The pipe segments modeled in Part 1 are incorporated into a larger scheme permitting branching, fittings, valves, added masses, rigid, flexible and dissipative mechanical constraints, accumulators and various boundary conditions. The concept of the global matrix also is extended to systems with junctions and closed loops, permitting practical solution for frequency responses without round-off error problems. The procedure can be generalized to handle a broad class of systems comprising a combination of lumped elements and quasi one-dimensional distributed-parameter elements. A complex example with experimental corroboration is given.

Issue Section:
Technical Papers
Keywords:
pipe flow, frequency response, matrix algebra, computational fluid dynamics, hydraulic systems, mechanical engineering computing
Topics:
Boundary-value problems, Errors, Flow (Dynamics), Fluids, Frequency response, Junctions, Pipes, Secondary cells, Systems analysis, Tubing, Valves, Pressure, Displacement, Fittings, Degrees of freedom, Density, Hydraulic drive systems
1.
Tentarelli, S. C., 1989, “Propagation of Noise and Vibration in Complex Hydraulic Tubing Systems,” Ph.D. dissertation, Lehigh University, Bethlehem, PA.
2.
Tentarelli, S. C., 1989, “Propagation of Noise and Vibration in Complex Hydraulic Tubing Systems,” HYD1.LU Package Manual, Fluid Power Laboratory, Department of Mechanical Engineering, Lehigh University, Bethlehem, PA.
Copyright © 2001
 by ASME
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