A lower-bound limit pressure analysis for the oblique intersection of a flush cylindrical nozzle and the torus of a cylindrical vessel with a torispherical end
Restricted accessResearch articleFirst published online October, 1974
A lower-bound limit pressure analysis for the oblique intersection of a flush cylindrical nozzle and the torus of a cylindrical vessel with a torispherical end
A lower-bound limit analysis is presented for the calculation of the limit pressure for the oblique intersection of a flush cylindrical nozzle and the torus of a cylindrical vessel with a torispherical end. A rotationally asymmetric formulation of stress resultants is specified in assumed plastic regions in terms of an independent set of variables and the limit pressure is computed for a limited number of geometric parameters by a non-linear programming method.
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References
1.
GillS. S.‘The limit pressure for a flush cylindrical nozzle in a spherical pressure vessel’, Int. J. mech. Sci.19646, 105–15.
2.
DinnoK. S.GillS. S.‘The limit analysis of a pressure vessel consisting of the junction of a cylindrical and a spherical shell’, Int. J. mech. Sci.1965, 7, 21–42.
3.
DinnoK. S.GillS. S.‘Limit pressure for a protruding cylindrical nozzle in a spherical pressure vessel’, J. mech. Engng Sci.19657, 259–70.
4.
LindN. C.‘Plastic analysis of radial outlets from spherical vessels’, J. bas. Engng, Trans. Am. Soc. mech. Engrs196486, 105–15.
5.
BironA.HodgeP. G.‘Limit analysis of rotationally symmetric shells, under central boss loadings by a numerical method’, J. appl. Mech. Trans. Am. Soc. mech. Engrs196789, 644–50.
6.
RobinsonM.GillS. S.‘A lower bound to the limit pressure of a flush oblique cylindrical branch in a spherical pressure vessel’, Int. J. mech Sci197214, 579–601.
7.
CloudR. C.RodabaughE. C.‘Approximate analysis of the plastic limit pressures of nozzles in cylindrical shells’, J. Eng. Pwr. Trans. Am. Soc. mech. Engrs196890, 171–6.
8.
CalladineC. R.GoodallI. W.‘Plastic behaviour of thin cylindrical pressure vessels with circular outlets and radial branches’, J. mech. Engng Sci.196911, 351–63.
9.
IlyushinA. A.Plasticity1948 (Gostefehizdat, Moscow) (in Russian); Plasticité1956 (Eyrolles, Paris) (in French).
10.
RobinsonM.‘A comparison of yield surfaces for thin shells’, Int. J. mech. Sci197113, 345–54.
JohnsonD. E.‘Stresses in a spherical shell with a non-radial nozzle’, J. appl. Mech., Trans. Am. Soc. mech. Engrs196789, 299–307.
16.
FiaccoA. V.MccormickG. P.Non-linear programming sequential unconstrained minimization techniques1968 (John Wiley and Sons Inc., New York and Chichester).
17.
ShannoD. F.‘Conditioning of quasi-Newton methods for function minimization’, Maths Comput.197024 (No. 111), 647–56.
18.
SpenceJ.CarlsonW. B.‘A study of nozzles in pressure vessels under pressure fatigue loading’, Proc. Instn mech. Engrs 1967–68 182 (Pt 1), 657–75. Contribution to discussion by CLARE, K. D. 677–8.
