the region of nonuniqueness of parameters, where a solution to the Riemann problem can be constructed with both a single wave and a system of waves corresponding to the same initial data.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2024)
Article
Mechanics
Yu. N. Grigoriev, E. I. Kaptsov, S. V. Meleshko
Summary: This paper studies the mathematical properties of gasdynamics equations with thermochemical nonequilibrium and provides solutions for two different models. The results show that the solutions to the modified system of equations are physically consistent and can describe the effects of thermochemical nonequilibrium.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2024)
Article
Mechanics
Y. Hao, X. Y. Guo, Y. B. Fu
Summary: This paper investigates the nonlinear stochastic dynamic response of a three-degree-of-freedom(3-DOF) airfoil with high substructural nonlinearity under vertical turbulent disturbances. The effects of parameters such as the incoming velocity, turbulence scale and intensity on the stochastic dynamics behavior of the system are clarified.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2024)
Article
Mechanics
T. Flament, J. -F. Deu, A. Placzek, M. Balmaseda, D. -M. Tran
Summary: This paper focuses on the numerical computation of vibrations in geometrically nonlinear structures induced by aeroelastic coupling with fluid flow using reduced order models (ROM). The proposed ROM formulation utilizes projection on a basis of reduced dimension enhanced with dual modes, allowing for the accurate capture of dynamic characteristics and adaptation to unsteady aerodynamic loads. The limitations of the classical Implicit Condensation method are highlighted, while the ROM proposed overcomes these limitations and accurately captures the dynamics.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2024)
Article
Mechanics
Sidhartha Sankar Roy, Kishore Chandra Biswal
Summary: This study investigates the non-linear slosh dynamics of a sloped wall tank with a bottom-mounted object under seismic excitation. The potential flow theory is used to model the liquid domain using a mixed Eulerian-Lagrangian method. The study successfully quantifies the non-linear seismic response of the tank and the influence of the internal object on the hydrodynamic behavior. A parametric investigation is conducted by altering the object's height. Comparison with linear analysis justifies the necessity of non-linear analysis. The developed non-linear finite element model is found to be more effective and can be used in designing structure-coupled sloped wall TLDs.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2024)
Article
Mechanics
Kapil Dev, Om P. Suthar
Summary: This study presents stability analyses of thermosolutal convection in a Newtonian fluid-saturated Darcy porous layer under non-uniform inclined heating, considering the presence of the Soret effect. The results reveal the destabilizing effect of the solutal Darcy-Rayleigh number and Lewis number on the system's stability, while the Soret parameter has a non-monotonic effect depending on the horizontal Rayleigh number.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2024)
Article
Mechanics
Sandhya Maurya, Dia Zeidan, Manoj Pandey
Summary: This paper investigates a two-phase mass flow model governed by gravity, which involves solid particles and a viscous fluid. By utilizing the Lie symmetries admitted by the system, similarity solutions for the (2+1)-dimensional two-phase mass flow model are obtained. Through analytical solutions and numerical analysis, the physical behaviors of the resulting systems are successfully analyzed.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2024)
Article
Mechanics
Longfei Tan, Wei Zhang, Zixun Wang, Bowen Hou, Wei Sun
Summary: This study investigates the factors influencing the stiffness variation characteristics of a bolted joint during service, including macro deviation, micro-topography, and hysteresis characteristics. Through experiments and finite element modeling analysis, it is found that macro deviations and micro-topography on the bearing surface can cause irregular dynamic changes in the stiffness of the bolted joint, significantly affecting the dynamic/static response of the entire structure.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2024)
Article
Mechanics
Yu Xiao, Ze-Qi Lu, Nan Wu
Summary: This study investigates the characteristics of a magnet-engaged nonlinear piezoelectric energy generator stimulated by friction-induced vibration (FIV) in two distinct design configurations (in parallel and in-series). The results indicate that factors such as decay factor, dynamic friction coefficient, static friction coefficient, and normal force have an effect on the stability of the system and the generation of FIV. The in-parallel systems exhibit a higher charging power within the same operating range, while the in-series systems are more likely to excite FIV with a wider operating range.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2024)