Nonlinear Dynamic Behavior Analysis of Pressure Thin-Wall Pipe Segment with Supported Clearance at Both Ends

Table 1

Comparison of values of natural frequency parameter for a circular cylindrical shell with simply supported boundary condition (, , ).

Present	Reference [30]/difference (%)	Reference [22]/difference (%)
0.05	1	0.0161028	0.0161065/0.02	0.0161064/0.02
	2	0.0392714	0.0393038/0.08	0.0393035/0.08
	3	0.1098115	0.1098527/0.04	0.1098468/0.03
	4	0.2102772	0.2103446/0.03	0.2103419/0.03
0.002	1	0.0161011	0.0161011/0.00	0.0161023/0.01
	2	0.0054530	0.0054532/0.00	0.0054547/0.03
	3	0.0050415	0.0050419/0.01	0.0050427/0.02
	4	0.0085339	0.0085341/0.00	0.0085344/0.01