Vibrational modes of two violins
Using electronic TV holography, as well as other methods for observing vibrational motion and sound radiation, the normal modes of vibration in two violins have been studied. The principal modes observed in a Hutchins violin showed fairly good agreement with those reported by Marshall [J. Acoust. Soc. Am. 77, 695–709 (1985)] for the same violin. The strongly radiating T1 and C3 modes appear to be doublets, and this phenomenon is discussed. Vibrational modes excited by a force applied to the bridge by internal sound pressure, and by the sound field of a loudspeaker are compared.
We study the following bifurcation problem in a bounded domain in IR N : 8 : pu = juj jvj v + f(x; u; v; ) in qv = juj jvj u + g(x; u; v; ) in (u; v) 2 W 1;p 0 () W 1;q 0 () : We prove that the principal eigenvalue 1 of the following eigen- value problem 8