Coupled Plate-String Vibrations of a Stiff String Against an Obstacle: Application to Musical Instruments Like Sitar

Author(s):  
Ashok K. Mandal ◽  
P. Wahi
Author(s):  
Steven L. Garrett

Abstract The vibrating string has been employed by nearly every human culture to create musical instruments. Although the musical application has attracted the attention of mathematical and scientific analysts since the time of Pythagoras (570 BC–495 BC), we will study the string primarily because its vibrations are easy to visualize and string vibrations introduce concepts and techniques that will recur throughout our study of the vibration and the acoustics of continua. In this chapter, we will develop continuous mathematical functions of position and time that describe the shape of the entire string. The amplitude of such functions will describe the transverse displacement from equilibrium, y(x, t), at all positions along the string. The importance of boundary conditions at the ends of strings will be emphasized, and techniques to accommodate both ideal and “imperfect” boundary conditions will be introduced. Solutions that result in all parts of the string oscillating at the same frequency which satisfy the boundary conditions are called normal modes, and the calculation of those normal mode frequencies will be a focus of this chapter.


Author(s):  
Tanasha Taylor ◽  
Shana Smith ◽  
David Suh

This research provides a prototype of a computer-generated harp, using physical string vibrations with haptic feedback in an augmented reality environment. The individuals, immersed in an augmented reality environment using a head mounted display, play the virtual harp with the Phantom Omni haptic device receiving realistic interactions from the strings of the harp. Most previous musical instruments research only provides feedback in the form of visual and audio cues, but not haptic cues. The proposed project is designed to provide individuals with all three forms of cues for interacting with a computer-generated harp. This computer-generated harp is modeled as a realistic harp and includes physics for string vibrations to provide the individuals a traditional instrument-like interaction. This prototype will be applied towards interactive musical experiences and development of skills during music therapy for individuals with disabilities.


2017 ◽  
Vol 25 (1) ◽  
pp. 72-98
Author(s):  
Temba T. Rugwiji

The Hebrew Bible depicts that music and dance formed part of worship and reverence of Yahweh in which various musical instruments were played during ancient biblical times. In the modern post-biblical world, music and dance characterise every context of human existence either in moments of love, joy, celebration, victory, sorrow or reverence. In Zimbabwe, music — which is usually accompanied by dance — serves various purposes such as solidarity towards or remonstration against the land reform, despondency against corruption, celebration, giving hope to the sick, worship as in the church or appeasing the dead by those who are culturally-entrenched. Two fundamental questions need to be answered in this article: 1) What was the significance of music and dance in ancient Israel? 2) What is the significance of music and dance in Zimbabwe? In response to the above questions, this essay engages into dialogue the following three contestations. First, texts of music, musical instruments and dance in the Hebrew Bible are discussed in view of their spiritual significance in ancient Israel. Second, this study analyses music and dance from a faith perspective because it appears for the majority of Gospel musicians the biblical text plays a critical role in composing their songs. Third, this article examines music and dance in view of the spirituality which derives from various genres by Zimbabwean musicians in general. In its entirety, this article attempts to show that the Zimbabwean society draws some spirituality from music and dance when devastated by political, cultural or socio-economic crises.


Sign in / Sign up

Export Citation Format

Share Document