Self-sustained vibrations of functionally graded carbon nanotubes-reinforced composite cylindrical shells in supersonic flow

被引:20
作者
Avramov, K. V. [1 ]
Chernobryvko, M. [1 ]
Uspensky, B. [1 ]
Seitkazenova, K. K. [2 ]
Myrzaliyev, D. [2 ]
机构
[1] Natl Acad Sci Ukraine, Podgorny Inst Mech Engn, Dept Vibrat, 2-10 Pozharskogo St, UA-61046 Kharkov, Ukraine
[2] M Auezov South Kazakhstan State Univ, Dept Mech & Engn, Shymkent, Kazakhstan
关键词
Functionally graded carbon nanotubes-reinforced material; Cylindrical shell in supersonic flow; Higher-order shear deformation theory; Dynamic instability; Self-sustained vibration; Circumferential traveling waves flutter; SHALLOW SHELLS; GEOMETRICAL NONLINEARITIES; DAMPING CHARACTERISTICS; DYNAMIC INSTABILITY; CANTILEVER PLATES; CURVED PANELS; FLUTTER; STABILITY; BEHAVIOR; EPOXY;
D O I
10.1007/s11071-019-05292-z
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Dynamic model of geometrical nonlinear deformations of functionally graded carbon nanotubes-reinforced composite cylindrical shell is obtained. Reddy higher-order shear deformation theory is used to derive this model. The finite-degree-of-freedom nonlinear system, which describes the structure nonlinear self-sustained vibrations, is obtained using the assumed-mode method. The linear piston theory is used to describe the supersonic flow. The loss of the cylindrical shell dynamic stability owing to the Hopf bifurcations is analyzed. The self-sustained vibrations, which describe the circumferential traveling waves flutter, occur due to this bifurcation. The harmonic balance method is applied to analyze these self-sustained vibrations. The properties of the circumferential traveling waves are analyzed.
引用
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页码:1853 / 1876
页数:24
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