Toroidal shells under internal pressure in the transition range.

AIAA Journal ◽  
1965 ◽  
Vol 3 (10) ◽  
pp. 1901-1909 ◽  
Author(s):  
JOHN N. ROSSETTOS ◽  
J. LYELL SANDERS
Keyword(s):  
Internal Pressure ◽  
Transition Range ◽  
Toroidal Shells

Toroidal shells under internal pressure in the transition range

1965 ◽  
Author(s):  
J. ROSSETTOS ◽  
J. SANDERS, JR.
Keyword(s):  
Internal Pressure ◽  
Transition Range ◽  
Toroidal Shells

A Finite Strip for the Vibration Analysis of Rotating Toroidal Shell Under Internal Pressure

2018 ◽  
Vol 141 (2) ◽  
Author(s):  
Ivo Senjanović ◽  
Ivan Áatipović ◽  
Neven Alujević ◽  
Damjan Čakmak ◽  
Nikola Vladimir
Keyword(s):  
Internal Pressure ◽  
Cross Sections ◽  
Stiffness Matrix ◽  
Vibration Analysis ◽  
Ritz Method ◽  
Toroidal Shell ◽  
Beam Shape ◽  
Finite Strip ◽  
Finite Strip Method ◽  
Toroidal Shells

In this paper, a finite strip for vibration analysis of rotating toroidal shells subjected to internal pressure is developed. The expressions for strain and kinetic energies are formulated in a previous paper in which vibrations of a toroidal shell with a closed cross section are analyzed using the Rayleigh–Ritz method (RRM) and Fourier series. In this paper, however, the variation of displacements u, v, and w with the meridional coordinate is modeled through a discretization with a number of finite strips. The variation of the displacements with the circumferential coordinate is taken into account exactly by using simple sine and cosine functions of the circumferential coordinate. A unique argument nφ+ω t is used in order to be able to capture traveling modes due to the shell rotation. The finite strip properties, i.e., the stiffness matrix, the geometric stiffness matrix, and the mass matrices, are defined by employing bar and beam shape functions, and by minimizing the strain and kinetic energies. In order to improve the convergence of the results, also a strip of a higher-order is developed. The application of the finite strip method is illustrated in cases of toroidal shells with closed and open cross sections. The obtained results are compared with those determined by the RRM and the finite element method (FEM).

scholarly journals STRESS AND DEFORMATIONS IN TOROIDAL SHELLS WITH ELLIPTICAL TRANSVERSAL SECTION

2019 ◽  
Vol 25 (4) ◽  
pp. 19-28
Author(s):  
RADU IATAN ◽  
GHEORGHIŢA TOMESCU ◽  
ION DURBACĂ
Keyword(s):  
Internal Pressure ◽  
Cross Section ◽  
Working Environment ◽  
Elastic State ◽  
Shell Material ◽  
Elliptical Cross ◽  
Transversal Section ◽  
Stress And Deformation ◽  
External Loads ◽  
Toroidal Shells

The article approaches the analysis of stress and deformation states; in thetoroidal shell with the elliptical cross section with two specific positions, relative to the axisof symmetry. The internal pressure of a working environment as well as the effect of itstemperature are considered external loads. The two effects may overlap taking into accountthe elastic state of the shell material.

On Particular Integrals for Toroidal Shells Subjected to Uniform Internal Pressure

1958 ◽  
Vol 25 (3) ◽  
pp. 412-413
Author(s):  
G. D. Galletly
Keyword(s):  
Internal Pressure ◽  
Toroidal Shells

Torispherical Shells—A Caution to Designers

1959 ◽  
Vol 81 (1) ◽  
pp. 51-62 ◽  
Author(s):  
G. D. Galletly
Keyword(s):  
Internal Pressure ◽  
Limit Analysis ◽  
Pressure Vessel ◽  
Large Deformations ◽  
Pressure Vessels ◽  
Elastic Stresses ◽  
Proof Testing ◽  
Asme Code ◽  
Particular Solution ◽  
Toroidal Shells

It has recently become apparent, through a rigorous stress analysis of a specific case that designing torispherical shells by the current edition of the ASME Code on Unfired Pressure Vessels can lead to failure during proof-testing of the vessel. The purpose of the present paper is to show in what respects the Code fails to give accurate results. As an illustrative example, a hypothetical pressure vessel with a torispherical head having a diameter-thickness ratio of 440 was selected. The supports of the vessel were considered to be either on the main cylinder or around the torus. The vessel was subjected to internal pressure and the elastic stresses in it were determined rigorously and by the Code. A comparison of the two revealed that the Code predicted stresses in the head which were less than one half of those actually occurring. Furthermore, the Code gave no indication of the presence of high compressive circumferential direct stresses which exceeded 30,000 psi for practically the entire torus. If the head had been fabricated using a steel with a yield point of 30,000 psi, then a limit analysis shows that it would have failed or undergone large deformations, whereas the Code would have predicted that it was safe. The Code’s rules for torispherical heads are thus in need of revision for certain geometries. The implications of the foregoing results are currently being studied by the ASME; in the interim, however, designers should exercise care in applying the Code to torispherical shells. It is also shown in the paper that the use of the membrane state as a particular solution of the differential equations is not a good approximation for toroidal shells of the type considered.

Work of exit and the internal pressure in superconductors created by electrons

2017 ◽  
Vol 24 (2) ◽  
pp. 005-220
Author(s):  
V.F. Khirnyi ◽  
Keyword(s):  
Internal Pressure

Dependence of Internal Pressure-rise due to Arc on Current Waveform and Ignition Position

2011 ◽  
Vol 131 (7) ◽  
pp. 574-583 ◽  
Author(s):  
Shin-ichi Tanaka ◽  
Tsukasa Miyagi ◽  
Mikimasa Iwata ◽  
Tadashi Amakawa
Keyword(s):  
Internal Pressure ◽  
Pressure Rise ◽  
Current Waveform
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