Forced Vibration Analysis of Rectangular Membranes with Clamped Edges

In this work the forced vibration analysis of rectangular membranes with clamped edges has been carried out. The analysis has been carried out for the square as well as rectangular membranes of different aspect ratios. During the study, fundamental frequency and its variation has been analysed with regards to dimensions of the membrane, density and tension in the membrane. A computer algorithm has been written to calculate the natural frequencies for square as well as rectangular membranes with different aspect ratios. Furthermore, the computer code calculates the steady forced vibration response of the membrane for any forcing function. In addition to this, the effect of aspect ratio on the natural frequencies of the membrane has also been analysed. For the steady forced vibration response, six different forces (periodic force, impulse force, step force, pulse force, ramp force and blast force) have been analysed. Deflection plots for square as well as rectangular membranes have been obtained for different instants of time. The algorithm developed during the research will help researchers to carry out the forced vibration response analysis of the square as well as rectangular membranes of any aspect ratio and dimensions.