Forward Beaded String Data

We provide all the information for the forward problem in two forms. First, the masses, lengths and tensions can be read directly from the given tables. For convenience we also provide *.mat files containing this same information. This is contained in the structure info, which has the following fields:

• m - The masses of the beads in kilograms sequentially left to right.
• ell - The distance between the center of the beads in meters.
• tension - Tension in the string in Newtons.

With these spectra plots we have also included gray bars; the left and right ends containing estimates of the eigenvalues assuming negligible and non-negligible bead lengths.

Two bead data
D0132 dataset problem
	m = 17.804 17.804 g l = 25.7 61.0 25.7 cm
D0134 dataset problem
	m = 17.804 17.804 g l = 33.3 45.7 33.3 cm
D0166 dataset problem
	m = 30.783 30.783 g l = 30.8 50.8 30.8 cm
Four bead data
D0139 dataset problem
	m = 30.783 17.804 17.804 30.783 g l = 25.7 20.3 20.3 20.3 25.7 cm
D0142 dataset problem
	m = 30.783 17.804 17.804 30.783 g l = 15.6 30.5 20.3 30.5 15.6 cm
D0144 dataset problem
	m = 30.783 17.804 17.804 30.783 g l = 15.6 25.4 30.5 25.4 15.6 cm
D0146 dataset problem
	m = 30.783 17.804 17.804 30.783 g l = 10.5 30.5 30.5 30.5 10.5 cm
D0148 dataset problem
	m = 17.804 9.097 9.097 17.804 g l = 25.7 20.3 20.3 20.3 25.7 cm
D0149 dataset problem
	m = 17.804 9.097 9.097 17.804 g l = 15.6 30.5 20.3 30.5 15.6 cm
D0151 dataset problem
	m = 17.804 9.097 9.097 17.804 g l = 15.6 25.4 30.5 25.4 15.6 cm
D0152 dataset problem
	m = 17.804 9.097 9.097 17.804 g l = 15.6 30.5 20.3 30.5 15.6 cm
Six bead data
D0154 dataset problem
	m = 17.804 30.783 17.804 17.804 30.783 17.804 g l = 13.0 17.8 15.2 20.3 15.2 17.8 13.0 cm
D0158 dataset problem
	m = 17.804 30.783 17.804 17.804 30.783 17.804 g l = 10.5 20.3 12.7 25.4 12.7 20.3 10.5 cm