Transient response of functionally graded carbon nanotubes reinforced composite conical shell with ring-stiffener under the action of impact loads

Аврамов, К. В.; Uspensky, B.; Sakhno, N.; Nikonov, O. V.

doi:10.1016/j.euromechsol.2021.104429

Cited by 12 publications

(6 citation statements)

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“…Тонкостінні конструкції з нанокомпозитних матеріалів, що складаються з конічних та циліндричних оболонок, досліджувалися в роботах [3,5,7,19,22].…”

Section: моделі тонкостінних нанокомпозитних конструкційunclassified

“…Застосовуючи метод заданих форм, розкладання (7) застосовуються до потенціальної та кінетичної енергій системи. В результаті після інтегрування ці енергії є поліноміальними функціями узагальнених координат та узагальнених швидкостей.…”

Section: моделі тонкостінних нанокомпозитних конструкційunclassified

“…Записується потенціальна та кінетична енергії системи. Розклади узагальнених переміщень записуються у вигляді (7). Внаслідок застосування методу заданих форм отримуємо динамічну систему типу (8).…”

Section: рис 3 тришарова конічна оболонка та стільниковий заповнювачunclassified

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Dynamic Properties of Nanocomposite and Three-Layer Thin-Walled Aerospace Elements Manufactured by Additive Technologies

Avramov¹,

Uspensky²,

Derevyanko³

et al. 2023

Kosm. nauka tehnol.

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Nanocomposite and sandwich plates with a honeycomb core are characterized by a high strength-to-mass ratio. Thus, such a solution is very promising for the aerospace and aircraft industry. This paper represents a mathematical model for a nanocomposite functionally gradient cylindrical shell interacting with a supersonic gas flow. To obtain such a model, the predetermined form method is used. An ordinary nonlinear differential equations system is obtained to describe the self-sustained vibrations of the shell. The structure model is developed using nonlinear strain-displacement relationships to analyze self-sustained vibrations. A model describing self-sustained vibrations of a sandwich conical shell interacting with a supersonic gas flow is obtained. The core layer of the shell is an FDM-manufactured honeycomb. The stress state of the structure is analyzed using the highorder shear deformations theory. Each layer’s stress state is described by five coordinates which are the three displacements of the midsurface and two angles of rotation of the normal to the midsurface. At the layers’ junctions, the border conditions of displacements’ continuity are used. To analyze self-sustained vibrations, the nonlinear strain-displacement relationships are utilized. Using the normal modes technique allows us to obtain a nonlinear autonomous dynamic system. Results of numerical simulations of self-sustained vibrations are provided. They are obtained by solving a nonlinear boundary value problem for the ordinary differential equations system using shooting and continuation techniques. Experimental investigation of sandwich plates’ fatigue with honeycomb core is considered. A method of fatigue testing of sandwich plates is described. The testing results are presented using S-N diagrams.

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Section: моделі тонкостінних нанокомпозитних конструкційunclassified

Section: рис 3 тришарова конічна оболонка та стільниковий заповнювачunclassified

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Dynamic Properties of Nanocomposite and Three-Layer Thin-Walled Aerospace Elements Manufactured by Additive Technologies

Avramov¹,

Uspensky²,

Derevyanko³

et al. 2023

Kosm. nauka tehnol.

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“…Duc et al, [14] presented the analytical solutions to study nonlinear buckling behaviours of imperfect stiffened composite cylindrical panels reinforced by CNTs resting on elastic foundations in thermal environments. Avramov et al, [15] presented the mathematical model of transient response of functionally graded carbon nanotubes reinforced conical shell with ring-stiffeners based on the TSDT. Maji et al, [16] studied the thermo-elastic vibration of graphene reinforced composite stiffened plate with general boundary conditions using FEM based on first-order shear deformation theory.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Static Stability of Stiffened Nanocomposite Plate s Subjected Various Types of Loads

Thành

2022

MaP

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This work deals with the nonlinear buckling and post-buckling of stiffened nanocomposite plates reinforced functionally graded carbon nanotubes (FG CNTRC) resting on elastic foundation in thermal environment. Obtained results showed that the properties of the nanocomposited plates embedded with single-walled carbon nanotubes are dependent on temperature and altered according to linear functions of the thickness. The governing equations are derived by the third-order shear deformation plate theory taking into account von Kármàn geometrical nonlinearity and solved by both the Airy’s stress function and Galerkin method. In numerical results, the influences of various types of distribution and volume fractions of carbon nanotubes, geometrical parameters, elastic foundations on the nonlinear buckling and post-buckling behaviour of stiffened FG-CNTC plates subjected mechanical, thermal loading and both are demonstrated. Keywords: Stiffened FG CNTRC plates; Buckling and Post buckling analysis; Third-order shear deformation theory; Thermal environment; Galerkin method This work deals with the nonlinear buckling and post-buckling of stiffened nanocomposite plates reinforced functionally graded carbon nanotubes (FG CNTRC) resting on elastic foundation in thermal environment. Obtained results showed that the properties of the nanocomposited plates embedded with single-walled carbon nanotubes are dependent on temperature and altered according to linear functions of the thickness. The governing equations are derived by the third-order shear deformation plate theory taking into account von Kármàn geometrical nonlinearity and solved by both the Airy’s stress function and Galerkin method. In numerical results, the influences of various types of distribution and volume fractions of carbon nanotubes, geometrical parameters, elastic foundations on the nonlinear buckling and post-buckling behaviour of stiffened FG-CNTC plates subjected mechanical, thermal loading and both are demonstrated.

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“…Wave propagation in solids is an important topic for engineers and scientists in the related fields [1,2]. Particularly, dynamic response of structures under transient moving load has long been an interesting subject in the field of civil, transportation, geological and seismological engineering [3][4][5][6]. For example, infrastructure in transportation engineering is a typical half-space subjected to moving load from the running vehicle [7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Dynamic response of the half-space subjected to a moving point load and thermal stress

Zhou¹,

Shui²,

Su³

2022

Phys. Scr.

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Dynamic transient response of the half-space subjected to a moving point load and thermal stress is investigated analytically in this study. By employing the Helmholtz decomposition and introducing a moving coordinate system, the corresponding modified partial differential equations of motion for the transient waves in the half-space are firstly obtained. With one-side and two-side Laplace transformation over the new time and space variables, the second-order partial differential equations of motion in the modified system are then simplified as the ordinary differential equations, whose solutions are thereafter obtained when the boundary condition is satisfied. To get the dynamic response in time domain, the analytical solutions in Laplace domain are inverted using the Cagniard-de Hoop method. Some examples are evaluated and discussed in details for the purpose of examining the effect of the moving load and thermal stress on the transient response of the half-space.

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Transient response of functionally graded carbon nanotubes reinforced composite conical shell with ring-stiffener under the action of impact loads

Cited by 12 publications

References 50 publications

Dynamic Properties of Nanocomposite and Three-Layer Thin-Walled Aerospace Elements Manufactured by Additive Technologies

Dynamic Properties of Nanocomposite and Three-Layer Thin-Walled Aerospace Elements Manufactured by Additive Technologies

Nonlinear Static Stability of Stiffened Nanocomposite Plate s Subjected Various Types of Loads

Dynamic response of the half-space subjected to a moving point load and thermal stress

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