Numerical solution of problems on the deformation of open flexible noncircular cylindrical shells of variable stiffness

1984 ◽  
Vol 20 (11) ◽  
pp. 1052-1057
Author(s):  
N. N. Kryukov
Keyword(s):  
Numerical Solution ◽  
Cylindrical Shells ◽  
Variable Stiffness

Numerical solution of problems of the deformation of flexible cylindrical panels of variable stiffness

1984 ◽  
Vol 20 (11) ◽  
pp. 1047-1052
Author(s):  
Ya. M. Grigorenko ◽  
G. K. Sudavtsova ◽  
O. V. Tumashova
Keyword(s):  
Numerical Solution ◽  
Variable Stiffness ◽  
Cylindrical Panels

scholarly journals Numerical Solution of the Boundary Value Problems Arising in Magnetic Fields and Cylindrical Shells

Mathematics ◽  
2019 ◽  
Vol 7 (6) ◽  
pp. 508 ◽  
Author(s):  
Aasma Khalid ◽  
Muhammad Nawaz Naeem ◽  
Zafar Ullah ◽  
Abdul Ghaffar ◽  
Dumitru Baleanu ◽  
...  
Keyword(s):  
Magnetic Fields ◽  
Numerical Solution ◽  
Applied Mathematics ◽  
Cylindrical Shells ◽  
Linear Equations ◽  
Beam Theory ◽  
Applied Physics ◽  
Approximation Solution ◽  
B Splines ◽  
Magnetic Stability

This paper is devoted to the study of the Cubic B-splines to find the numerical solution of linear and non-linear 8th order BVPs that arises in the study of astrophysics, magnetic fields, astronomy, beam theory, cylindrical shells, hydrodynamics and hydro-magnetic stability, engineering, applied physics, fluid dynamics, and applied mathematics. The recommended method transforms the boundary problem to a system of linear equations. The algorithm we are going to develop in this paper is not only simply the approximation solution of the 8th order BVPs using Cubic-B spline but it also describes the estimated derivatives of 1st order to 8th order of the analytic solution. The strategy is effectively applied to numerical examples and the outcomes are compared with the existing results. The method proposed in this paper provides better approximations to the exact solution.

Stability of cylindrical shells reinforced by ribs of variable stiffness

1988 ◽  
Vol 24 (10) ◽  
pp. 985-989 ◽  
Author(s):  
V. V. Gusev ◽  
V. V. Kostyrko ◽  
V. L. Krasovskii ◽  
V. I. Latukha
Keyword(s):  
Cylindrical Shells ◽  
Variable Stiffness

Stress and Displacement Analysis of a Shell Intersection

1970 ◽  
Vol 92 (2) ◽  
pp. 303-308 ◽  
Author(s):  
K. C. Pan ◽  
R. E. Beckett
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Internal Pressure ◽  
Numerical Solution ◽  
Numerical Computation ◽  
Cylindrical Shells ◽  
Numerical Results ◽  
Radius Ratio ◽  
Displacement Analysis

The problem of two normally intersecting cylindrical shells subjected to internal pressure is considered. The differential equations used for the shells are solved subject to the boundary conditions imposed along the intersection between the two cylinders. Details of a procedure for obtaining a numerical solution are given. Numerical results for a radius ratio of 1:2 are presented. Problems encountered in the numerical computation are discussed and the results of the analysis are compared with experiment.

Linear modes of vibration of cylindrical shells in composite laminates reinforced by curvilinear fibres

2016 ◽  
Vol 22 (20) ◽  
pp. 4141-4158 ◽  
Author(s):  
Pedro Ribeiro
Keyword(s):  
Composite Laminates ◽  
Cylindrical Shells ◽  
Variable Stiffness ◽  
Mode Shapes ◽  
Natural Mode ◽  
Published Data ◽  
Modes Of Vibration ◽  
Parametric Studies ◽  
Element Type ◽  
Variable Stiffness Composite Laminates

Modes of vibration of thin cylindrical shells made up of layers with curvilinear fibres (variable stiffness composite laminates (VSCL) shells) are investigated in the linear regime. A p-version finite element type formulation is developed for that purpose; in the absence of data on vibrations of cylindrical VSCL shells, the formulation is verified by comparisons with published data on laminated shells reinforced by straight fibres and on VSCL plates. Parametric studies are performed, in order to investigate how curvilinear fibre paths can influence the modes of vibration. It is found that curvilinear fibre paths can have a very large effect, larger than on plates, on the natural frequencies and natural mode shapes of vibration of cylindrical shells. Factors that strongly influence the modes of vibration of VSCL shells are found; these include the fibre orientation at boundaries and in relation to principal normal sections.

Sign in / Sign up

Export Citation Format

Share Document