Efficient Simulation for Strongly Coupled Noise- Vibration-Harshness (NVH) R. S. Puri, D. Morrey, Oxford Brooks E. B.

Transcription

1 Efficient Simulation for Strongly Coupled Noie- Vibration-Harhne (NVH) R. S. Puri, D. Morrey, Oxford Brook E. B. Rudnyi, CADFEM

2 Background Joint work 24- Over Available online ModelReduction.com/ contrib/srinivaan.puri/ 1

3 NVH Simulation Low Frequency Mid Frequency High Frequency Structure borne Structure and air borne Air born 1 Hz 1 25 Hz > 25 Hz 2

4 3 Fully Coupled Finite Element Dicretization FLUID29/FLUID3 in ANSYS The element ize hould be maller than wavelength High dimenional model Unymmetric matrice = + + a a f a a f F F p u K K K C C j M M M 2 ω ω

5 Model Order Reduction Relatively new technology Solid mathematical background: Approximation of large cale dynamic ytem Dynamic imulation: Harmonic or tranient imulation Indutry application level: Linear dynamic ytem only 4

6 From Finite Element to Sytem Simulation Phyic & Geometry FEM Sytem of n ODE MOR Reduced Sytem of r << n ODE SCOPE1 + V1 6 - h3 l3 h1 h2 h3 h4 SCOPE2 5Hz h1 l1 h2 l2 h3 l3 h2 l2 h5 h6 h7 h8 h9 h1 h11 h12 h13 h14 h1 l1 h15 h16 h17 h18 h19 h2 h21 h22 h23 h24 h25 h26 h27 h28 h29 h3 Electrothermal Simulation with IGBT: From ANSYS Workbench to Capoc (Euroime 28) FILENAME FILENAME1 D:\capoc23\SomeProject\mor\MOR3Input\mor 5

7 Model Reduction a Projection Projection onto lowdimenional ubpace E x& + Kx = Bu x = Vz + ε E z V T EVz& + V T KVz = V T Bu x = V How to find ubpace? Mode uperpoition i not the bet way to do it. E r 6

8 Implicit Moment Matching Padé approximation Matching firt moment for the tranfer function H ( ) = E x& + Kx = Bu 1 ( E + K ) B H H red = m ( ) i i = m ( i i, red ) m i = m i,red, i =,K,r Implicit Moment Matching: via Krylov Subpace = V = pan{i(k 1 E,K 1 b)} 7

9 MOR for ANSYS: ANSYS Model Simulink, Capoc, Simplorer, VerilogA, FULL file Small dimenional matrice Mx &&+ Ex& + Kx y = Cx = Bu Linear Dynamic Sytem, ODE MOR Algorithm Current verion 2.5 8

10 Electrothermal Simulation of IGBT SCOPE1 Euroime 28, Daimler, imulation with CASPOC + V1 6 - h3 l3 SCOPE2 h1 h1 l1 h2 l2 h3 l3 D D D D D D D D D h2 h3 5Hz VDC + - D D D D D D D D D h2 h4 h5 h6 h7 l2 h8 h9 h1 h11 h12 h13 h14 h1 h15 h16 l1 h17 h18 h19 h2 h21 h22 h23 h24 h25 h26 h27 h28 h29 h3 9 FILENAME FILENAME1 D:\capoc23\SomeProject\mor\MOR3Input\mor

11 HDD actuator and upenion ytem Prof J. S. Han. Tranaction of the KSME, A, Vol. 31, No. 5, pp , 27. 1

12 11 Piezoelectric Angular Rate Senor with Corioli Effect Prof J. S. Han, KSME 28. = + + l f V u K K K K V u E V u M d z T z & & && &&

13 Piezoelectric Angular Rate Senor with Corioli Effect 12

14 Model Reduction a Fat Solver Simulation of the reduced model i a few econd. Arnoldi Proce i fat: Tranient and harmonic repone analyi for the cot comparable with that of a tatic olution. It i advantageou to ue MOR even the reduced model i ued only once: Deign, Geometry optimization. 13

15 NVH Benchmark in Thei The 2D Acid-Tet 3D Plate backed air filled cavity 3D Plate backed Rectangular Water Filled Cavity Cylinder encloing an air-filled cavity Demontrator Structure: Adheive Bonded Joint 14

16 Adheive Bonded Joint Benchmark Mechanical Structure - SHELL181 Adheive SOLID45 Fluid FLUID3 Single excitation point Global and local damping 15

17 Comparion 16

18 Comparion Relative Error 17

19 18 Error Indicator True Error Error Indicator ) ( ) ( ) ( ) ( H H H E r r = ) ( ) ( ) ( ) ( ˆ 1 H H H E r r r r + = ) ( ˆ ) ( E E r r

20 Timing Problem in ANSYS element, node, free DoF Full olution in ANSYS for 2 frequencie hour 83 per frequency Proportional to the number of frequencie MOR for ANSYS Reading ANSYS file 3 Model reduction 17 Proportional to the number of vector Simulation of the reduced model 4 19

21 NVH Optimization 2

22 NVH Vibro-Acoutic Optimization SHELL181 to model the layered compoite Stack of eight layer To find optimal lamination 21

23 Fluid Structure Interaction at Acoutic Level 22 By courtey of Voith Siemen Hydro Power Generation GmbH & Co. KG

24 Concluion Model reduction i an excellent tool to peed up NVH imulation Software for ANSYS i available: MOR for ANSYS More information: 23