Application of a numerical method to the calculation of the natural vibrations of compound shells of revolution that are partially filled with a liquid

1977 ◽  
Vol 13 (1) ◽  
pp. 59-62
Author(s):  
�. S. Bogaditsa ◽  
A. D. Brusilovskii ◽  
V. P. Shmakov
Keyword(s):  
Numerical Method ◽  
Shells Of Revolution ◽  
Natural Vibrations

scholarly journals A Numerical Method for the Limit Analysis of General Shells of Revolution : 2nd Report, Lower Bound Method

1978 ◽  
Vol 21 (151) ◽  
pp. 13-19
Author(s):  
Hiroshi NAKANISHI ◽  
Megumu SUZUKI ◽  
Minoru HAMADA
Keyword(s):  
Lower Bound ◽  
Numerical Method ◽  
Limit Analysis ◽  
Shells Of Revolution

scholarly journals Numerical Method for Nonlinear Axisymmetric Bending of Arbitrary Shells of Revolution and Large Deflection Analyses of Corrugated Diaphragm and Bellows

1968 ◽  
Vol 11 (43) ◽  
pp. 24-33 ◽  
Author(s):  
Minoru HAMADA ◽  
Yasuyuki SEGUCHI ◽  
Sadao ITO ◽  
Eiichi KAKU ◽  
Katsuyoshi YAMAKAWA ◽  
...  
Keyword(s):  
Numerical Method ◽  
Large Deflection ◽  
Shells Of Revolution ◽  
Axisymmetric Bending ◽  
Corrugated Diaphragm

Mixed Finite Element for Geometrically Nonlinear Orthotropic Shallow Shells of Revolution

2014 ◽  
Vol 919-921 ◽  
pp. 1299-1302 ◽  
Author(s):  
Leonid U. Stupishin ◽  
Konstantin E. Nikitin
Keyword(s):  
Finite Element ◽  
Numerical Method ◽  
Orthotropic Material ◽  
Mixed Finite Element ◽  
Material Model ◽  
Element Formulation ◽  
Geometrically Nonlinear ◽  
Shells Of Revolution ◽  
Test Task ◽  
Shallow Shells

A numerical method for mixed finite-element formulation shallow shells of revolution is developed. Orthotropic material model is considered. Final equations are derived by the Galerkin’s method. Results of solution of test task are represented. Results precision and convergence are analyzed.

scholarly journals THE WAVE PROCESSES IN THREE-LAYER SHELLS OF ROTATIONWITH TAKING INTO ACCOUNT THE DISCRETE FILLER AT NON-STATIONARY LOADS

2020 ◽  
Author(s):  
Vladimyr Meish ◽  
◽  
Yuliia Meish ◽  
Keyword(s):  
Numerical Method ◽  
Strain State ◽  
Shell Structures ◽  
Sharp Change ◽  
Space Technology ◽  
Shells Of Revolution ◽  
Stress Strain ◽  
Shell Elements ◽  
Stress Strain State ◽  
Explicit Finite Difference

Thin-walled shell structures in the form of plates and shells of various shapes have a high bearing capacity, lightness, and relative ease of manufacture. Three-layer shell elements, which consist of two bearing layers and a filler, which ensures their joint work, are widely used in mechanical engineering, industrial and civil construction, aviation and space technology, shipbuilding. When calculating the strength of three-layer shell structures with a discrete filler under dynamic loads, it becomes necessary to determine the stress-strain state both in the area of a sharp change in the geometry of the structure and at a considerable distance from the heterogeneity. The complexity of the processes that arise in this case necessitates the use of modern numerical methods for solving dynamic problems of the behavior of three-layer shell elements with a discrete filler. In this regard, the determination of the stress-strain state of three-layer shells with a discrete filler under non-stationary loads and the development of an effective numerical method for solving problems of this class is an urgent problem in the mechanics of a deformable solid. On the basis of the theory of threelayered shells with applying the hypotheses for each layer the nonstationary vibrations threelayered shells of revolution with allowance of discrete fillers are investigated. Hamilton-Ostrogradskyy variational principle for dynamical processes is used for deduction of the motion equations. An efficient numerical method for solution of problems on nonstationary behaviour of threelayers shells of revolution with allowance of discrete fillers are used. The wide diapason of geometrical, and physico-mechanical parameters of nonhomohenes threelayered structure are considerated. On the basis of the offered model nonstationary problems of the forced nonlinear vibrations of threelayered shells of revolution of various structure are solved and analysed. The basis of the developed numerical method for the study of nonstationary oscillations is the application of explicit finite-difference schemes to solve the initial differential equations in partial derivatives. The theory is based on the relations of the theory of three-layer shells of revolution taking into account the discreteness of the filler, which are based on the hypotheses of the geometrically nonlinear theory of shells and rods of the Timoshenko type.

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