Analytical Finite Difference Method for Designing tall column pressure vessels

[jrcan]

Does anyone have a good source that outlines the basic set up of using a stiffness matrix and/or finite difference approach for design tall pressure vessels? I assume both the in-house and commercially available software for pressure vessel design must use an approach like this? Basically, dividing the column into sections (thickness/diameter/loadings) and then using an overall stiffness matrix approach to solve the live loadings (wind/seismic). Years ago I saw a paper on the subject (I think it may have been from CB&I), but I can't for the life of me find it now.

Thanks.

 

[NRP99]

Vibrations of vertical pressure vessels by C E Freese published in February 1959.

https://doi.org/10.1115/1.4008252

Also look at the following threads-
thread794-194201
thread794-372072

 

[jrcan]

Thanks NRP99, that may be the paper I was thinking...Freese was Fluor...not CB&I. My mistake.

 

[IdanPV]

BEDNAR - Pressure Vessel Design Handbook, Second Edition - Chapter 1.