Boundary layer theory for the nonlinear vibration of anisotropic laminated cylindrical shells

2013 ◽  
Vol 97 ◽  
pp. 338-352 ◽  
Author(s):  
Hui-Shen Shen
Keyword(s):  
Boundary Layer ◽  
Nonlinear Vibration ◽  
Cylindrical Shells ◽  
Boundary Layer Theory ◽  
Laminated Cylindrical Shells

scholarly journals Research on nonlinear vibration control of laminated cylindrical shells with discontinuous piezoelectric layer

2021 ◽  
Author(s):  
Chaofeng Li ◽  
Peiyong Li ◽  
Xueyang Miao
Keyword(s):  
Cylindrical Shell ◽  
Vibration Control ◽  
Nonlinear Vibration ◽  
Piezoelectric Layer ◽  
Cylindrical Shells ◽  
Harmonic Balance Method ◽  
Amplitude Response ◽  
Nonlinear Vibration Control ◽  
Laminated Cylindrical Shell ◽  
Laminated Cylindrical Shells

Abstract In this paper, the nonlinear vibration control of the piezoelectric laminated cylindrical shell with point supported elastic boundary condition is analyzed, in which the geometric nonlinearity is considered by the first-order shear nonlinear shell theory. In the model, different boundary conditions are simulated by introducing a series of artificial springs. The elastic-electrically coupled differential equations of piezoelectric laminated cylindrical shells are obtained based on the Chebyshev polynomials and Lagrange equation, and decoupled by using the negative velocity feedback adjustment. Later, the Incremental Harmonic Balance Method (IHBM) is deduced, and the frequency-amplitude response of the piezoelectric laminated cylindrical shell is obtained by IHBM. Finally, the influence of the constant gain, size and position of the piezoelectric layer on frequency-amplitude response are investigated. The results show that the position, size and constant gain of the piezoelectric layer have a significant influence on its nonlinear vibration control.

Effect of Boundary Conditions on Nonlinear Vibration and Flutter of Laminated Cylindrical Shells

2007 ◽  
Vol 130 (1) ◽  
Author(s):  
E. L. Jansen
Keyword(s):  
Boundary Conditions ◽  
Nonlinear Vibration ◽  
Cylindrical Shells ◽  
Perturbation Expansion ◽  
Present Theory ◽  
Dependent Variables ◽  
Lamination Theory ◽  
Initial Geometric Imperfections ◽  
Nonlinear Static ◽  
Laminated Cylindrical Shells

A nonlinear vibration analysis of laminated cylindrical shells is presented in which the effect of the specified boundary conditions at the shell edges, including nonlinear fundamental state deformations, can be accurately taken into account. The method is based on a perturbation expansion for both the frequency parameter and the dependent variables. The present theory includes the effects of finite vibration amplitudes, initial geometric imperfections, and a nonlinear static deformation. Nonlinear Donnell-type equations formulated in terms of the radial displacement W and an Airy stress function F are used, and classical lamination theory is employed. Furthermore, an extension of the theory is presented to analyze linearized flutter in supersonic flow, based on piston theory. The effect of different types of boundary conditions on the nonlinear vibration and linearized flutter behavior of cylindrical shells is illustrated for several characteristic cases.

INVERSE PROBLEMS OF BOUNDARY LAYER THEORY

2018 ◽  
Vol 49 (8) ◽  
pp. 793-807
Author(s):  
Vladimir Efimovich Kovalev
Keyword(s):  
Boundary Layer ◽  
Inverse Problems ◽  
Boundary Layer Theory
Sign in / Sign up

Export Citation Format

Share Document