scholarly journals The Thermoelastic Dynamic Response of Thick Closed Laminated Shell

2005 ◽  
Vol 12 (4) ◽  
pp. 283-291 ◽  
Author(s):  
Ke Wei Ding
Keyword(s):  
Cylindrical Shell ◽  
Stress Distribution ◽  
Dynamic Response ◽  
Thermal Stresses ◽  
Hamilton Equation ◽  
State Equations ◽  
Weak Formulation ◽  
Laminated Shell ◽  
Arbitrary Precision ◽  
Laminated Cylindrical Shell

Giving up any assumptions about displacement models and stress distribution, weak formulation of mixed state equations including boundary conditions of laminated cylindrical shell are presented. Thermal stresses mixed Hamilton equation of closed cylindrical shell is established. The analytical solutions are obtained for the thermoelastic dynamic response of a thick closed laminated shell subjected to temperature variation. Every equation of elasticity can be satisfied, and all elastic constants can be taken into account. Arbitrary precision of a desired order can be obtained.

Static analysis of an anisotropic laminated cylindrical shell with piezoelectric layers using differential quadrature method

2008 ◽  
Vol 222 (6) ◽  
pp. 865-880 ◽  
Author(s):  
A Alibeigloo
Keyword(s):  
Cylindrical Shell ◽  
Differential Equations ◽  
Static Analysis ◽  
Differential Quadrature Method ◽  
Differential Quadrature ◽  
Quadrature Method ◽  
State Equations ◽  
Dimensional Solution ◽  
Piezoelectric Layers ◽  
Laminated Cylindrical Shell

A three-dimensional solution is presented for the static analysis of an anisotropic laminated cylindrical shell embedded in piezoelectric layers with arbitrary conditions at the ends, using the differential quadrature method (DQM). With the Soong assumption, governing equations are reduced to differential equations with constant coefficients. By applying the DQM to the obtained governing differential equations and to the boundary conditions along the longitudinal direction, new state equations for state variables are derived at discrete points. Stress, displacement, and electric potential distributions are obtained by solving these state equations. Both direct and inverse piezoelectric effects are investigated, and the influence of piezoelectric layers on the mechanical behaviour of the shell is studied. The method is validated by comparing the numerical results for the shell with the simply supported edges, which can be solved analytically.

Delamination Buckling of Piezoelectric Laminated Cylindrical Shell under Axial Compression

2013 ◽  
Vol 753-755 ◽  
pp. 1207-1211
Author(s):  
Jin Hua Yang ◽  
De Liang Chen ◽  
Xu Long Peng
Keyword(s):  
Cylindrical Shell ◽  
Constitutive Relations ◽  
Step Function ◽  
Governing Equations ◽  
Heaviside Step Function ◽  
Laminated Shell ◽  
Numerical Examples ◽  
Delamination Buckling ◽  
Laminated Cylindrical Shell ◽  
Delamination Length

The buckling of the piezoelectric laminated cylindrical shell with throughout circumference delamination is analyzed in this paper. By introducing the Heaviside step function into assumed displacement components and using elastic piezoelectric theory, the constitutive relations of the piezoelectric laminated shell with delamination are established. Then the buckling governing equations of the structure are derived through variational principle. In numerical examples, the effects of delamination length, depth, material property and thickness of piezoelectric layer on the buckling load of piezoelectric laminated shell with delamination are investigated.

Free Vibration of Piezoelectric Laminated Cylindrical Shell with Delamination

2012 ◽  
Vol 538-541 ◽  
pp. 2576-2581 ◽  
Author(s):  
Jin Hua Yang ◽  
De Liang Chen ◽  
Cheng Jiang
Keyword(s):  
Cylindrical Shell ◽  
Free Vibration ◽  
Constitutive Relations ◽  
Step Function ◽  
Governing Equations ◽  
Heaviside Step Function ◽  
Laminated Shell ◽  
Numerical Examples ◽  
Laminated Cylindrical Shell ◽  
Delamination Length

Abstract. The free vibration of the piezoelectric laminated cylindrical shell with throughout circumference delamination is analyzed in this paper. By introducing the Heaviside step function into assumed displacement components and using elastic piezoelectric theory, the constitutive relations of the piezoelectric laminated shell with delamination are established. Then the dynamic governing equations of the structure are derived through variational principle. In numerical examples, the effects of delamination length, depth, boundary condition, material property and thickness of piezoelectric layer on the first natural frequency of piezoelectric laminated shell with delamination are investigated.

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