scholarly journals DEFORMATIONS AND STRESSES IN CIRCULAR CYLINDRICAL SHELLS CAUSED BY PIPE ATTACHMENT. PART 6. DERIVATION OF GENERALIZED DONNELL-TYPE EQUATIONS FOR CIRCULAR CYLINDRICAL SHELLS WITH APPLICATION TO SHELLS WITH LINE LOADS ALONG GENERATRICES

1953 ◽  
Author(s):  
J Kempner
Keyword(s):  
Cylindrical Shells ◽  
Circular Cylindrical Shells ◽  
Line Loads

Remarks on Donnell’s Equations

1955 ◽  
Vol 22 (1) ◽  
pp. 117-118
Author(s):  
Joseph Kempner
Keyword(s):  
Differential Equations ◽  
Cylindrical Shells ◽  
Radial Line ◽  
Line Load ◽  
Simply Supported ◽  
Circular Cylindrical Shells ◽  
Line Loads ◽  
Good Agreement

Abstract Flügge’s set of differential equations of equilibrium for circular cylindrical shells is expressed in a form analogous to the Donnell equations. The results of solutions of the two sets of equations for a simply supported cylinder under a centrally applied, uniformly distributed radial line load over a generator segment, as well as under sinusoidally applied line loads, are in very good agreement for the particular geometry investigated.

LONG CIRCULAR-CYLINDRICAL SHELLS SUBJECTED TO CIRCUMFERENTIAL, RADIAL LINE LOADS

AIAA Journal ◽  
1963 ◽  
Vol 1 (5) ◽  
pp. 1223-1224 ◽  
Author(s):  
K. T. SUNDARA RAJA IYENGAR ◽  
C. V. YOGANANDA
Keyword(s):  
Cylindrical Shells ◽  
Radial Line ◽  
Circular Cylindrical Shells ◽  
Line Loads

Buckling of Circular Cylindrical Shells Using a Displacement Function

1974 ◽  
Vol 96 (4) ◽  
pp. 1322-1327
Author(s):  
Shun Cheng ◽  
C. K. Chang
Keyword(s):  
Boundary Conditions ◽  
Axial Compression ◽  
Cylindrical Shells ◽  
External Pressure ◽  
Displacement Function ◽  
Combined Loading ◽  
Trial Solution ◽  
Governing Differential Equation ◽  
Circular Cylindrical Shells ◽  
The Stability

The buckling problem of circular cylindrical shells under axial compression, external pressure, and torsion is investigated using a displacement function φ. A governing differential equation for the stability of thin cylindrical shells under combined loading of axial compression, external pressure, and torsion is derived. A method for the solutions of this equation is also presented. The advantage in using the present equation over the customary three differential equations for displacements is that only one trial solution is needed in solving the buckling problems as shown in the paper. Four possible combinations of boundary conditions for a simply supported edge are treated. The case of a cylinder under axial compression is carried out in detail. For two types of simple supported boundary conditions, SS1 and SS2, the minimum critical axial buckling stress is found to be 43.5 percent of the well-known classical value Eh/R3(1−ν2) against the 50 percent of the classical value presently known.

scholarly journals Vibration of rotating circular cylindrical shells with distributed springs

2021 ◽  
Vol 37 ◽  
pp. 346-358
Author(s):  
Fuchun Yang ◽  
Xiaofeng Jiang ◽  
Fuxin Du
Keyword(s):  
Boundary Conditions ◽  
Galerkin Method ◽  
Shell Theory ◽  
Rotation Speed ◽  
Cylindrical Shells ◽  
Free Vibrations ◽  
Governing Equations ◽  
Natural Response ◽  
Circular Cylindrical Shells ◽  
The Galerkin Method

Abstract Free vibrations of rotating cylindrical shells with distributed springs were studied. Based on the Flügge shell theory, the governing equations of rotating cylindrical shells with distributed springs were derived under typical boundary conditions. Multicomponent modal functions were used to satisfy the distributed springs around the circumference. The natural responses were analyzed using the Galerkin method. The effects of parameters, rotation speed, stiffness, and ratios of thickness/radius and length/radius, on natural response were also examined.

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