Title: Research on mathematical model of characteristic curve of surface perception by PVDF array based on Ferguson function

Authors: Zhen Yu; Chen-yang Zhang; Jing-xian Yu

Addresses: Key Laboratory of Metallurgical Equipment and Control Technology, Ministry of Education, Wuhan University of Science and Technology, China; Hubei Key Laboratory of Mechanical Transmission and Manufacturing Engineering, Wuhan University of Science and Technology, Wuhan 430081, China ' Key Laboratory of Metallurgical Equipment and Control Technology, Ministry of Education, Wuhan University of Science and Technology, China; Hubei Key Laboratory of Mechanical Transmission and Manufacturing Engineering, Wuhan University of Science and Technology, Wuhan 430081, China ' Key Laboratory of Metallurgical Equipment and Control Technology, Ministry of Education, Wuhan University of Science and Technology, China; Hubei Key Laboratory of Mechanical Transmission and Manufacturing Engineering, Wuhan University of Science and Technology, Wuhan 430081, China

Abstract: The traditional 3D shape perception and reconstruction requires the use of relatively expensive 3D scanning equipment to obtain the coordinates of discrete feature points of the 3D shape. The reconstruction accuracy is determined by the scanning accuracy of the 3D scanning device, generally, the accuracy is low. In this study, based on the PVDF piezoelectric film sensing array, the 3D topographic feature point coordinate value is perceived and acquired. According to the feature point coordinate value, the feature curve fitting of the 3D shape is obtained, and the slope information of the 3D topography characteristic curve is obtained. The mathematical model of the feature surface of PVDF array surface topography based on Ferguson curve is studied to realise the surface reconstruction of 3D complex topography. Theoretical research shows that three-dimensional complex topographic reconstruction technique based on Ferguson curve for PVDF piezoelectric film array surface topography perception has the advantages of simple principle, easy implementation and high precision of shape reconstruction. It can develop intelligent structure with three-dimensional complex shape perception function.

Keywords: PVDF array; intelligent structure; three dimensional complex topography; morphological perception; Ferguson function.

DOI: 10.1504/IJESMS.2021.114974

International Journal of Engineering Systems Modelling and Simulation, 2021 Vol.12 No.1, pp.17 - 28

Received: 24 Jun 2019
Accepted: 24 Nov 2019
Published online: 13 May 2021 *

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