Vibrations of Shells of Revolution with Branched Meridian

Bespalova, E. I.; Urusova, G. P.

doi:10.1007/s10778-016-0735-9

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2023

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Cited by 8 publications

(2 citation statements)

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“…However, the above papers considered the problems exclusively on the stressed-strained state of plates and shells. The problems on the free oscillations of the shells were solved in article [6]; the branched meridian method was used. This method combines a Fourier method, an incremental search method, and an orthogonal sweep method.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

Discovering a pattern in the free vibrations of gently sloping shells of different geometry in the classic and refined statements

Grigorenko

Parkhomenko

Darmosiuk

et al. 2020

EEJET

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Section: Literature Review and Problem Statementmentioning

confidence: 99%

Discovering a pattern in the free vibrations of gently sloping shells of different geometry in the classic and refined statements

Grigorenko

Parkhomenko

Darmosiuk

et al. 2020

EEJET

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“…In articles [6][7], an approach to identifying the main domain of dynamic instability for systems consisting of shells of rotation of various shapes under axisymmetric periodic loading is described. The original problem is reduced to one-dimensional eigenvalue problems along the meridional coordinate.…”

Section: Introductionmentioning

confidence: 99%

Simulation of dynamic processes of shell structures with viscoelastic elements

et al. 2023

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The paper presents the choice and method of calculating thin-walled structures that adequately reflect deformation in the compensator example. When choosing a design model, the influence of structural elements and their mechanical characteristics on its behavior in various operating conditions is taken into account since sometimes small changes in the design model can significantly impact the design analysis results. The complete design scheme of most designs, particularly the compensator, leads to statically indeterminate systems. Taking into account the energy dissipation in the shell material; the boundary value problems are reduced to a system of ordinary differential equations of the 12th order. The forms of natural oscillations for the first four natural frequencies are given. It is established that the inertia forces acting in the axial direction do not significantly affect the stress-strain state of shell structures.

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