Axisymmetric Nonlinear Dynamic Response of Bimodulus Annular Plates

1990 ◽  
Vol 112 (2) ◽  
pp. 202-205
Author(s):  
R. S. Srinivasan ◽  
L. S. Ramachandra
Keyword(s):  
Dynamic Response ◽  
Nonlinear Dynamic ◽  
Geometrically Nonlinear ◽  
Circular Plates ◽  
Governing Equations ◽  
Numerical Work ◽  
Nonlinear Dynamic Response ◽  
Annular Plates ◽  
Edge Conditions ◽  
The Time Domain

In the present study, the geometrically nonlinear dynamic response of bimodulus annular and circular plates is obtained. The governing equations of the problem are formulated using the energy method and are solved by using annular finite elements spacewise. The integration in the time domain is accomplished by the Wilson θ method. Numerical work has been done for different hole sizes under various edge conditions and loadings.

Nonlinear Dynamic Response of Piezoelectric Cylindrical Shell with Delamination under Hygrothermal Conditions

2012 ◽  
Vol 204-208 ◽  
pp. 4698-4701
Author(s):  
Jin Hua Yang ◽  
De Liang Chen
Keyword(s):  
Cylindrical Shell ◽  
Finite Difference Method ◽  
Dynamic Response ◽  
Nonlinear Dynamic ◽  
Equations Of Motion ◽  
Transverse Motion ◽  
Governing Equations ◽  
Nonlinear Dynamic Response ◽  
The Finite Difference Method ◽  
Delamination Length

Abstract. On the basis of the nonlinear plate-shell and piezoelectric theory, the governing equations of motion for axisymmetrical piezoelectric delaminated cylindrical shell under hygrothermal conditions were derived. The governing equation of transverse motion was modified by contact force and thus the penetration between two delaminated layers could be avoided. The whole problem was resolved by using the finite difference method. In calculation examples, the effects of delamination length, depth and amplitude of load on the nonlinear dynamic response of the axisymmetrical piezoelectric delaminated shell under hygrothermal conditions were discussed in detail.

scholarly journals A semi-analytic approach for the nonlinear dynamic response of circular plates

2009 ◽  
Vol 33 (12) ◽  
pp. 4303-4313 ◽  
Author(s):  
J.-S. Peng ◽  
Y.-Q. Yuan ◽  
J. Yang ◽  
S. Kitipornchai
Keyword(s):  
Dynamic Response ◽  
Nonlinear Dynamic ◽  
Analytic Approach ◽  
Circular Plates ◽  
Nonlinear Dynamic Response

Nonlinear Dynamic Response of Piezoelectric Beam Reinforced with BNNTs under Electro-Thermo-Mechanical Loadings

2014 ◽  
Vol 1065-1069 ◽  
pp. 1083-1086
Author(s):  
Jin Hua Yang ◽  
Wen Liang Fan
Keyword(s):  
Variational Principle ◽  
Dynamic Response ◽  
Nonlinear Dynamic ◽  
Constitutive Relations ◽  
Boron Nitride Nanotubes ◽  
Governing Equations ◽  
Nonlinear Dynamic Response ◽  
Numerical Examples ◽  
Piezoelectric Beam ◽  
The Finite Difference Method

This paper presents an investigation on the nonlinear dynamic response of piezoelectric beam reinforced with boron nitride nanotubes (BNNTs) under combined electro-thermo-mechanical loadings. By employing nonlinear strain and utilizing piezoelectric theory, the constitutive relations of the piezoelectric beam reinforced with BNNTs are established. Then the dynamic governing equations of the structure are derived through variational principle and resolved by applying the finite difference method. In numerical examples, the effects of geometric nonlinear, voltage etc. on the nonlinear dynamic response of piezoelectric beam reinforced with BNNTs are discussed.

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