The Application of Inertia Relief Method in Ranat and Xylophone

Abstract

* Corresponding author Abstract—The percussion instrument usually involves some kind of striking. There are so many Thai percussion instrument such as the Ranat, the Cymbal ect. The aim of this analysis to study transverse modes and find out the important parameter to get proper sound frequency which are excited in bars that are struck for example the Ranat and xylophone. The theory of Euler- Bournoulli beam was found in textbook and applied for study the vibration of the Xylophone that the solution of governing equation need four supports thus it is impossible to find the natural frequency of the Ranat and xylophone by Euler- Bournoulli beam theory. In this paper uses the inertia relief method by finite element analysis to study the sound frequency of the Ranat and xylophone. The result shows that the frequency from finite element analysis is good enough for the sound analysis of percussion instrument better than Euler-Bournoulli beam theory. The arches bars are major parameter to generate sound frequency. Keywords-sound analysis; finite element; percussion instrument; transverse mode I. INTRODUCTION The human have always struck objects to draw attention or to imbue others and themselves with rhythm. Rhythm is the basic to all forms of music in all cultures and the percussion instrument are often used to support it. The percussion instrument usually involves some kind of striking. There are so many Thai percussion instrument. The percussion instruments can be considered in three classes, the first that make use of bar for example the Ranat and xylophone. The second make use of membranes for example drums and the last make use of plates for example cymbals. The aim of this analysis to study transverse modes which are excited in bars that are struck that is the Ranat and xylophone.