Abstract
The paper presents a method of the evaluation of the shape of bowed string oscillations. The method employs the analogy between the bowed string and the electrical, two-terminal oscillator. The velocity-dependent friction force between string and bow, investigated experimentally many years ago, was applied as a stimulating function of the oscillator. The evaluated shapes and amplitudes are in good agreement with experimental results.References
[1] G. BUDZYŃSKI, Energy method of self-oscillations non-linear analysis [in Polish] Zeszyty Naukowe Politechniki Gdańskiej, Elektronika 33, 20-27 (1974).
[2] G. CANTRAINE, Essai de détermination des oscillations d’une corde de violon par voie de caleul numérique, Bull. Se. de 1’Assoc. des Ing. Electr. Montefiore, Litége, no. 11-12, 972 (1963).
[3] E. CHARRON, Théorie de Uarchet, Gauthier-Villars, Paris 1916, 1-93.
[4] Ph. le CORBEILLER, Hleclro-acoustique, Chiron, Paris 1934, 61-64.
[5] Ph. le CORBEILLER, Two-stroke oscillators, IRE Trans. on Circuit Theory, 40, 12, 387-397 (1960).
[2] G. CANTRAINE, Essai de détermination des oscillations d’une corde de violon par voie de caleul numérique, Bull. Se. de 1’Assoc. des Ing. Electr. Montefiore, Litége, no. 11-12, 972 (1963).
[3] E. CHARRON, Théorie de Uarchet, Gauthier-Villars, Paris 1916, 1-93.
[4] Ph. le CORBEILLER, Hleclro-acoustique, Chiron, Paris 1934, 61-64.
[5] Ph. le CORBEILLER, Two-stroke oscillators, IRE Trans. on Circuit Theory, 40, 12, 387-397 (1960).
