Numerical Tension Adjustment of X-Ray Membrane to Represent Goat Skin Kompang

Colloquium of Advanced Mechanics 2016

Syiddiq, M.^1 ; Siswanto, W.A.^1

Faculty of Mechanical Engineering, Universiti Tun Hussein Onn Malaysia, Johor, Batu Pahat

86400, Malaysia^1

关键词: Circular membranes;    Different sizes;    Future applications;    Initial and boundary conditions;    Membrane material;    Membrane modeling;    Membrane tension;    Polar coordinate;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/165/1/012024/pdf
DOI  :  10.1088/1757-899X/165/1/012024

来源: IOP

【 摘 要 】

This paper presents a numerical membrane model of traditional musical instrument kompang that will be used to find the parameter of membrane tension of x-ray membrane representing the classical goat-skin membrane of kompang. In this study, the experiment towards the kompang is first conducted in an acoustical anechoic enclosure and in parallel a mathematical model of the kompang membrane is developed to simulate the vibration of the kompang membrane in polar coordinate by implementing Fourier-Bessel wave function. The wave equation in polar direction in mode 0,1 is applied to provide the corresponding natural frequencies of the circular membrane. The value of initial and boundary conditions in the function is determined from experiment to allow the correct development of numerical equation. The numerical mathematical model is coded in SMath for the accurate numerical analysis as well as the plotting tool. Two kompang membrane cases with different membrane materials, i.e. goat skin and x-ray film membranes with fixed radius of 0.1 m are used in the experiment. An alternative of kompang's membrane made of x-ray film with the appropriate tension setting can be used to represent the sound of traditional goat-skin kompang. The tension setting of the membrane to resemble the goat-skin is 24N. An effective numerical tool has been used to help kompang maker to set the tension of x-ray membrane. In the future application, any traditional kompang with different size can be replaced by another membrane material if the tension is set to the correct tension value. The numerical tool used is useful and handy to calculate the tension of the alternative membrane material.