Monday, May 08, 2006

Triangles Don't Resonate

A 2 dimensional equilateral triangle, cut from a sheet of tin, say, cut in outline only, doe *not* have a single resonant frequency.

The varying distances from any given point on the surface of such an object to an edge vary with the angle of the path of the pressure wave taken. Naturally, this assumes we're discussing a mechanical system, specifically, the intersection of pressure waves at an unknown angle with the object, even is the object is a completely regular object, and the incidence of the pressure wave is assumed to be perpendicular to the object.

If the objective is to simple cause the triangle to vibrate, this can be easily accomplished by the application of the pressure wave using a suitable transducer, or even by using a large speaker and amplifier.

Who wants pie?

2 comments:

Anonymous said...

so yeah! so TOTALLY yeah. :D
pass the pie!

Ueberscheisse said...

Pobrecita, there's been no pie since April 4th 2006. Oh, Fie! There's no pie. Sad pie. Poor pie. Oh, the sad sad life, bereft of pie, from the crust untimely ripped...