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Mathematical Problems in Engineering
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Mathematical Problems in Engineering
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2018
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Article
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Tab 1
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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 1
Comparison of nondimensional natural frequencies for C-C arch.
ā
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