Simulation of string vibration

Details Simulation of string vibration Simulation of string vibration

2004-01-14

2009-06-16

Jones, Hugh (Department: 2128)

Data processing: structural design, modeling, simulation, and em

Modeling by mathematical expression

Reexamination Certificate

active

07548837

ABSTRACT:
A method of simulating a string using a wave equation which relates movement of the string in time to force acting on the string, wherein the force acting on the string simulates a stream of a fluid medium flowing relative to the string. The simulated string is supported between two supports and is aligned at rest in a first direction between the two supports, a first of which allows movement in a second direction orthogonal to the first direction and a second of which does not allow movement. The string is then caused from rest to vibrate in a plane, which includes the first and second directions, by turbulence in the fluid flow causing the stream of fluid medium to exert a pressure on the string in the second direction. Movement of the string out of alignment with the first direction causes the stream of fluid medium flowing in the first direction to exert a force on the string in the second direction.

REFERENCES:
Turkyilmaz, Y. and Egeland, O., Boundary Control Design for Towed Cables via Backstepping, In Proceedings of the 7th European Control Conference, 2003.
Burgh et al.; The study of parametric excitation in a stretched string; Nonlinear Analysis (Pergamon); pp. 387-400; 2001.
Chin; A numerical model of a towed cable-body system; ANZIAM J. 42 (E) pp. 362-384, 2000 C362.
Kurmyshev; Transverse and longitudinal mode coupling in a free vibrating soft string; Physics Lett. A; pp. 148-160; 2002.
Alberti; Stationary response of an infinite cable to a correlated moving turbulent force field; J. Acous. Soc. Amer.; pp. 1831-1833; 1981.
Markus Sapp, Untersuchungen zur Synthese naturlich erscheinender Klange (Investigations to the synthesis of naturally appearing sounds), ISBN 3-8265-9318-9, Shaker Verlag, 2001 (Abstract translated into English), pp. 1-103.

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