A Complex Power Approach to Characterise Joints in Experimental Dynamic Substructuring

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1 A Complex Power Approach to Characterise Joints in Experimental Dynamic Substructuring Emiel Barten

2 A Complex Power Approach to Characterise Joints in Experimental Dynamic Substructuring Experimental Dynamic Substructuring Joints (in Experimental Dynamic Substructuring) Complex Power 2

3 A Complex Power Approach to Characterise Joints in Experimental Dynamic Substructuring Experimental Dynamic Substructuring Joints (in Experimental Dynamic Substructuring) Complex Power 3

4 Experimental Dynamic Substructuring Introduction Virtual Prototyping Exchange between engineering groups Combine numerical and experimental models 4

5 Experimental Dynamic Substructuring Response Functions 5

6 Experimental Dynamic Substructuring Response Functions 6

7 A Complex Power Approach to Characterise Joints in Experimental Dynamic Substructuring Experimental Dynamic Substructuring Joints (in Experimental Dynamic Substructuring) Complex Power 7

8 A Complex Power Approach to Characterise Joints in Experimental Dynamic Substructuring Experimental Dynamic Substructuring Joints (in Experimental Dynamic Substructuring) Complex Power 8

9 Joints In Experimental Dynamic Substructuring 9

10 Joints In Experimental Dynamic Substructuring 10

11 Contents Introduction Experimental Dynamic Substructuring Joints Theory Joints in Dynamic Substructuring Complex Power Test Case Closure 11

12 Joints in Dynamic Substructuring Rigid versus Compliant Connection 12

13 Joints in Dynamic Substructuring Rigid versus Compliant Connection uncoupled response coupled response interface force dynamic interface stiffness 13

14 Joints in Dynamic Substructuring Rigid versus Compliant Connection uncoupled response coupled response interface force dynamic interface stiffness 14

15 Joints in Dynamic Substructuring Summary Rigid Connection Compliant Connection Everything should be made as simple as possible, but not simpler 15

16 A Complex Power Approach to Characterise Joints in Experimental Dynamic Substructuring Experimental Dynamic Substructuring Joints (in Experimental Dynamic Substructuring) Complex Power 16

17 A Complex Power Approach to Characterise Joints in Experimental Dynamic Substructuring Experimental Dynamic Substructuring Joints (in Experimental Dynamic Substructuring) Complex Power 17

18 Complex Power Introduction Power is the rate of energy change Instantaneous Used as a tool to determine the interface damping 18

19 Complex Power Excitation Power versus Interface Power Excitation Power Interface Power 19

20 Complex Power Exchange Power versus Dissipative Power Exchange Power A result of the elastic and inertia force Dissipative Power A result of the damping force 20

21 Complex Power Excitation Power Exchange Power Dissipative Power 21

22 Complex Power Summary Resonance Frequencies Dissipative Power 22

23 A Complex Power Approach to Characterise Joints in Experimental Dynamic Substructuring Experimental Dynamic Substructuring Joints (in Experimental Dynamic Substructuring) Complex Power 23

24 Test Case Introduction Homogeneous material properties Geometrically simple components Typical bolted joints 24

25 Test Case Measurement versus Model 25

26 Test Case Different Connections 1. Traditional Rigid Connection 2. Compliant in, only in stiffness. Match resonance frequencies 3. Compliant in, in stiffness and damping. Match dissipative power 26

27 Test Case Coupling Results 27

28 Test Case Coupling Results 28

29 Test Case Dissipative Power 29

30 Test Case Dissipative Power 30

31 Test Case Final Result 31

32 Recommendations Optimisation algorithm to obtain interface parameters Implement non-linear interface models Interface models off the shelf 32

33 Conclusions A Complex Power Approach to Characterise Joints in Experimental Dynamic Substructuring Compliant interface connections can be used to account for the influence of mechanical joints Complex Power can be used to as a tool to determine interface damping 33

34 A Complex Power Approach to Characterise Joints in Experimental Dynamic Substructuring Emiel Barten

35 Backup Slides 35

36 Backup Slide Modal Synthesis 36

37 Backup Slide MAC 37

38 Backup Slide Measurement Setup 38

39 Backup Slide Vold Kalman Filter 39

40 Backup Slide Circle Fit 40

41 Backup Slide ANSYS Interface Model 41

42 Backup Slide Interface Models 42

43 Backup Slide Rigidly Coupled MAC 43

44 Backup Slide Compliantly Coupled MAC 44

45 Backup Slide Coupling by Damping 45

46 Backup Slide Complex Power 46

47 Backup Slide Stationary Response 47

48 Backup Slide Force Equilibrium 48

49 Subtitle 49

50 Modal Synthesis 50

51 Backup Slide Interface Power 51

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