Dynamics of Multiply Expansion Bellows With Elastically Restrained Ends

Author(s):  
C. Kameswara Rao ◽  
M. Radhakrishna

The paper presents study of the dynamic aspects of the multiply bellows with elastically restrained ends and under rotatory inertia. The influence of rotational restraint and internal pressure loading on dynamic response of such bellows configuration has been attempted here. An attempt has been made here to establish relations that are simple and compatible in computing the frequency of bellows. The “Rayleigh Quotient”, method is used for this purpose. The coupled responses obtained are compared with exact analysis for multiply configuration. Two cases are considered — bellows having same material and different materials for plies.

2001 ◽  
Vol 36 (4) ◽  
pp. 373-390 ◽  
Author(s):  
S. J Hardy ◽  
M. K Pipelzadeh ◽  
A. R Gowhari-Anaraki

This paper discusses the behaviour of hollow tubes with axisymmetric internal projections subjected to combined axial and internal pressure loading. Predictions from an extensive elastic and elastic-plastic finite element analysis are presented for a typical geometry and a range of loading combinations, using a simplified bilinear elastic-perfectly plastic material model. The axial loading case, previously analysed, is extended to cover the additional effect of internal pressure. All the predicted stress and strain data are found to depend on the applied loading conditions. The results are normalized with respect to material properties and can therefore be applied to geometrically similar components made from other materials, which can be represented by the same material models.


1981 ◽  
Vol 103 (1) ◽  
pp. 107-111
Author(s):  
D. P. Updike

Elastic stress analysis of a right angle tee branch pipe connection of two pipes of identical diameter and thickness connected through 45-deg chamfer corner sections is developed for internal pressure loading. Stresses in the crotch portion of the vessel are determined. These results are presented in the form of a table of factors useful for rapid calculation of approximate values of the peak stresses. The existence of a structurally optimum size of chamfer is demonstrated.


1988 ◽  
Vol 110 (3) ◽  
pp. 282-286
Author(s):  
V. Birman

The influence of shear deformation and rotatory inertia on dynamic response of elastic rectangular plates subject to in-plane loads increasing with time is discussed using Mindlin’s plate theory. The qualitative effect of those factors on transverse displacements is estimated. It is shown that this effect becomes essential only if the plate is thick and the number of half-waves along the plate axes in the deformation mode is large.


Author(s):  
A. Vaziri ◽  
H. Nayeb-Hashemi ◽  
H. E. Estekanchi

Sub-surface cracks in pipelines with internal pressure may severely affect their dynamic response. The extreme cases of these cracks are when these cracks go through the thickness of the pipes. Dynamic responses of cracked and un-cracked pipes with fixed ends and under various internal pressures were evaluated experimentally and theoretically. In the experimental part, the effects of pipe internal pressure on the resonant frequencies and damping of the pipe were evaluated. In the theoretical part, finite element analyses were performed to find dynamic response of pipes with various crack length and orientation respect to the axis of the pipe. The experimental results showed resonant frequencies of the pipe are little sensitive to the pipe internal pressure. Similar results were obtained from the theoretical investigations. An axial crack had little effect on the pipe resonant frequencies. In contrast, cracks oriented at an angle to the axis of the pipe had a pronounced effect on some of the resonant frequencies of the pipe. This depended on the crack location in a particular mode shapes. For frequencies where the nodal point of the mode shape was located on the crack region, the frequencies were not significantly affected by the presence of the crack in the pipe. Furthermore, it was observed that the pipe internal pressure had little effect on the resonant frequencies of the cracked pipes.


2011 ◽  
Vol 328-330 ◽  
pp. 1528-1532 ◽  
Author(s):  
Lei Li ◽  
Zhao Xi Shen ◽  
Peng Wang

The tendency for coiled tubing to grow in diameter and thin in wall under a combination loading of internal pressure and cyclic bending. This can occur in spite of the fact that nominal stresses due to internal pressure loading are well within elastic limits in both hoop and radial directions. The deformation mechanisms are described. Fatigue tests of 10 coiled tubing specimens are finished. The results show that the trends in coiled tubing deformation behavior are according with the context of theory.


2005 ◽  
Vol 127 (1) ◽  
pp. 61-69 ◽  
Author(s):  
Z. F. Sang ◽  
Y. J. Lin ◽  
L. P. Xue ◽  
G. E. O. Widera

The purpose of this paper is to provide research results for a cylindrical vessel—30 deg lateral intersection with diameter ratio d/D⩾0.5 under increasing internal pressure loading. The results include those from tests as well as from an inelastic stress analysis. The experimentally determined limit load is compared with that from the finite element analysis. The stress concentration factor, the spread of the plastic area, and the behavior of the deformation are provided. Also, a burst test of the model vessel is carried out to provide some data to justify the existing design method and forms a basis for developing an advanced design guideline for cylindrical vessel—lateral intersection under internal pressure loading.


2020 ◽  
Vol 15 (55) ◽  
pp. 345-359
Author(s):  
Nourddine Hammadi ◽  
Moahmed Mokhtari ◽  
Habib Benzaama ◽  
Kouider Madani ◽  
Abdelkader Brakna ◽  
...  

The pipes, during their service, are subjected to accumulated loads such as internal pressure and that of the soil. The latter considerably accelerate their damage. In this work, the bending moment stress of API 5L X70 category steel elbows under thermo-mechanical behavior and in the presence of pressure were studied. We used FEM (finite element method) through the numerical calculation code ABAQUS and the XFEM technique for structural damage while using solid elements as a structure. Our objective is to evaluate the response and resistance capacity of the steel elbow by its location in the tube–elbow-tube system under a mixed loading of pressure and moment for all scenarios. It is based on a single standardized dimensioning of the elbow (diameter and thickness). The effect of several parameters has been studied such as the type of loading and the pressure levels, which are clearly conditioned by the level of damage. Numerical damage results are presented by moment-rotation curves. They illustrate the variation in damage as a function of these effects which act simultaneously.


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