Natural frequencies of rotating functionally graded cylindrical shells

• Published in: Applied mathematics and mechanics Vol. 33; no. 3; pp. 345 - 356
• Main Author: 项松 李广超 张魏 杨明绥
• Format: Journal Article
• Language: English
• Published: Heidelberg Shanghai University Press 01.03.2012; Liaoning Key Laboratory of General Aviation, Shenyang Aerospace University,Shenyang 110136, P. R. China; Liaoning General Aviation Academy, Shenyang 110136, P. R. China%School of Power and Energy Engineering, Shenyang Aerospace University,Shenyang 110136, P. R. China
• Subjects: Applications of Mathematics; Classical Mechanics; Fluid- and Aerodynamics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Partial Differential Equations; 功能梯度; 各向同性; 固有频率; 圆柱壳; 幂律指数; 旋转; 自然频率; 近似理论; cylindrical shell; rotating; natural frequency; O326; 35J58; functionally graded material
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-012-1554-6

Love＇s first approximation theory is used to analyze the natural frequencies of rotating functionally graded cylindrical shells. To verify the validity of the present method, the natural frequencies of the simply supported non-rotating isotropic cylindrical shell and the functionally graded cylindrical shell are compared with available published results. Good agreement is obtained. The effects of the power law index, the wave numbers along the x- and O-directions, and the thickness-to-radius ratio on the natural frequencies of the simply supported rotating functionally graded cylindrical shell are investigated by several numerical examples. It is found that the fundamental frequencies of the backward waves increase with the increasing rotating speed, the fundamental frequencies of the forward waves decrease with the increasing rotating speed, and the forward and backward waves frequencies increase with the increasing thickness-to-radius ratio.