Proceedings of the
9th International Conference of Asian Society for Precision Engineering and Nanotechnology (ASPEN2022)
15 – 18 November 2022, Singapore

Mathematical Filtering of TPMS Structure for Enhanced Flow Characteristics

Seo-Hyeon Oh, Eunji Jeon and Keun Parka

Department of Mechanical Engineering, Seoul National University of Science and Technology, 232 Gongneung St., Seoul, Korea


TPMS (triply periodic minimum surface) refers to a periodic surface that extends infinitely through three independent axes, represented by trigonometric functions and with an zero average curvature. Recently, additive manufacturing studies have shown increased interest in TPMS due to its self-supporting characteristics and the infinite series of periodic surfaces that are possible when using TPMS. In earlier work, a functionally graded type of TPMS that involves changing the size of the unit cell or the solid volume of the TPMS or mixing TPMS cell structures was suggested. The present study suggests an explicit filtering method for the design of functional TPMS in which functionally graded TPMS outcomes can be designed without changing the basic TPMS structures. A local explicit filtering method using a non-linear sigmoid function creates a sign distance field in three-dimensional space and enables the design of the functional TPMS through arithmetic calculations with the sign distance field of the TPMS. The sigmoid function used with explicit filtering method has two independent parameters and enables the user to create different sign distance fields by changing each of these parameters. The design of the functional TPMS was confirmed by applying the explicit filtering method to a Gyroid, a TPMS structure. To compare the pressure drop of the TPMS fluid channel when applying the explicit filtering method, functional TPMS flow channels and the original flow channel without the explicit filtering method were manufactured by additive manufacturing and compared in experiments.

Keywords: TPMS, Sign Distance Field, Explicit Filtering, Flow Characteristic, Additive Manufacturing.

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