Abstract
A general computational technique is developed for the study of uniaxial linear vibration of compressible fluids in piping systems. An exact finite element mobility method is applied. The elements included are finite and semi-infinite fluid columns, intermediate and boundary mass-spring-damper systems, cavity springs and modal bodies. The method is analogous to the stiffness method in structural mechanics. Branches and loops in the piping system do not complicate the solution. Pressures and volume velocities (accelerations) can be prescribed. Forced harmonic responses at a fixed frequency are solved from the global matrix equation established. Eigenfrequencies are found through the Wittrick-Williams algorithm. Transient responses are calculated by use of modal superposition. Numerical examples are given in a companion paper.
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