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| ANALYTICAL SOLUTION IN FREQUENCY DOMAIN to VIBRATION IN a BRANCHED PIPE with FLUID-STRUCTURE INTERACTION |
| LIU Gong-min1;LI Yan-hua1;ZHU Wei-hua2 |
| (1.College of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, China;2. Unit of PLA Representative in Datong District, Datong 037036, China) |
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Abstract The time-domain equation models descringbing axis vibration, lateral vibration and torsion with fluid-structure interation were transformed to ones in frequency domain using Laplace transformation and twelve fourth-order ordinary differential equations and two second order ordinary differential equations were obtained. Solving those equations in frequency domain, an analytical, solution in frequency domain to a single straight pipe was obtained. Then with the equilibrium and bownaery conditions a the branched point, the analytical solution in ftrquency dimain was deduced for an arbitrary shape branched pipe. Finally, simulations was were performed the results were verified by test data made by professor Tijsseling in Dundee University of England.
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Received: 30 April 2009
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2010, Vol. 29 
