<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>After a lot of literature reading and practical research, the paper uses the parametric modelling method of curve simulation characteristic line to establish the mathematical model of the furniture product leg shape. This article first uses the surface construction method to analyse the composition of the leg size of the industrialised production and manufacture of furniture products, and makes the solid modelling according to the construction method of non-uniform rational spline mathematical curve and surface simulation. At the same time, the parameter function of furniture leg type is set on SolidWorks, and the research results obtained in the paper are found by simulation, which opens up a new research path for the application of mathematical curve model in furniture design.</p>
</abstract>

After a lot of literature reading and practical research, the paper uses the parametric modelling method of curve simulation characteristic line to establish the mathematical model of the furniture product leg shape. This article first uses the surface construction method to analyse the composition of the leg size of the industrialised production and manufacture of furniture products, and makes the solid modelling according to the construction method of non-uniform rational spline mathematical curve and surface simulation. At the same time, the parameter function of furniture leg type is set on SolidWorks, and the research results obtained in the paper are found by simulation, which opens up a new research path for the application of mathematical curve model in furniture design.

The art design of industrialised manufacturing furniture products based on the simulation of mathematical curves

College of Nuclear Technology and Automation Engineering

Department of Interior Design, Faculty of Architecture and Interior Design

Department of Accounting and Finance, Faculty of Administrative Sciences

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

After a lot of literature reading and practical research, the paper uses the parametric modelling method of curve simulation characteristic line to establish...

Size	Name	Size relationship
Size	Name	Flat leg (m)	Oblique leg (m)
u	Tip width	1/15–1/20
b	Outer leg width	0.5–1.0
t	The angle of inclination of the foot	0.15–0.65
d	Inner crotch width	0.1–0.8
h0	Foot height	0.9–1.5	0.9–1.1
h1	Inner crotch height	1.1–1.5	1.1a
h2	Tip height	2.0–5.0
h3	Foot length	0.7–1.5	0.23

The art design of industrialised manufacturing furniture products based on the simulation of mathematical curves

Published Online: Sep 24, 2021

Page range: 301 - 312

Received: Mar 26, 2021

Accepted: May 29, 2021

DOI: https://doi.org/10.2478/amns.2021.2.00031

Keywords
Non-Uniform Rational B-Splines furniture product leg shape, mathematical curve simulation, industrialised manufacturing, computer-aided geometric design

© 2021 Yue Qin et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

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Furniture leg size relationship.

The art design of industrialised manufacturing furniture products based on the simulation of mathematical curves

Published Online: Sep 24, 2021

Page range: 301 - 312

Received: Mar 26, 2021

Accepted: May 29, 2021

DOI: https://doi.org/10.2478/amns.2021.2.00031

KeywordsNon-Uniform Rational B-Splines furniture product leg shape, mathematical curve simulation, industrialised manufacturing, computer-aided geometric design

© 2021 Yue Qin et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Fig. 5

Fig. 6

Fig. 7

Fig. 8

Fig. 9

Fig. 10

Fig. 11

Fig. 12

Furniture leg size relationship.

Keywords
Non-Uniform Rational B-Splines furniture product leg shape, mathematical curve simulation, industrialised manufacturing, computer-aided geometric design