Design requirements for cinema seats
Mar 11,2021
Design requirements for auditorium chairs, theater chairs, row chairs, and cinema chairs. The satisfaction level of cinema chairs primarily depends on the viewing angle and elevation angle b. Viewing angle a is the angle between the viewer's eyes and the top and bottom edges of the screen; the larger a is, the better. Elevation angle b is the angle between the viewer's eyes and the top edge of the screen relative to the horizontal line. If b is too large, the person's head tilts too far back, causing discomfort. Generally, b should not exceed 30°.
Given the cinema screen height h, the top edge height from the ground H, the floor line inclination angle q, the horizontal distances from the first and last rows of seats to the screen as d and D respectively, and the average sitting height of viewers c (distance from eyes to the ground). Known parameters: h=1.8m, H=5m, D=19m, c=1.1m, floor line inclination angle q=10°. What is the optimal location? Find the floor line inclination angle q (generally not exceeding 20°) that maximizes the overall viewer satisfaction. Viewer satisfaction mainly depends on the viewing angle and elevation angle during watching; the larger the viewing angle, the better, and the smaller the elevation angle, the better. The optimal position b is a balance between these two to maximize overall satisfaction. If b>30° is unavoidable, then both viewing angle and elevation angle must be considered in the model. This article establishes weights for viewing and elevation angles separately, sets up an appropriate coordinate system, and then constructs a linear satisfaction function.
Litang Furniture Manufacturing auditorium chairs. Regarding question one, given the floor line inclination angle, find the optimal seat location by converting the problem into maximizing the overall satisfaction function. Use MATLAB software to plot the overall satisfaction graph and then solve it. For question two, imagine all seats as continuous points. Now, overall satisfaction is a bivariate function of x and q. First, integrate over the location interval for x, then calculate the average satisfaction over all positions. Use MATLAB to plot the average satisfaction as a function of q, allowing for intuitive solution. Viewing angle and elevation angle, floor line inclination relative to the horizontal line. D is the horizontal distance from the last row to the screen, d is the horizontal distance from the first row to the screen, h is the screen height, H is the height of the screen's top edge from the ground. Pa is the weight given to a, Pb is the weight given to b.
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