DYNAMIC STABILITY OF A CYLINDRICAL SHELL REINFORCED BY LONGITUDINAL RIBS AND A HOLLOW CYLINDER UNDER THE ACTION OF AXIAL FORCES

被引：8

作者：

Bakulin, V. N. ^{[1
]}

Volkov, E. N. ^{[2
]}

Nedbai, A. Ya. ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Appl Mech, 7 Leningrad Ave, Moscow 125040, Russia

[2] Moscow Inst Heat Engn, 10 Birch Alley, Moscow 127273, Russia

来源：

JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS | 2016年 / 89卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

dynamic instability; cylindrical orthotropic shell; longitudinal ribs; stability region; hollow cylinder;

D O I：

10.1007/s10891-016-1435-3

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The dynamic stability of a cylindrical orthotropic shell reinforced by longitudinal ribs and a hollow cylinder under the action of axial forces changing harmonically with time was investigated with regard for the axial contact interaction of the shell with the ribs. A solution of the differential equations defining this process has been obtained in the form of trigonometric series in the angular and time coordinates. A two-term approximation of the Mathieu-Hill equations of motion was used for construction of the main region of instability of the shell. As a result, the problem was reduced to a system of algebraic equations for components of displacements of the shell at the locations of the ribs. The problem for uniformly spaced ribs was solved in the explicit form. A numerical example of this solution is presented.

引用

页码：747 / 753

页数：7

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