Кундрат, Т. М. та Літніцький, С. І. та Пугачов, Є. В. та Зданевич, В. А. (2022) ВПЛИВ КУТА ЗЛОМУ ЛАМАНОЇ РЯДІВ НА ФОРМУ ПОВЕРХНІ ГЛЯДАЧІВ. Вісник Національного університету водного господарства та природокористування (3(99)). с. 14-20.

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Анотація

Розглянуто вплив кута злому першого ряду на поверхню гля- дачів для рядів в плані у вигляді дволанкової ламаної із змінним кутом злому (змінною шириною ряду). Наведено криві залежності кута нахилу прямих очей глядачів до горизонтальної прямої ряду від номера ряду для кутів злому першого ряду 120º, 130º, 140º, 150, 160º та 170º. Показано лінійчату поверхню глядачів для кутів злому: першого ряду – 160º, останнього – 180º. Окремо розглянуто, як змінюється поверхня глядачів, коли ряди в плані стають паралельними (кут злому не змінюється).

Title in English

INFLUENCE OF A BROKEN ROW BREAK ANGLE ON A SHAPE OF THE AUDIENCE SURFACE

English abstract

Work is devoted to the analysis of influence of a break angle of the first row on a surface of the audience (the surface of monocular eyes of the audience) at movie theater (all standard zone of possible placement of seats is considered) with ranks in the plan in the form of a two-unit broken line with a variable angle of a break. The angle of a break of the first row gradually increases to 180º in the last row, that is the last row is straightened and becomes parallel to the flat screen. At such an arrangement of ranks in the plan width of pass becomes a variable (increases in process of removal of seats from an axis of symmetry of the hall) that improves conditions of filling and release of the hall by the audience and reduces time necessary for these processes. Such reception improves conditions of visual perception as the turn of a straight line of a row focuses the viewer's chair closer to the center of the screen. In work the author's Mathcad program for calculation of coordinates of monocular eyes of the audience, allowing to visualize a surface of the audience and to estimate change of its form at change of angles of a break of the first and last ranks is used. For calculation the following parameters are used: height of the focal line Zf = 1.2 m, excess of a beam of sight C0 = 0.15 m, height of eyes of the sitting viewer h = 1.2 m, number of rows N = 29, a chair width a = 0.52 m, screen width She = 27 m. Row depth (d = 0.9 m) was set as length of the perpendicular lowered from a point of intersection of the line of the previous row with axis X on a straight line of the following row. In work the line surface of the audience for break angles is shown: the first row – 160º, the last – 180º, formed by the straight lines of eyes of the audience inclined to the corresponding straight lines of ranks under different angles which depend on a row straight line tilt angle to axis X. And tilt angles of the eyes of the audience of subjects it is more, than a row is farther from the screen. For angles of a break of the first row 120º, 130º, 140º, 150, 160º and 170º curves of dependences of a tilt angle of direct eyes of the audience are brought to horizontal straight lines of ranks from number of a row which show that with increase in an angle of a break of the first row tilt angles decrease, as well as raising of places among. At a task of almost equal angles of a break of the first and last ranks straight lines of ranks become parallel, and tilt angles of direct eyes of the audience to straight lines of ranks almost zero. Thus, in work the nature of influence of an angle of a break of the first row on a form of a surface of the audience for movie theater with ranks in the plan in the form of a two-unit broken line with a variable angle of a break is revealed.

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