Stability of a cylindrical shell under axial compression

Bakhtieva, L.; Tazyukov, F. Kh.

doi:10.3103/s1068799815010171

Cited by 5 publications

(3 citation statements)

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“…where they can satisfy both boundary conditions (the radial and the circumferential displacement are 0, and the axial displacement is not 0) and the equation set (22). Substituting equation (26) into equation 22, we can obtain the following equation…”

Section: Nonlinear Dynamic Differential Equation Of Cylindrical Shellmentioning

confidence: 99%

“…Therefore, the structure of the vehicles must be able to withstand the tremendous propulsive forces associated with propelling a body at such high-speed underwater. The supercavitating vehicle generally has very high slenderness ratio (about [10][11][12][13][14][15][16][17][18][19][20][21][22], of which the dynamic buckling deformation not only influences the safety of the structure itself but also influences stability of supercavity and motion. For the long and thin supercavitating vehicle, only the cavitator, the fins, and the tail of the body have contact with the liquid.…”

Section: Introductionmentioning

confidence: 99%

“…Kumar et al 21 used the Flu¨gge-Lure´-Byrne theory to study parametric instability of a cylinder subject to a uniform radially fluctuating pressure. Bakhtieva and Tazyukov 22 presented a modification of the algorithm to solve the task of stability for a circular cylindrical shell under axial compression.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear analysis of dynamic stability for the thin cylindrical shells of supercavitating vehicles

Zhou

Wei

et al. 2017

Advances in Mechanical Engineering

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The dynamic stability of supercavitating vehicles under periodic axial loading is investigated in this article. The supercavitating vehicle is simulated as a long and thin cylindrical shell subjected to periodic axial loading and simply supported boundary conditions. The nonlinear transverse vibration differential equation is obtained in terms of nonlinear geometric equations, physical equations, and balance equations of cylindrical shells. Mathieu equation with periodic coefficients and nonlinear term is derived by employing Galerkin variational method and Bolotin method. The analytical expressions of the steady-state amplitudes of vibrations in the first-and second-order instable regions are obtained by solving nonlinear Mathieu equation derived in this article. Numerical results are presented to analyze the influence of the sailing speed, ratio of loads, the frequency of axial loads, and the mode of vibration on parametric resonance curves and to show the nonlinear parametric resonance curves incline toward the side where it is greater than the excitation frequency, which significantly extends the range of the exciting region. The presented results indicate the enlargement of the exciting region will cause shrinkage of the safe frequency range of external loads and decrease in dynamic stability of supercavitating vehicle.

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Section: Nonlinear Dynamic Differential Equation Of Cylindrical Shellmentioning

confidence: 99%