TY - JOUR

T1 - How to Compute the Information Content of 3-FR, 3-DP Decoupled Designs with Uniform Probability Density Functions for Their FRs

AU - Fradinho, João

AU - Cavique, Miguel

AU - Gabriel-Santos, António

AU - Mourão, António

AU - Gonçalves-Coelho, António

PY - 2017/10/9

Y1 - 2017/10/9

N2 - The computation of the information content of decoupled designs implies the use of conditional probability, because the existing design parameters must be adjusted in a certain order, as to fulfil all the existing functional requirements at the first trial. Nevertheless, the computation of the information content is hard to perform when the system range of the functional requirements is denoted by probability density functions. In their works, Suh and Park proposed a graphical method to compute the information content of 2-FR, 2-DP decoupled designs when the probability density functions of the FRs are uniform. This paper introduces an extension to the Suh and Park's previous findings. It presents a method that uses analytical and descriptive geometry techniques to compute the information content of 3-FR, 3-DP decoupled designs with uniform probability density distributions of their FRs, and an illustrative example is presented as well.

AB - The computation of the information content of decoupled designs implies the use of conditional probability, because the existing design parameters must be adjusted in a certain order, as to fulfil all the existing functional requirements at the first trial. Nevertheless, the computation of the information content is hard to perform when the system range of the functional requirements is denoted by probability density functions. In their works, Suh and Park proposed a graphical method to compute the information content of 2-FR, 2-DP decoupled designs when the probability density functions of the FRs are uniform. This paper introduces an extension to the Suh and Park's previous findings. It presents a method that uses analytical and descriptive geometry techniques to compute the information content of 3-FR, 3-DP decoupled designs with uniform probability density distributions of their FRs, and an illustrative example is presented as well.

KW - Computational geometry

KW - Large scale systems

KW - Probability

KW - Probability distributions

UR - http://www.scopus.com/inward/record.url?scp=85031662564&partnerID=8YFLogxK

U2 - 10.1051/matecconf/201712701004

DO - 10.1051/matecconf/201712701004

M3 - Article

AN - SCOPUS:85031662564

SN - 2101-6275

VL - 127

JO - MATEC Web of Conferences

JF - MATEC Web of Conferences

M1 - 01004

T2 - 11th International Conference on Axiomatic Design, ICAD 2017

Y2 - 13 September 2017 through 15 September 2017

ER -