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Journal for Geometry and Graphics 27 (2023), No. 2, 237--247
Copyright Heldermann Verlag 2023

Study on Optimization of Curves that Compose the Reflector of a Regular Reflection Light Shelf and its Application

Ryota Higashino
Department of Architecture, Kobe University, Kobe, Japan

Hirotaka Suzuki
Graduate School of Engineering, Kobe University, Kobe, Japan

Recently, it is considered that it is important to reduce primary energy consumption in buildings. One way to do this is to use daylight. To use daylight as lighting, the authors focused on a light shelf, one of the daylighting devices. This study aimed to clarify the cross-sectional shape of a light shelf that can bring in light evenly into a room. In order to derive a cross-sectional shape with high daylighting performance, we focused on a reflector composed of multiple quadratic curves. A numerical program was constructed to constitute the optimal shape of the light shelf, and the performance of the derived light shelf was verified. Moreover, by applying the optimization method, we confirmed that it is possible to derive a reflective surface shape to achieve an any ceiling surface illuminance distribution.

Keywords: Daylighting, daylighting system, light shelf, regular reflection, optimization.

MSC: 51-08.

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