Experimental parametric study on dynamic divergence instability and chaos of circular cylindrical shells conveying airflow

2022 ◽  
Vol 169 ◽  
pp. 108755
Iman Gholami ◽  
Marco Amabili ◽  
Michael P. Païdoussis
1974 ◽  
Vol 96 (4) ◽  
pp. 1322-1327
Shun Cheng ◽  
C. K. Chang

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.

2021 ◽  
Vol 37 ◽  
pp. 346-358
Fuchun Yang ◽  
Xiaofeng Jiang ◽  
Fuxin Du

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.

1991 ◽  
Vol 57 (536) ◽  
pp. 1075-1083
Katsuyoshi SUZUKI ◽  
Hiroshi ARAKAWA ◽  

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