Research Article

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 2

Comparison of nondimensional natural frequencies for H-H arch.

ā€‰T cross sectionL cross section
this paperFEMthis paperFEM

10.433910.435610.731410.7423
16.125015.305215.379714.4755
31.442531.408932.318132.3079
41.479541.602338.767638.8465
67.287767.151969.621869.5147
77.804277.685773.077172.9532
116.683116.216117.562116.972
122.193121.738118.982118.508
176.450176.338172.057171.707
177.627177.575176.415175.082