Free vibration of circular cylindrical shell with constrained layer damping

• Published in: Applied mathematics and mechanics Vol. 32; no. 4; pp. 495 - 506
• Main Author: 曹雄涛 张志谊 华宏星
• Format: Journal Article
• Language: English
• Published: Heidelberg Shanghai University Press 01.04.2011; State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University,Shanghai 200240, P. R. China
• Subjects: Applications of Mathematics; Classical Mechanics; Constraints; Core loss; Cylindrical shells; Fluid- and Aerodynamics; Free vibration; Mathematical Modeling and Industrial Mathematics; Mathematical models; Mathematics; Mathematics and Statistics; Partial Differential Equations; Thin walled shells; Viscoelasticity; Wave propagation; cylindrical shell; constrained layer damping; sandwich shell; viscoelastic material; free vibration; O326; 74K25
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-011-1433-7

Free vibration characteristics of circular cylindrical shell with passive constrained layer damping （PCLD）are presented. Wave propagation approach rather than finite element method, transfer matrix method, and Rayleigh-Ritz method is used to solve the problem of vibration of PCLD circular cylindrical shell under a simply supported boundary condition at two ends. The governing equations of motion for the orthotropic cylindrical shell with PCLD are derived on the base of Sanders＇ thin shell theory. Nu- merical results show that the present method is more effective in comparison with other methods. The effects of the thickness of viscoelastic core and constrained layer, the elastic modulus ratio of orthotropic constrained layer, the complex shear modulus of viscoelastic core on frequency parameter, and the loss factor are discussed.