程耿东

个人信息Personal Information

教授

博士生导师

硕士生导师

性别:男

毕业院校:丹麦技术大学

学位:博士

所在单位:力学与航空航天学院

电子邮箱:chenggd@dlut.edu.cn

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Optimal bounding of curves by continuous piecewise linear functions

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论文类型:期刊论文

发表时间:1993-01-01

发表刊物:Engineering Optimization

收录刊物:Scopus

卷号:21

期号:4

页面范围:307-317

ISSN号:0305215X

摘要:This paper presents a numerical method to solve a class of optimization problems which is defined as follows. Bound a design curve (which may be dependent on some system parameters) from above by a continuous piecewise linear function of a given number of segments such that the area under the function has a minimum value. The decision variables include the system parameters and the parameters that describe the piecewise linear function. For illustrative purposes, the numerical method is applied to two optimal design problems of linear segmented beams. In the case of a convex design curve, a simpler geometry-based algorithm is presented for solution. ? 1993, Taylor & Francis Group, LLC. All rights reserved.