Large Amplitude Dynamic Instability of a Graphene-Reinforced Pipe Conveying Pulsating Flow Peijun Zhang, Tianhui Lan, Hadi Arvin International Journal of Structural Stability and Dynamics, 2026 In many industries’ applications, one deals with pipes conveying fluid. Besides, the implementation of advanced materials in manufacturing of new-brand structures is developing. Consequently, in this paper, one of the most important dynamics analyzes that an advanced pipe conveying fluid may meet it is addressed. For the first time, linear and nonlinear dynamics of a pipe reinforced with graphene nanoplatelets (GPL pipe) that conveys pulsating flow is presented. The Euler–Bernoulli beam model follows the plug flow model in order to formulate the problem. The method of multiple scales (MMS) applied to the discretized couple nonlinear gyroscopic governing equations with the aim of specifying the instability region and the steady-state response of the GPL pipe subjected to the principal parametric resonance of one of its modes, as a consequence of pulsating flow. Respectively, the Floquet theory and the Runge–Kutta fourth-order (RK4) method are applied to the linear governing equations and nonlinear governing equations for the sake of confirming the current MMS results. It is deduced that a small amount usage of GPL reinforcement phase improves substantially the resistance against static instability, and the critical fluid excitation amplitude fraction, meanwhile declines the instability region bandwidth, and the steady-state response of the pipe. In contrary, it is confirmed that a heavier fluid makes reverse the preceding statements with respect to a lighter fluid. The aforementioned findings shed light on the essential design keys that outstandingly affect the mechanics of the GPL pipe conveying pulsating fluid that lead and conduct forthcoming studies and open new horizons for designers in industry implementations.
Pseudo-Nonlinear Normal Modes in the Analysis of Nonlinear Vibrations of Fluid-Conveying Composite Micropipes via a Sequential Modified Rauscher-Harmonic Balance Method Peijun Zhang, Yuzhong Wang, Huaigu Tian, Jianquan Li, Xiaomin Li, et al. International Journal of Structural Stability and Dynamics, 2026 This study investigates the primary resonance response of a composite micropipe reinforced with graphene nanoplatelets conveying fluid, with applications in remote self-powered micro-sensors, precise drug delivery, the safety of chemical reactions, ecological assessments, and the transport of cells. A sequential pseudo-nonlinear normal mode (NNM) scheme, combined with the modified Rauscher technique and harmonic balance method (HBM), is employed to derive the frequency response. The gyroscopically coupled equations are systematically reduced, at each stage, to a single degree-of-freedom equation through NNM framework, treating the system as a two-dimensional invariant manifold. The HBM generates nonlinear algebraic equations, which are solved using an arclength continuation method with an adaptive arc length. Critical to this analysis, Hill’s method is implemented to determine the stability of periodic solutions along the frequency response branches, enabling classification of solution branches as stable or unstable. This stability classification reveals that the bandwidth of multi-valued response coincides with the region of unstable periodic solutions, with stability transitions occurring at the saddle-node bifurcation points (turning points) of the frequency response curves. Parametric studies demonstrate that an increase in the slenderness ratio, radius ratio, flow velocity, and flow mass density and considering laminar flow instead of turbulent flow widen the multi-valued response bandwidth, while micro-scale contribution narrows it. A comprehensive sensitivity analysis reveals that the multi-valued response bandwidth and maximum frequency response amplitude are least sensitive to nanocomposite weight fraction, flow mass density, and micro-scale parameter, while exhibiting the highest sensitivity to slenderness ratio and radius ratio. The primary resonance characteristics show moderate sensitivity to the flow speed. These findings can be implemented for the design of remote self-powered micro-sensors, system identification, and structural health monitoring applications.
