Analysis of the Spatial Vibration of Nonprismatic Arches by Means of Recurrence Relations for the Coefficients of the Chebyshev Series Expansion of the Solution

Table 1

Comparison of nondimensional natural frequencies for C-C arch.

	T cross section		L cross section
	this paper	FEM	this paper	FEM
	12.8422	12.8357	14.4076	14.3977
	21.7808	21.5418	20.4538	20.2170
	35.456	35.3940	38.5603	38.4733
	43.0735	42.8782	41.0721	40.9014
	71.9845	71.6488	69.5107	69.2230
	73.4635	73.2456	77.2990	77.1129
	106.763	105.734	105.528	104.525
	125.614	124.971	125.176	124.907
	149.329	148.075	155.660	153.881
	181.214	188.195	171.785	174.332