Application and practical validation of topology optimization technology for the frame of biaxial tensile testing machin
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INDUSTRIAL APPLICATION PAPER
Application and practical validation of topology optimization technology for the frame of biaxial tensile testing machine Yisheng Zhang 1 & Xiangdong Wu 1 & Bobin Guan 1 & Zhe Zhao 1 & Min Wan 1 Received: 9 June 2019 / Revised: 7 February 2020 / Accepted: 11 February 2020 # Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract Biaxial tensile testing machines are used to improve accuracy of yield loci and constitutive model for sheet materials. The frame of these machines is the main load-bearing structure significantly affecting the machine accuracy. However, the available loading frames are too heavy to be practical for popularization and application. To reduce both the total weight of the frame and install consumption, this study develops a design method of stepwise multi-stage topology optimization based on the solid isotropic microstructures with penalization (SIMP) method. First, the validity of the finite element model during the optimization is verified by experiments. Next, the design method of stepwise multi-stage topology optimization is proposed based on the results of conventional topology optimization and the influence law of key parameters. This method is then applied to the topological optimization design of frames for a biaxial tensile testing machine. Finally, the optimized frame is manufactured, and biaxial tensile tests are conducted on the designed machine. The measurement of frame deformations shows that the frame weight is decreased by 19.5% compared with that of the initial design and that the frame stiffness meets design requirements. These results prove the effectiveness of the proposed method. Keywords Biaxial tensile testing machine . Structural design . Topology optimization . Solid isotropic microstructures with penalization (SIMP)
1 Introduction Yield loci are necessary for studying the constitutive model for sheet materials and improving simulation of sheet metal forming process. Among all the sheet-forming test methods, the biaxial tensile test is the most intuitive and accurate test method for studying the yield loci (Sowerby and Duncan 1971; Kuwabara and Sugawara 2013). In this test, the stressstrain curves of sheet metal are measured using a cruciform test piece fabricated as shown in Fig.1. The biaxial tensile test is mainly carried out on biaxial tensile testing machines. The frame structure of these Responsible editor: Somanath Nagendra Electronic supplementary material The online version of this article (https://doi.org/10.1007/s00158-020-02547-x) contains supplementary material, which is available to authorized users. * Xiangdong Wu [email protected] 1
Sch. Mech. Eng. & Automat, BeiHang University, XueYuan Rd 37, Beijing 100191, China
machines is one of the design challenges in machine development because the frame is subjected to complex loads from driver modules of electric motors or hydraulic systems in multiple directions during biaxial tensile testing. The conventional design of biaxial tensile machine is based on re
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