Acoustic natural frequency analysis of tree-structure pipeline systems by personal computer

The paper gives the extension of the Schmidt-Kuhlmann method for reciprocating compressor pipeline systems having a tree-structure, consisting of receivers and pipes with an optional number of branchings. It gives a generalized algorithm which makes it possible to mechanize program constructing for the purpose of determining acoustic natural frequencies of complex structures, and it illustrates the use of personal computers—besides the actual numerical calculations—for automatic program-writing as well. The program developed is very useful in design practice for determining the effects caused by modification of the geometric dimensions, and it permits one to shift and avoid harmful acoustic resonances in preliminary planning.