Proceedings of the 2026 5th International Conference on Engineering Management and Information Science (EMIS 2026)

<Previous Article In Volume
Next Article In Volume>

Effect of Air Resistance and Viscous Resistance on String Vibration

Authors
Zhengting Li1, *
1Arizona College of Technology, Hebei University of Technology, Tianjin, 300401, China
*Corresponding author. Email: 294844708@qq.com
Corresponding Author
Zhengting Li
Available Online 19 April 2026.
DOI
10.2991/978-94-6239-652-4_23How to use a DOI?
Keywords
piano string; vibration equations; string vibration
Abstract

The study of transverse and longitudinal vibration of a piano string is an indispensable part of string theory. This paper presents the influence of air resistance and viscous resistance on string vibration phenomena and equations, and establishes the relationship between them by using the knowledge of air resistance and glutinosity. Through using the derivation method of reference, the vibration differential equation is deduced and analyzed more comprehensively, and numerical simulation, in a computer-driven way, we write code and control the parameters in the equation (such as the velocity area), adjust the control parameters (1) and choose one environment to compare the equation with another environment (2), the influence of external force on string vibration image can be intuitively seen. The results show that the motion image, which is obtained by changing the initial condition of vibration is also different; the existence of resistance makes the vibration change uneven. We find the influence of air and viscous resistance on the frequency and amplitude of string vibration both from derivation and simulation. The results are convincing and lay a foundation for the study of vibration equations in the future.

Copyright
© 2026 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

Download article (PDF)

<Previous Article In Volume
Next Article In Volume>
Volume Title
Proceedings of the 2026 5th International Conference on Engineering Management and Information Science (EMIS 2026)
Series
Advances in Computer Science Research
Publication Date
19 April 2026
ISBN
978-94-6239-652-4
ISSN
2352-538X
DOI
10.2991/978-94-6239-652-4_23How to use a DOI?
Copyright
© 2026 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

Cite this article

risenwbib
TY  - CONF
AU  - Zhengting Li
PY  - 2026
DA  - 2026/04/19
TI  - Effect of Air Resistance and Viscous Resistance on String Vibration
BT  - Proceedings of the  2026 5th International Conference on Engineering Management and Information Science (EMIS 2026)
PB  - Atlantis Press
SP  - 224
EP  - 237
SN  - 2352-538X
UR  - https://doi.org/10.2991/978-94-6239-652-4_23
DO  - 10.2991/978-94-6239-652-4_23
ID  - Li2026
ER  -