Membrane Vibration modeled with Simscape
Versione 1.0.2 (11,4 MB) da
Stephen Thompson
Physical model of a tensioned membrane.
Mode 1 Mode 4 Mode 6
This submission provides a Simscape model of a vibrating rectangular membrane under tension. The theory for this model is available in the acoustics book by Garrett [1]. The membrane is modeled as a two-dimensional array of square or rectangular connected segments. Each segment is modeled as a lumped mass connected to its four neighbors by damped springs whose spring constant is calculated from the membrane tension.
The files that are include are
membrane.m – creates a membrane .slx model file for parameters specified in the first lines of the file
mem_11by25.slx – a membrane model file created by membrane.m for a membrane that is 11 segments in the y direction and 25 segments in the x direction.
membrane_surf_11by25.m – when run on the output of the .slx file above, this creates surface plots like those shown in the MATLAB File Central listing for this toolbox.
mode_n_rect – animated GIF files showing the nthresonant mode shape
[1] Steven L. Garrett, Understanding Acoustics, Chapter 6, Springer, 2017.
Cita come
Stephen Thompson (2024). Membrane Vibration modeled with Simscape (https://www.mathworks.com/matlabcentral/fileexchange/156717-membrane-vibration-modeled-with-simscape), MATLAB Central File Exchange. Recuperato .
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R2023b
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