Vibration Analysis of 3-D Piping via Transfer Matrices

摘要

The thesis develops the theory for and presents a digital computer program capable of determining the natural frequencies of a three-dimensional piping system having arbitrary configuration. The analysis uses the method of transfer matrices. Piping hangers, loops, and complex branches (branches emanating from branches) have not been included in the analysis. A distributed mass model is used for straight pipe sections, while mass is lumpted for curved sections. Inclusion of shear deflection and rotary intertia is optional. Several piping configurations are analyzed using the program; the results are compared with analytical solutions or values from the literature to demonstrate the accuracy and integrity of the program. (Author)