A method of music education for sound absorption and in-phase harmonics synchronization: Using surface coupling theory to couple nanosheets in Musical Instruments

Jia Kuang , Zh. Liu , Möhmat Shocrah

Abstract

This work investigates the application of coupled annular nanoplates in musical instruments, with enhanced sound absorption and precise harmonic synchronization, using an educational framework. In this approach, the surface couple stress theory has been used in order to investigate controllable in-phase and out-of-phase vibrations by using a viscoelastic substrate between the nanoplates, possibly providing a new degree of freedom for affecting the sound quality and acoustic resonance in instrument design. With the consideration of size-dependent effects, including surface stress, the dynamic behavior of nanostructured materials used for musical purposes is investigated. Utilizing the higher-order shear deformation theory, a comprehensive mathematical model is presented, while its vibrational frequencies are estimated applying the numerical method. The results found show the effect of some of the key parameters on vibration control and sound energy absorption in musical instruments. These results should be leveraged to enhance acoustic performance in musical instruments through the application of nanostructured materials. This educational methodology offers a totally new avenue to understand the role of nanotechnology in refining quality in sound and therefore invites innovation in music education through the integration of advanced material science.

Key Words

annular/circular nanoplates; buckling; GDQM; Kerr medium; size effects

Address

Jia Kuang — College of Music, Hengyang Normal University, Hengyang 421001, Hunan, China
Zh. Liu — Department of Engineering, New ideas industrial company in engineering, Malaysia
Möhmat Shocrah — Department of Civil Engineering, ANADO University, Turkey

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