Active vibration control of rotating laminated composite truncated conical shells through magnetostrictive layers based on first-order shear deformation theory

Mohammadrezazadeh, Shahin; Jafari, Ali

doi:10.1007/s40430-020-02363-w

Cited by 10 publications

(1 citation statement)

References 38 publications

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“…Among these, the R-K method stands out as arguably the most widely embraced numerical approach for solving both linear and nonlinear differential equations [1][2][3][4][5][6][7]. In this context, the 4th order R-K method, in particular, enjoys extensive utilization in addressing nonlinear dynamic issues pertaining to shells [8][9][10][11][12][13][14]. Its prevalence extends beyond shell dynamics, finding widespread application in resolving various nonlinear challenges across the scientific and engineering domains [15][16][17].…”

Section: Introductionmentioning

confidence: 99%

A semi-analytical and numerical approach for solving 2-D and 6-D nonlinear and complex functionally graded tubular systems

Dai,

Foroutan

2024

Preprint

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This study delves into nonlinear vibratory responses of functionally graded (FG) tubes subjected to transverse loads, considering material properties that vary with temperature. A refined beam model established for the tubes satisfies the stress boundary conditions on inner and outer surfaces of the tubes. The nonlinear vibration equations for these functionally graded tubes are meticulously derived with employment of the Zhang–Fu high-order shear deformation beam model, the von Kármán equation, and Hamilton’s principle. The proposed approach is applied to address externally excited nonlinear FG tube systems, encompassing both the 2 degrees of freedom (DOF) single-mode systems and 6 DOF multi-mode systems. Utilizing Galerkin’s method, the resulting discretized nonlinear governing equations allow for the analyses of single and multi-mode tubular system behavior. In solving for the tubular system, an approach implementing the P-T method is managed to be implemented, which yields a continuous semi-analytical solution throughout the entire time domain considered. The approach also demonstrates the advances on the development of a genuinely new computational method with broad impact. In comparison to the widely used Runge-Kutta (R-K) method, the proposed approach demonstrates superior efficiency, accuracy, and reliability, especially for highly nonlinear and complex systems like the FG tubular systems.

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Section: Introductionmentioning

confidence: 99%

A semi-analytical and numerical approach for solving 2-D and 6-D nonlinear and complex functionally graded tubular systems

Dai,

Foroutan

2024

Preprint

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Traveling wave vibration control of rotating functionally graded conical shells via piezoelectric sensor/actuator pairs

Sun,

Zhao,

Cao

2024

Arch Appl Mech

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Frequency response of rotating two-directional functionally graded GPL-reinforced conical shells on elastic foundation

Amirabadi

Farhatnia

Cívalek

2021

J Braz. Soc. Mech. Sci. Eng.

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In this article, a semi-analytical solution is provided to investigate the free vibration characteristics of rotating truncated conical shells surrounded by a Winkler-Pasternak type foundation. It is assumed that the material of the shell is composed of epoxy as matrix and graphene nanoplatelets (GPLs) as reinforcement dispersed in both thickness and length directions of the shell. The shell is modeled based on first-order shear deformation theory and the equivalent mechanical properties are evaluated using the rule of the mixture and the Halpin-Tsai model. The governing equations are derived by implementing Hamilton's principle incorporating centrifugal acceleration, Coriolis acceleration, and the initial hoop tension. Utilizing trigonometric functions, an analytical solution is presented to solve the governing equations in the circumferential direction and a numerical solution is provided in the longitudinal direction by utilizing differential quadrature method. The convergence and accuracy of the present results are examined with those available in the literature. A parametric study is provided to check the influences of boundary conditions, rotational speed, circumferential wave number, mass fraction and dispersion pattern of the GPLs, and Winkler and shear coefficients of the foundation on the natural frequencies of the shell. It is concluded that an increment in the mass fraction of the GPLs increases the natural frequencies and the GPLs scattering near the inner surface and the small radius of the shell have a higher reinforcing effect.

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Active vibration control of rotating laminated composite truncated conical shells through magnetostrictive layers based on first-order shear deformation theory

Cited by 10 publications

References 38 publications

A semi-analytical and numerical approach for solving 2-D and 6-D nonlinear and complex functionally graded tubular systems

A semi-analytical and numerical approach for solving 2-D and 6-D nonlinear and complex functionally graded tubular systems

Traveling wave vibration control of rotating functionally graded conical shells via piezoelectric sensor/actuator pairs

Frequency response of rotating two-directional functionally graded GPL-reinforced conical shells on elastic foundation

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