Nonlinear Vibrations and Stability of Fractional Viscoelastic UD-CNTRC Microbeam Resonators with Piezoelectric Layers under Electrostatic Excitation Ali Karimian, Seyed Ahmad Tajalli, Hadi Arvin International Journal of Structural Stability and Dynamics, 2025 In this paper, nonlinear size-dependent vibrations and stability of clamped–clamped electrically actuated microbeams reinforced with uniformly distributed carbon nanotubes and bonded with piezoelectric layers have been investigated. The lower piezoelectric layer is supposed to be under a combination of a DC and AC voltage, considering the fringing field effect and Casimir force. The modified couple stress theory is considered to account for the size effect. Viscoelastic properties that may have a certain impact on nonlinear dynamics are studied based on the fractional Kelvin–Voigt constitutive model. The governing partial fractional differential equation of motion is derived using the extended Hamilton’s principle, utilizing the nonlinear von Karman stress–strain relationships within the Euler–Bernoulli beam model. This equation is then discretized to a nonlinear reduced order model (ROM) using Galerkin’s approach. The transient time response of the system is determined via a reformulation of the Newmark method employing fractional derivatives discretized by the Grünwald–Letnikov summation. Dynamic pull-in phenomena are examined by numerically integrating the ROM equation. Neglecting time-dependent terms, the pseudo-arclength continuation technique is also employed to inspect the static pull-in instability. A perturbation method, based on multiple time scales, is applied to study the primary resonance of the microbeam, considering a harmonic AC voltage with small amplitude. The influences of the order of fractional derivative, small-scale parameter, amplitude of AC excitation, and piezoelectric voltages on the hardening-type and softening-type behavior in frequency response curves are investigated. It is shown that just small increments in the values of the order of the fractional derivative, for example, from 0.15 to 0.25, can significantly reduce the amplitude of oscillations and also can change bifurcation characteristics of the microsystem. Also, the results indicate that small variations in the ratios of the length scale parameter to microbeam thickness, from 0 to 0.2, can cause large shifts in the resonance region of the frequency response curves.
Frequency response analysis of higher order composite sandwich beams with viscoelastic core Iranian Journal of Science and Technology Transactions of Mechanical Engineering, 2014
Free vibration analysis of symmetrically laminated cylindrical panels via extended Kantorovich method 16th International Congress on Sound and Vibration 2009 Icsv 2009, 2009
Nonlinear forced vibration analysis of doubly curved FGM shell panels using the method of multiple scales 16th International Congress on Sound and Vibration 2009 Icsv 2009, 2009
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A numerical study of free and forced vibration of composite sandwich beam with viscoelastic core H Arvin, M Sadighi, AR Ohadi Composite Structures 92 (4), 996-1008 , 2010 2010 Citations: 151
Non-linear modal analysis of a rotating beam H Arvin, F Bakhtiari-Nejad International Journal of Non-Linear Mechanics 46 (6), 877-897 , 2011 2011 Citations: 110
A geometrically exact approach to the overall dynamics of elastic rotating blades—part 1: linear modal properties W Lacarbonara, H Arvin, F Bakhtiari-Nejad Nonlinear Dynamics 70 (1), 659-675 , 2012 2012 Citations: 86
Application of the Chebyshev–Ritz route in determination of the dynamic instability region boundary for rotating nanocomposite beams reinforced with graphene platelet subjected … N Yang, Z Moradi, MA Khadimallah, H Arvin Engineering Analysis with Boundary Elements 139, 169-179 , 2022 2022 Citations: 82
Interactive thermal and inertial buckling of rotating temperature-dependent FG-CNT reinforced composite beams S Khosravi, H Arvin, Y Kiani Composites Part B: Engineering 175, 107178 , 2019 2019 Citations: 81
Vibration analysis of rotating composite beams reinforced with carbon nanotubes in thermal environment S Khosravi, H Arvin, Y Kiani International Journal of Mechanical Sciences, 105187 , 2019 2019 Citations: 77
Nonlinear free vibration analysis of rotating composite Timoshenko beams H Arvin, F Bakhtiari-Nejad Composite Structures 96, 29-43 , 2013 2013 Citations: 76
Nonlinear free vibration analysis of functionally graded rotating composite Timoshenko beams reinforced by carbon nanotubes M Heidari, H Arvin Journal of Vibration and Control 25 (14), 2063-2078 , 2019 2019 Citations: 59
Axisymmetric nonlinear rapid heating of FGM cylindrical shells HR Esmaeili, H Arvin, Y Kiani Journal of Thermal Stresses 42 (4), 490-505 , 2019 2019 Citations: 59
Nonlinear vibration analysis of rotating beams undergoing parametric instability: Lagging-axial motion H Arvin, A Arena, W Lacarbonara Mechanical Systems and Signal Processing 144, 106892 , 2020 2020 Citations: 54
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Free vibration analysis of micro rotating beams based on the strain gradient theory using the differential transform method: Timoshenko versus Euler-Bernoulli beam models H Arvin European Journal of Mechanics-A/Solids 65, 336-348 , 2017 2017 Citations: 51
The Flapwise Bending Free Vibration Analysis of Micro-rotating Timoshenko Beams Using the Differential Transform Method H Arvin Journal of Vibration and Control, 1077546317736706 , 2017 2017 Citations: 46
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Dynamic stability in principal parametric resonance of rotating beams: Method of multiple scales versus differential quadrature method H Arvin, YQ Tang, AA Nadooshan International Journal of Non-Linear Mechanics 85, 118-125 , 2016 2016 Citations: 40
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