A general transmission-matrix approach is given for finding the frequency response of linearized long-wavelength models for the vibration in systems with straight and curved fluid-filled tubes. Couplings between the fluid and wall motions include the Bourdon effect, frequency-dependent wall shear, the Poisson coupling and the effect of discontinuities. The introduction of a global transmission matrix allows nonplanar tubing systems of virtually any complexity to be analyzed, overcoming the round-off error problem that plagues the basic transmission-matrix approach for this and analogous system models. Corroborating experiments focus on the Poisson and Bourdon effects.
Dynamic Behavior of Complex Fluid-Filled Tubing Systems—Part 1: Tubing Analysis
Contributed by the Dynamic Systems and Control Division for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received by the Dynamic Systems and Control Division March 13, 1998. Associate Editor: Woong-Chul Yang.
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Brown, F. T., and Tentarelli, S. C. (March 13, 1998). "Dynamic Behavior of Complex Fluid-Filled Tubing Systems—Part 1: Tubing Analysis ." ASME. J. Dyn. Sys., Meas., Control. March 2001; 123(1): 71–77. https://doi.org/10.1115/1.1344879
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