where 7 .B4 E 2.069xl0" N/m 2 for steel G 2 (i+v) = 7.956xlo 10 N/m 2 J Ip for circular section Note: The equations for torsional vibration are solved only for the cylindrical section of the colony with the spherical endcaps treated as concentrated masses attached to the ends of the cylinder. Solving for J where J = l:Ip. and i is summed over all structural i J. components: I p (inner hull) Ip (outer hull) Ip (bulkheads) TI (100. 04 4 100 4 ) 251478.2 m 2 TI (105 . 04 4 105 4 ) 291109.4 m 2 30 ( 5)(. 03) l: (102.5) 2 sin 2 [ (K-1) J K=l 2.36xl 0 4 m 4 ~ Ip. = 5 . 66xl0 5 m 4 i=l 1 4 4 12° l We solve for I where I= l:l/2miri 2 and the mass of structural components is as follows: Outer hull-cylinder Inner hull-cylinder Shield-cylinder 2 . 4lxl 0 7 Kg 2 . 29xl0 7 Kg 32 . 520xl0 7 Kg
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