Stationary and non-stationary responses of a reinforced cylindrical shell near parametric resonance

1973 ◽  
Vol 8 (6) ◽  
pp. 565-573 ◽  
Author(s):  
O.E. Adams ◽  
R.M. Evan-Iwanowski
1991 ◽  
Vol 113 (4) ◽  
pp. 511-516 ◽  
Author(s):  
M. Takayanagi

A procedure for analyzing parametric resonance of liquid storage axisymmetric shells is proposed that is an extension of the procedure presented at PVP-89 for parametric resonance of empty axisymmetric shells with lumped weights. Free vibration modes of axisymmetric shells containing liquid are calculated considering the effect of initial stress due to static liquid pressure by using a conical shell finite element. The calculated free vibration modes are used to expand the free vibration modes of the axisymmetric shell with lumped weights and internal liquid. A type of Mathieu equation is derived considering the effects of the translational motion of the attached weight in the radial direction or the effects of the beam-type motion of the shell without lumped weight. The harmonic balance method is used to obtain the parametric resonance regions. Principal resonance of a circular cylindrical shell with an attached weight and combination resonance of a liquid storage circular cylindrical shell without attached weights are analyzed. Analytical results show good agreement with experimental results.


1976 ◽  
Vol 12 (2) ◽  
pp. 198-200
Author(s):  
N. P. Semenyuk ◽  
V. A. Polevoi ◽  
D. V. Babich

2017 ◽  
Vol 53 (2) ◽  
pp. 173-180 ◽  
Author(s):  
P. Z. Lugovoi ◽  
V. N. Sirenko ◽  
Yu. V. Skosarenko ◽  
T. Ya. Batutina

1956 ◽  
Vol 23 (1) ◽  
pp. 73-79
Author(s):  
P. G. Hodge

Abstract A reinforced cylindrical shell which is loaded with a uniform excess external radial pressure can support a load considerably greater than the elastic limit. While several recent investigations have been concerned with finding the collapse load of the shell, no attention has been paid to the corresponding deformations. Although rigid-plastic theory is sufficient to determine the collapse load, the more complex elastic-plastic theory must be used in investigating the displacements. In the present paper the elastic-plastic problem is stated for an ideal sandwich shell, and the stresses and deformations are computed for a particular example. Since the computations are found to be quite laborious, an approximate technique, applicable to all shells, is developed. The paper closes with some comments on the relation between the theoretical results and the behavior to be expected in real shells.


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