2008 International ANSYS Conference

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1 2008 International ANSYS Conference Simulation of Added Mass Effect on Disc Vibrating in Fluid Using Fluid-Structure Interaction Coupling of ANSYS/CFX QIAN LIKE ANSYS Japan K.K ANSYS, Inc. All rights reserved. 1 ANSYS, Inc. Proprietary

2 Purpose To verify the application of fluid-structure interaction coupling of ANSYS/CFX to a strongly coupled problem To investigate if the added mass effect of on disc vibrating in water could be calculated properly by comparing the vibrating frequency in water with the one in air and eigen value To gather the practical experience about FSI analysis 2008 ANSYS, Inc. All rights reserved. 2 ANSYS, Inc. Proprietary

3 Experiment Equipment [1] Water region 2 Water region ANSYS, Inc. All rights reserved. 3 ANSYS, Inc. Proprietary

4 Experiment Result [1] Height of water region H1: 40 mm Height of water region H2: changes from 0mm to 80mm The verification was performed for n=1 and n=2 mode when H2=40 mm ANSYS, Inc. All rights reserved. 4 ANSYS, Inc. Proprietary

5 Analysis Model d t d s Gray: water Red: disc D t = Tank diameter, 407mm D s = Shaft diameter, 135mm D d = Disc diameter, 405mm Height of H2: 40mm Disc thickness: 10mm Height of H1: 40mm d d 2008 ANSYS, Inc. All rights reserved. 5 ANSYS, Inc. Proprietary

6 Analyses of Disc Vibration 1. Modal Analysis 2. Fluid (Air)-Structure (Steel) Interaction Analysis 3. Fluid (Water)-Structure (Steel) Interaction Analysis 2008 ANSYS, Inc. All rights reserved. 6 ANSYS, Inc. Proprietary

7 Structure Region Mesh Hexahedron Mesh with middle points Nodes: Elements: ANSYS, Inc. All rights reserved. 7 ANSYS, Inc. Proprietary

8 Fluid Region Mesh Hexahedron Mesh Nodes: Elements: ANSYS, Inc. All rights reserved. 8 ANSYS, Inc. Proprietary

9 Load and Supports Point Load Fx = 0.0[N] Fy = 0.0[N] Fz Fixed support in center line Elastic support in surface Point Load Time[s] Load[N] 荷重 [N] E E E E E E-04 時間 [s] 2008 ANSYS, Inc. All rights reserved. 9 ANSYS, Inc. Proprietary

10 Material Properties Water(Compressible) Density P P0 ρ = ρ0 exp( K Reference Density 997 [kg/m 3 ] Reference Pressure P e5 [Pa] Bulk Modulus K 2e9[Pa] Viscosity: 8.899e-4 [Pa s] ) ρ 0 Air(Compressible) Density: Idea Gas Viscosity: 1.831e-5 [Pa s] Structural Steel Yong s Modulus: 2e11 [Pa] Poisson s Ration: 0.3 Density: 7850 [kg/m 3 ] 2008 ANSYS, Inc. All rights reserved. 10 ANSYS, Inc. Proprietary

11 Fluid Boundary Conditions Tank outside: Wall, No slip, Stationary Shaft: Wall, No Slip, Unspecified Water Surface: Open, Pressure =0[Pa], Unspecified Disc surface: Wall, No Slip, FSI interface Tank Bottom: Wall, No Slip, Stationary 2008 ANSYS, Inc. All rights reserved. 11 ANSYS, Inc. Proprietary

12 Solver Control Parameters Coupling Anlaysis Coupling Time Step Δt: [s] ( 6250 Hz) Total Time Steps: 512 Coupling Iteration: Max 10, Min 2 Relaxation Factor: 0.5 Convergent Target: 1E-3 FSI Interface ANSYS CFX Total Mesh Displacement CFX ANSYS Total Force Fluid analysis Fluid Time Step: same as coupling time step Iteration: Max 10, min 3 Convergence Criteria 1e ANSYS, Inc. All rights reserved. 12 ANSYS, Inc. Proprietary

13 Modal Results Nodal Diameter Mode 1 Nodal Diameter Mode ANSYS, Inc. All rights reserved. 13 ANSYS, Inc. Proprietary

14 FSI Results Nodal Diameter Mode 1 Nodal Diameter Mode 2 Air Nodal Diameter Mode 1 Nodal Diameter Mode 2 Water 2008 ANSYS, Inc. All rights reserved. 14 ANSYS, Inc. Proprietary

15 Monitor Points MP3 Displacement of MP1 MP4 MP2 MP1 Load Point Displacement Time [s] Spectrum of MP1 from FFT Magnitude [m] Frequency [Hz] 2008 ANSYS, Inc. All rights reserved. 15 ANSYS, Inc. Proprietary

16 Results from MP2 Displacement of MP2 Displacement Time [s] Spectrum of MP2 from FFT Magnitude [m] 2008 ANSYS, Inc. All rights reserved. 16 Frequency [Hz] ANSYS, Inc. Proprietary

17 Results from MP3 Displacement of MP3 Displacement Time [s] Spectrum of MP3 from FFT Magnitude [m] Frequency [Hz] 2008 ANSYS, Inc. All rights reserved. 17 ANSYS, Inc. Proprietary

18 Results from MP4 Displacement of MP4 Time [s] Magnitude [m] Displacement Spectrum of MP4 from FFT 2008 ANSYS, Inc. All rights reserved. 18 Frequency [Hz] ANSYS, Inc. Proprietary

19 Comparison of modes modes Experiment Data FSI Error (%) N=1 Air Water Rate N=2 Air Water Rate ANSYS, Inc. All rights reserved. 19 ANSYS, Inc. Proprietary

20 Summary The added mass effect on disc vibration in water has been predicted by FSI coupling of ANSYS/CFX. The rate of disc vibrating frequency in water and in air is agreed with experiment data for ND1 and ND2 mode. Fluid structure interaction coupling of ANSYS/CFX is validated for strongly coupling applications such as fluid related vibration. Special attentions should be paid in following term for a FSI application. Support conditions in structure analysis have an important effects on vibrating frequency and should be determined according to the experiment data before an FSI verification is performed using the experiment data. Mesh size near the FSI interface will effect vibrating magnitude and need to be controlled carefully ANSYS, Inc. All rights reserved. 20 ANSYS, Inc. Proprietary

2008 International ANSYS Conference

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