Models of Deformation of Stiffened Orthotropic Shells under Dynamic Loading

Semenov, Alexey; Семенов, Алексей Александрович

doi:10.17516/1997-1397-2016-9-4-485-497

Cited by 5 publications

(1 citation statement)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Two models of deformation of reinforced orthotropic shells under dynamic load are considered in [12]. Mathematical models are based on the Kirchhoff-Love hypothesis of shell theory.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear parametric oscillations of a viscoelastic shallow shell of variable thickness

et al. 2019

View full text Add to dashboard Cite

The problem of parametric oscillations of an isotropic viscoelastic shallow shell of variable thickness under periodic load is considered. It is believed that under the influence of specified load, the shallow shell allows displacements (in particular, deflections), commensurate with its thickness. In a geometrically nonlinear statement, taking into account the viscoelastic properties of material, a mathematical model of the problem has been developed using the classical Kirchhoff-Love hypothesis. Using the Bubnov-Galerkin method based on the polynomial approximation of the deflections, the problem is reduced to the study of the system of integro-differential equations, where time is the independent variable. The solution of the system of integrodifferential equations is determined by the proposed numerical method. Based on this method, a numerical solution algorithm is described. The Koltunov-Rzhanitsyn kernel with three different rheological parameters is chosen as a weakly singular kernel. At the same time, the effect of geometric nonlinearity, viscoelastic properties of material, as well as other physicomechanical and geometric parameters and factors (rheological parameters, thickness, initial shape imperfections, aspect ratios, boundary conditions, excitation coefficient) on the area of dynamic instability is taken into account. The results obtained in this study are in good agreement with the results and data obtained by other authors.

show abstract

“…Two models of deformation of reinforced orthotropic shells under dynamic load are considered in [12]. Mathematical models are based on the Kirchhoff-Love hypothesis of shell theory.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear parametric oscillations of a viscoelastic shallow shell of variable thickness

et al. 2019

View full text Add to dashboard Cite

show abstract

Vibrations of Cylindrical Shell Structures Filled With Layered Viscoelastic Material

et al. 2021

View full text Add to dashboard Cite

A thin-walled shell and a thick-walled mass (cylinder) in contact with it, made of a different material, are structural elements of many machines, apparatus, and structures. The paper considers forced steady-state vibrations of cylindrical shell structures filled with a layered viscoelastic material. The study aims to determine the damping properties of vibrations of a structurally inhomogeneous cylindrical mechanical system under the influence of harmonic loads. The dynamic stress-strain state of a three-layer cylindrical shell filled with a viscoelastic material under the action of internal time-harmonic pressure is investigated. The oscillatory processes of the filler and the bonded shell satisfy the Lamé equations. At the contact between the shell and the filler, the rigid contact conditions are satisfied. Dependences between stresses and strains for a linear viscoelastic material are presented in the form of the Boltzmann-Voltaire integral. The method of separation of variables, the method of the theory of potential functions (special functions), and the Gauss method are used to solve this problem. Based on the analysis of the numerical results, it was found that the dependence of the resonant amplitude of the shell displacements on the viscous properties of the filler is 12-15%. Analysis of the results obtained shows that the study of vibrations of shells containing fillers according to the rod theory will lead to rather large erroneous results (up to 20%).

show abstract

Natural vibrations of reinforced viscoelastic cylindrical shells with a viscoelastic filler. Part 1

Akhmedov

Tursunov

Safarov

et al. 2022

Proceedings of the Ii International Scientific Conference on Advances in Science, Engineering and Digital Education: (Asedu-Ii

View full text Add to dashboard Cite

Models of Deformation of Stiffened Orthotropic Shells under Dynamic Loading

Cited by 5 publications

References 12 publications

Nonlinear parametric oscillations of a viscoelastic shallow shell of variable thickness

Nonlinear parametric oscillations of a viscoelastic shallow shell of variable thickness

Vibrations of Cylindrical Shell Structures Filled With Layered Viscoelastic Material

Natural vibrations of reinforced viscoelastic cylindrical shells with a viscoelastic filler. Part 1

Contact Info

Product

Resources

About