Natural vibrations and stability of a stationary or rotating circular cylindrical shell containing a rotating fluid

Бочкарев, С. А.; Матвеенко, В. П.

doi:10.1016/j.compstruc.2010.12.016

Cited by 13 publications

(3 citation statements)

References 24 publications

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“…In Figure 1a, the dimensional critical velocity of the fluid flow (Λ = U/ξ, ξ = E/ρ s (1 − ν 2 )) is plotted versus the ratio of the shell length to its radius L/R. This figure also compares the results of the present works with the results for a two-dimensional problem obtained in [5] by a semi-analytical variant of the finite-element method (denoted by dots). The comparison shows that the proposed algorithm provides a rather high level of calculation accuracy.…”

Section: Mathematical Formulation Of the Problem And Its Numerical Immentioning

confidence: 74%

Numerical modeling of elliptical cylindrical shells, containing flowing fluid

Бочкарев

Lekomtsev

Матвеенко

2013

Proc Appl Math and Mech

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The paper presents a finite-element algorithm for investigation of the dynamic behavior of elastic shells with arbitrary cross sections containing a flowing fluid. A curvilinear surface of the structure is approximated by a set of plane elements, which are subjected to both membrane and bending forces. Description of the shell motion is based on the variable principle of virtual displacements, which includes the linearized Bernoulli equation for calculation of hydrodynamic pressure. A compressible non-viscous fluid is considered in the framework of the potential theory, the equations of which are transformed with the use of the Bubnov-Galerkin method. The performance of the algorithm is demonstrated by the example of two shells with a circular and elliptical cross section. Numerical simulation have been carried out to analyze the influence of the ratio of the ellipse semi-axes, the linear dimensions of the structure and the level of shell filling on the hydrodynamic stability of the connected "shell-fluid" system.

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Section: Mathematical Formulation Of the Problem And Its Numerical Immentioning

confidence: 74%

Numerical modeling of elliptical cylindrical shells, containing flowing fluid

Бочкарев

Lekomtsev

Матвеенко

2013

Proc Appl Math and Mech

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“…Since the linear model cannot account for the mentioned phenomenon, the solution blows up. Only in a few papers, the influence of boundary conditions on the character of dynamic behavior of rotating shells interacting with a combined fluid flow has studied [11,12]. Numerical analysis of stability of a stationary or rotating circular cylindrical shell containing axially flowing and rotating fluid was discussed by Bochkarev and Matveenko [11,12].…”

Section: Introductionmentioning

confidence: 98%

“…Only in a few papers, the influence of boundary conditions on the character of dynamic behavior of rotating shells interacting with a combined fluid flow has studied . Numerical analysis of stability of a stationary or rotating circular cylindrical shell containing axially flowing and rotating fluid was discussed by Bochkarev and Matveenko . They presented the results of the semianalytical version of the finite element method for shells with various boundary conditions and different dimensions.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration and instability of rotating piezoelectric nanocomposite sandwich cylindrical shells containing axially flowing and rotating fluid–particle mixture

2016

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Axially flowing and rotating fluid‐particle mixture‐induced vibration and instability of a sandwich cylindrical shell are the main contribution of this work. The sandwich structure is made from a functionally graded carbon nanotube‐reinforced composite (CNTRC) cylindrical shell integrated with piezoelectric sensor and actuator layers. In this regard, the perturbation velocity potential is introduced and the pressure exerted by a fluid is obtained by the linearized Bernoulli formula. The actuator layer is subjected to an applied voltage in thickness direction which operates in control of vibration and stability. Based on Mindlin shell theory, the motion equations are derived and solved by the differential quadrature method (DQM). A detailed parametric study is conducted to elucidate the influences of the vibrational modes, distribution type and volume fractions of single‐walled carbon nanotubes (SWCNTs), boundary conditions, volume percent of particles and applied voltage on the vibration and instability of the structure. Results indicate that the system becomes unstable in the form of flutter in the cases of angular rotation of the shell or fluid as well as axial flow and angular rotation of the fluid while in the case of the rotating shell containing a corotating fluid, the loss of stability does not occur. POLYM. COMPOS., 38:E577–E596, 2017. © 2016 Society of Plastics Engineers

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