An Evaluation of ASME Ellipsoidal Heads

1969 ◽  
Vol 91 (3) ◽  
pp. 636-640 ◽  
Author(s):  
R. R. Gajewski ◽  
R. H. Lance
Keyword(s):  
Linear Programming ◽  
Lower Bound ◽  
Programming Problem ◽  
Lower Bounds ◽  
Limit Analysis ◽  
Digital Computer ◽  
Linear Programming Problem ◽  
Pressure Vessels ◽  
Asme Code ◽  
Bound Theorem

The ASME Code specifications for unfired cylindrical pressure vessels are examined from the viewpoint of the lower bound theorem of limit analysis. The problem is formulated as a linear programming problem and numerically solved using well-established algorithms on a digital computer. It is shown that lower bounds for collapse are less than the ASME Code specifications for such structures.

Review of Lower-Bound Limit Analysis for Pressure Vessel Intersections

1977 ◽  
Vol 99 (3) ◽  
pp. 413-418 ◽  
Author(s):  
A. Biron
Keyword(s):  
Lower Bound ◽  
Lower Bounds ◽  
Limit Analysis ◽  
Pressure Vessel ◽  
General Purpose ◽  
Collapse Load ◽  
Rotationally Symmetric ◽  
Bound Theorem ◽  
Symmetric Structures ◽  
Lower Bound Limit Analysis

On the basis of a study of several recent papers concerned with the lower-bound computation of the collapse load of pressure vessel intersections, a review is made of the satisfaction, or nonsatisfaction, of the requirements of the lower-bound theorem of limit analysis. It is shown that, whereas for rotationally symmetric structures true lower bounds have been obtained, for a nonsymmetric case such as a right cylinder-cylinder intersection it is difficult to avoid so me approximations. If attempts are to be made to develop general purpose limit analysis programs, the consequences of approximations of the type used so far must be evaluated with care if significant results are to be obtained.

Undrained stability of a plane strain heading

1994 ◽  
Vol 31 (3) ◽  
pp. 443-450 ◽  
Author(s):  
S.W. Sloan ◽  
A. Assadi
Keyword(s):  
Linear Programming ◽  
Lower Bound ◽  
Programming Problem ◽  
Plane Strain ◽  
Linear Programming Problem ◽  
Stability Limit ◽  
Collapse Load ◽  
Uniform Shear ◽  
Classical Plasticity ◽  
Rigorous Bounds

This paper examines the undrained stability of a shallow heading under conditions of plane strain loading. The soil is assumed to have a uniform shear strength and self weight. Rigorous bounds on the load needed to support the heading against active failure are derived using two numerical techniques that employ finite elements in conjunction with the limit theorems of classical plasticity. In both of these techniques, the collapse load is found by solving a linear programming problem. The solution to the lower bound linear programming problem defines a statically admissible stress field and a "safe" estimate of the collapse load, whereas the solution to the upper bound linear programming problem defines a kinematically admissible velocity field and an "unsafe" estimate of the collapse load. For the range of heading geometries considered, the upper and lower bound solutions bracket the exact collapse load to within 20% or better. Key words : heading, stability, limit analysis, plane strain.

scholarly journals A comparative study on interval arithmetic operations with intuitionistic fuzzy numbers for solving an intuitionistic fuzzy multi–objective linear programming problem

2017 ◽  
Vol 27 (3) ◽  
pp. 563-573 ◽  
Author(s):  
Rajendran Vidhya ◽  
Rajkumar Irene Hepzibah
Keyword(s):  
Linear Programming ◽  
Programming Problem ◽  
Linear Programming Problem ◽  
Fuzzy Numbers ◽  
Optimization Method ◽  
Arithmetic Operations ◽  
Intuitionistic Fuzzy Numbers ◽  
Multi Objective ◽  
Intuitionistic Fuzzy ◽  
Interval Valued

AbstractIn a real world situation, whenever ambiguity exists in the modeling of intuitionistic fuzzy numbers (IFNs), interval valued intuitionistic fuzzy numbers (IVIFNs) are often used in order to represent a range of IFNs unstable from the most pessimistic evaluation to the most optimistic one. IVIFNs are a construction which helps us to avoid such a prohibitive complexity. This paper is focused on two types of arithmetic operations on interval valued intuitionistic fuzzy numbers (IVIFNs) to solve the interval valued intuitionistic fuzzy multi-objective linear programming problem with pentagonal intuitionistic fuzzy numbers (PIFNs) by assuming differentαandβcut values in a comparative manner. The objective functions involved in the problem are ranked by the ratio ranking method and the problem is solved by the preemptive optimization method. An illustrative example with MATLAB outputs is presented in order to clarify the potential approach.

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