Predicting Sound of Bell using Solidworks
Introduction
The aim of this project is to predict the sound of a bell by using only a picture of its cross section.
Process
The picture of the cross section was imported into Solidworks using the sketch picture tool. One side of the cross section was traced out using the spline tool and it was rotated about the axis passing through the clapper of the bell (thin feature selected). This made a shape of a full hollow bell. Bronze was selected as the material of the bell. Then, a frequency study was done on the bell to get the different resonance frequencies. Then the resonance frequencies were entered into the a MATLAB code (included below) to obtain the sound of the bell.
fs=5000; % Sampling frequency [Hz]
tmax=5; % duration of sound [s]
dt=1/fs; % delta t
t=(0:dt:tmax).'; % Time vector
y= exp(-1.95*t).*(.8*sin(2*pi*16.306*t)+ .7*sin(2*pi*68.462*t) + 0.5*sin(2*pi*114.17*t) + 0.5*sin(2*pi*233.9*t) + 0.5*sin(2*pi*586.67*t)+ 0.5*sin(2*pi*710.39*t)); % Tone to play
sound(y,fs); % Play the tone