Premium
Seismic zoning for initial‐ and total‐cost minimization
Author(s) -
GarcíaPérez Jaime
Publication year - 2000
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/(sici)1096-9845(200006)29:6<847::aid-eqe942>3.0.co;2-j
Subject(s) - zoning , minification , dimension (graph theory) , total cost , mathematical optimization , value (mathematics) , work (physics) , mathematics , computer science , engineering , statistics , civil engineering , economics , combinatorics , mechanical engineering , microeconomics
We consider two design criteria to study seismic zoning. In the first, codes require that structures be designed for some specified values. Zoning is then optimal when it minimizes the expected present value of the initial costs of all structures to be built in the region being zoned. In the second criterion, it is designed so that the present value of the total cost is minimized, including initial and maintenance costs as well as losses due to damage and failure. We will call these criteria zoning for the initial ‐ and total ‐ cost minimization , respectively. It is shown that under certain conditions, the boundaries coincide with isoparametric curves and the problem may be solved in one dimension. We also deal with problems not reducible to a single dimension. Different methods are proposed to solve the various kinds of problems. The work ends with some illustrative examples. Copyright © 2000 John Wiley & Sons, Ltd.