Effect of shear deformation of the stressed state of a three-layer spherical shell weakened by an aperture

1976 ◽  
Vol 12 (3) ◽  
pp. 250-256
Author(s):  
A. A. Savichenko
Keyword(s):  
Stressed State ◽  
Spherical Shell ◽  
Shear Deformation

scholarly journals A Semianalytical Approach for Free Vibration Characteristics of Functionally Graded Spherical Shell Based on First-Order Shear Deformation Theory

2019 ◽  
Vol 2019 ◽  
pp. 1-18 ◽  
Author(s):  
Fuzhen Pang ◽  
Cong Gao ◽  
Jie Cui ◽  
Yi Ren ◽  
Haichao Li ◽  
...  
Keyword(s):  
Free Vibration ◽  
Spherical Shell ◽  
Shear Deformation ◽  
Deformation Theory ◽  
Ritz Method ◽  
Shear Deformation Theory ◽  
Vibration Characteristics ◽  
Functionally Graded ◽  
Numerical Verification ◽  
First Order

This paper describes a unified solution to investigate free vibration solutions of functionally graded (FG) spherical shell with general boundary restraints. The analytical model is established based on the first-order shear deformation theory, and the material varies uniformly along the thickness of FG spherical shell which is divided into several sections along the meridian direction. The displacement functions along circumferential and axial direction are, respectively, composed by Fourier series and Jacobi polynomial regardless of boundary restraints. The boundary restraints of FG spherical shell can be easily simulated according to penalty method of spring stiffness technique, and the vibration solutions are obtained by Rayleigh–Ritz method. To verify the reliability and accuracy of the present solutions, the convergence and numerical verification have been conducted about different boundary parameters, Jacobi parameter, etc. The results obtained by the present method closely agree with those obtained from the published literatures, experiments, and finite element method (FEM). The impacts of geometric dimensions and boundary conditions on the vibration characteristics of FG spherical shell structure are also presented.

Stressed state of a piecewise-homogeneous spherical shell with a curvilinear hole

1976 ◽  
Vol 12 (7) ◽  
pp. 653-656
Author(s):  
A. A. Syas'kii ◽  
V. A. Syas'kii
Keyword(s):  
Stressed State ◽  
Spherical Shell ◽  
Curvilinear Hole

scholarly journals Free Vibration Response of Four-Parameter Functionally Graded Thick Spherical Shell Formulation on Higher-Order Shear Deformation Theory

2020 ◽  
Vol 9 (3) ◽  
pp. 464-473
Keyword(s):  
Free Vibration ◽  
Spherical Shell ◽  
Shear Deformation ◽  
Power Law ◽  
Deformation Theory ◽  
Volume Fraction ◽  
Shear Deformation Theory ◽  
Higher Order ◽  
Functionally Graded ◽  
Skew Angle

This paper emphasizes on the free vibration (FV) responses of functionally graded thick spherical shell in rectangular form using traditional mathematical formulation on finite element method and governed by Higher order shear deformation theory (HOSDT). A functionally graded spherical shell made up of metal-rich on the top surface and in contrast, base surface of the model is ceramic-rich. The FG volume fraction of four-parameter power-law material constituents assumed in the thickness direction. To highlight the potential for the current method, convergence studies, and validation tests performed to establish the stability and accuracy attained by the current approach. The parametric studies presented to scrutinize the influence of choice of four parameters employed through power-law distribution. The eminence effect of spherical shell geometrical properties, and different types of support conditions, skew angle on the FV behavior of non-dimensional frequency responses examined in detail.

Three-dimensional stressed state of an unclosed spherical shell

1979 ◽  
Vol 15 (11) ◽  
pp. 1043-1048
Author(s):  
Yu. N. Podil'chuk ◽  
S. A. Goloborod'ko
Keyword(s):  
Stressed State ◽  
Spherical Shell ◽  
Three Dimensional

Interference of two holes on the stressed state in a three-layered spherical shell

1975 ◽  
Vol 11 (12) ◽  
pp. 1260-1264
Author(s):  
G. A. Vanin ◽  
A. A. Savichenko
Keyword(s):  
Stressed State ◽  
Spherical Shell
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