Study on the optimum design using symbolic manipulation system

Tomoyuki Miyashita, Hiroshi Yamakawa

Research output: Contribution to journalArticle

Abstract

In conventional optimum design process symbolic formulation of mathematical optimization problem usually must be done by the designers before numerical computation. And these pre-process tasks are sometimes tremendously hard and time consuming for the designers. In this paper, we will show a simplification of these pre-process tasks with an aid of symbolic manipulation systems which have been studied in field of Artificial Intelligence. In almost existent symbolic manipulation systems, their main purposes being stressed on verifying the expression, the computer programs in the systems could not obtain any information directly from the operator during the excuting of the program. In this study, to reduce this disadvantage we use menu system as interactive computer system to define and decide the objective function and constraints freely. And, we applied a symbolic manupulation system to a formulation of the objective function and the constraints as well as to structural analysis by Energy method. Consideration have been given to the obtained optimum designs and the effectiveness was confirmed.

Original languageEnglish
Pages (from-to)2959-2964
Number of pages6
JournalNippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Volume57
Issue number541
Publication statusPublished - 1991 Sep
Externally publishedYes

Fingerprint

Interactive computer systems
Structural analysis
Artificial intelligence
Computer program listings
Optimum design

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

@article{f3487bb309c1481f9efb4e94aeb8f82e,
title = "Study on the optimum design using symbolic manipulation system",
abstract = "In conventional optimum design process symbolic formulation of mathematical optimization problem usually must be done by the designers before numerical computation. And these pre-process tasks are sometimes tremendously hard and time consuming for the designers. In this paper, we will show a simplification of these pre-process tasks with an aid of symbolic manipulation systems which have been studied in field of Artificial Intelligence. In almost existent symbolic manipulation systems, their main purposes being stressed on verifying the expression, the computer programs in the systems could not obtain any information directly from the operator during the excuting of the program. In this study, to reduce this disadvantage we use menu system as interactive computer system to define and decide the objective function and constraints freely. And, we applied a symbolic manupulation system to a formulation of the objective function and the constraints as well as to structural analysis by Energy method. Consideration have been given to the obtained optimum designs and the effectiveness was confirmed.",
author = "Tomoyuki Miyashita and Hiroshi Yamakawa",
year = "1991",
month = "9",
language = "English",
volume = "57",
pages = "2959--2964",
journal = "Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C",
issn = "0387-5024",
publisher = "Japan Society of Mechanical Engineers",
number = "541",

}

TY - JOUR

T1 - Study on the optimum design using symbolic manipulation system

AU - Miyashita, Tomoyuki

AU - Yamakawa, Hiroshi

PY - 1991/9

Y1 - 1991/9

N2 - In conventional optimum design process symbolic formulation of mathematical optimization problem usually must be done by the designers before numerical computation. And these pre-process tasks are sometimes tremendously hard and time consuming for the designers. In this paper, we will show a simplification of these pre-process tasks with an aid of symbolic manipulation systems which have been studied in field of Artificial Intelligence. In almost existent symbolic manipulation systems, their main purposes being stressed on verifying the expression, the computer programs in the systems could not obtain any information directly from the operator during the excuting of the program. In this study, to reduce this disadvantage we use menu system as interactive computer system to define and decide the objective function and constraints freely. And, we applied a symbolic manupulation system to a formulation of the objective function and the constraints as well as to structural analysis by Energy method. Consideration have been given to the obtained optimum designs and the effectiveness was confirmed.

AB - In conventional optimum design process symbolic formulation of mathematical optimization problem usually must be done by the designers before numerical computation. And these pre-process tasks are sometimes tremendously hard and time consuming for the designers. In this paper, we will show a simplification of these pre-process tasks with an aid of symbolic manipulation systems which have been studied in field of Artificial Intelligence. In almost existent symbolic manipulation systems, their main purposes being stressed on verifying the expression, the computer programs in the systems could not obtain any information directly from the operator during the excuting of the program. In this study, to reduce this disadvantage we use menu system as interactive computer system to define and decide the objective function and constraints freely. And, we applied a symbolic manupulation system to a formulation of the objective function and the constraints as well as to structural analysis by Energy method. Consideration have been given to the obtained optimum designs and the effectiveness was confirmed.

UR - http://www.scopus.com/inward/record.url?scp=0026225882&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026225882&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0026225882

VL - 57

SP - 2959

EP - 2964

JO - Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

JF - Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

SN - 0387-5024

IS - 541

ER -