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System analysis in calculation of cantilever retaining walls
Author(s) -
Dembicki Eugeniusz,
Chi Tran
Publication year - 1989
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1610130603
Subject(s) - cantilever , mathematical optimization , mathematics , set (abstract data type) , stability (learning theory) , pareto principle , space (punctuation) , minimum weight , multi objective optimization , structural engineering , computer science , engineering , combinatorics , machine learning , programming language , operating system
The paper is concerned with the solution and determination of the optimum shape of a retaining wall modelled by the co‐ordinates of a set of points which belongs to a certain permissible space. An optimum design method is formulated as a non‐linear multiobjective optimization problem. The following two objective functions, which are mutually conflicting and non‐commensurable with each other, are considered: (a) to minimize the total weight of the wall, (b) to maximize the structure stability. A set of Pareto optimum solutions is derived numerically by adopting a logical algorithm, and a Pereto optimum solution is obtained by investigating the trade‐off relationships among design objectives.