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Geometric modeling of reflected sound waves in the threecentred arch

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Kernytskyy I., Nikitenko O.

Acta Scientiarum Polonorum. Architectura

2018

tom 17

nr 1

Currently, reflecting systems are widely used in heating equipment, solar engineering structures and acoustic structures. Here, constructions based on classical curves do serve in reflectors. The reflection trajectories represent such curves as podera, orthotomic and caustic paths. Research goal to find an analytical description of the threecentred curve, its podera and orthotomics, and to build a reflecting geometric model of the existing this arch. Such curves’ analytical description has been carried out using analytical geometry on the plane. First, we derived podera and orthotomics formulas for a circle, and then for the threecentred arch properly. For the geometric modeling of reflected sound waves in the threecentred arch, we selected the existing arch, this one of the Yusupov Palace Trapeznaja Palata. The subject arch graphic representation has been build in the AutoCAD editor, including the structure of arch properly, its podera, orthotomics and caustic for its threecentred part. Results obtained actually affirmed the proficient acoustic phenomena knowledge appropriate to the ancient architects capable to apply correctly in practice their skills.

Ograniczanie wyników

1 Acta Scientiarum Polonorum. Architectura

1 Kernytskyy I.

1 Nikitenko O.

1 2018

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Geometric modeling of reflected sound waves in the threecentred arch