Enhance the sensitivity of strain-gauge-based force sensors using moving morphable units method

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Enhance the sensitivity of strain-gauge-based force sensors using moving morphable units method Xueyan Hu 1,2 & Ronghao Bao 1 & Weiqiu Chen 1,2,3 Received: 13 January 2020 / Revised: 9 May 2020 / Accepted: 12 May 2020 # Springer-Verlag GmbH Germany, part of Springer Nature 2020

Abstract This paper presents a new automatic optimal design formulation to achieve high sensitivities of the strain-gauge-based force sensors based on the method of moving morphable units (components or voids). We examine our design formulation through several examples, of which the results demonstrate the feasibility and efficiency of the proposed approach. In addition to the explicit boundaries that are finally derived, the current formulation has another superiority that the strain gauge locations can be easily treated as design variables by taking the sensing areas as additional components. Furthermore, the formulation is compatible with the shape optimization such that we can unite topology design and shape design of force sensors into one optimization framework. Keywords Strain-gauge-based force sensor . Topology optimization . Moving morphable units method . Finite element method

1 Introduction With the era of “BIG DATA” coming, the demands for data are increasing rapidly. Various sensors, as fore-end hardware for receiving data, will play an important role in modern society. Such demands not only request receiving different data successfully by using new types of sensors but also claim the high performance of sensors like high sensitivity, high accuracy, high resolution, etc. Force sensors are one of the traditional and wildly used equipment in our life. They are used in various applications Enhance the sensitivity of strain-gauge-based force sensors using moving morphable units method Responsible Editor: Xu Guo Electronic supplementary material The online version of this article (https://doi.org/10.1007/s00158-020-02631-2) contains supplementary material, which is available to authorized users. * Weiqiu Chen [email protected] 1

Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province & Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, People’s Republic of China

2

State Key Lab of CAD & CG, Zhejiang University, Hangzhou 310058, People’s Republic of China

3

Soft Matter Research Center, Zhejiang University, Hangzhou 310027, People’s Republic of China

and situations to acquire the force signals. For example, accurate forces transferred through the joints of a robot are crucial to its proper functioning in the operation or control system. The strain-gauge-based (SGB) force sensors are one typical type of the common piezoresistive force sensors popular in the industry. The sensibility of such sensors is achieved by using the Wheatstone bridge to detect the change in resistance of the strain gauges caused by the average strain variation at the strain-gauge-sticking area (SGSA). A good SGB force sensor should be sensitive enough to the external force. It means that