Response Modification in Resonant Systems Using Arrays of Attachments

By John Judge

Engineering, Catholic University of America, Washington, DC

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Abstract

The vibration behavior of a resonant system can be modified dramatically by the additional of one or more relatively small resonant substructures. The simplest example is a tuned mass damper, in which a single small element is added with a resonant frequency tuned to match that of the primary system. We consider the case of multiple elements added with prescribed distributions of properties (mass, stiffness, damping) to achieve a variety of effects in frequency or time domain. For example, the array of added elements can be designed to achieve bandpass or bandstop filter characteristics, or to create apparent damping by rapidly drawing energy from the primary system. Applications include vibration damping, radio frequency filtering, energy harvesting, and mass sensing. We explore the consequences of manufacturing imprecision on the effect(s) created by the substructure array.

Bio

Dr. John Judge was recently appointed as Dean of Engineering at the Catholic University of America, where he has been a faculty member in Mechanical Engineering for the past 13 years. Prior to that, he held a National Research Council postdoctoral fellowship at the Naval Research Laboratory. Dr. Judge earned his Bachelor of Science at Cornell University (1996) and his Master of Science (1998) and Ph.D. (2002) from the University of Michigan. His expertise is in vibration and dynamics of complex systems, in particular near-periodic structures such as mistuned turbomachinery stages and arrays of micromechanical resonators used for signal processing or ultrasensitive mass detection. He has also conducted research in seismic/acoustic detection of landmines and improvised explosives, acoustic imaging and acoustic propagation, and experimental characterization of structures and systems using acoustics and vibration measurements. His work has been funded by the Office of Naval Research, the Army Research Office, the U.S. Department of State, and a CAREER award from the National Science Foundation. He has won several awards for teaching including the Catholic University of America Provost’s Award for Teaching Excellence. He is a fellow of the ASME.

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Researchers should cite this work as follows:

  • John Judge (2017), "Response Modification in Resonant Systems Using Arrays of Attachments," https://nanohub.org/resources/27686.

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1055 WALC, Purdue University, West Lafayette, IN

Response Modification in Resonant Systems Using Arrays of Attachments
  • Response modification in resonant systems using arrays of attachments 1. Response modification in reson… 0
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  • Arch drawing and photo of house 2. Arch drawing and photo of hous… 127.09376042709377
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  • 3D 3. 3D 189.4894894894895
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  • Turbo-machinery 4. Turbo-machinery 238.63863863863864
    00:00/00:00
  • More is different 5. More is different 413.48014681348019
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  • Collaborators 6. Collaborators 521.92192192192192
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  • Primary resonator with array of attachments 7. Primary resonator with array o… 563.2632632632633
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  • Primary resonator with array of attachments 8. Primary resonator with array o… 692.35902569235907
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  • Primary resonator with array of attachments 9. Primary resonator with array o… 750.08341675008342
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  • Single attachment case 10. Single attachment case 777.57757757757759
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  • Single attachment case 11. Single attachment case 902.60260260260259
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  • Single attachment case 12. Single attachment case 954.78812145478821
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  • Single attachment case 13. Single attachment case 957.29062395729068
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  • Single attachment case 14. Single attachment case 965.09843176509844
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  • Single attachment case 15. Single attachment case 967.0003336670004
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  • Single attachment case 16. Single attachment case 968.90223556890226
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  • Single attachment case 17. Single attachment case 986.6866866866867
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  • Single attachment case 18. Single attachment case 987.68768768768768
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  • Single attachment case 19. Single attachment case 990.29029029029027
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  • Single attachment case 20. Single attachment case 993.0597263930598
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  • Single attachment case 21. Single attachment case 996.49649649649655
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  • Array of attachments 22. Array of attachments 1005.3720387053721
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  • Array of attachments 23. Array of attachments 1109.5095095095096
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  • Flat response over a frequency band 24. Flat response over a frequency… 1131.8985652318986
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  • Linear phase over a frequency band 25. Linear phase over a frequency … 1276.8101434768103
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  • Constant phase over a frequency band 26. Constant phase over a frequenc… 1319.6863530196863
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  • Gaussian envelope in time domain 27. Gaussian envelope in time doma… 1346.47981314648
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  • Apparent damping in primary resonator 28. Apparent damping in primary re… 1368.868868868869
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  • Apparent damping in primary resonator 29. Apparent damping in primary re… 1486.252919586253
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  • Apparent damping in primary resonator 30. Apparent damping in primary re… 1517.8511845178512
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  • Apparent damping in primary resonator 31. Apparent damping in primary re… 1522.7894561227895
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  • Apparent damping in primary resonator 32. Apparent damping in primary re… 1524.657991324658
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  • Apparent damping in primary resonator 33. Apparent damping in primary re… 1528.3950617283952
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  • Apparent damping in primary resonator 34. Apparent damping in primary re… 1529.5295295295296
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  • Apparent damping in primary resonator 35. Apparent damping in primary re… 1530.5972639305974
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  • Apparent damping in primary resonator 36. Apparent damping in primary re… 1531.7317317317318
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  • Apparent damping in primary resonator 37. Apparent damping in primary re… 1533.033033033033
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  • Apparent damping in primary resonator 38. Apparent damping in primary re… 1557.6242909576245
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  • Apparent damping in primary resonator 39. Apparent damping in primary re… 1567.1671671671672
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  • Apparent damping in primary resonator 40. Apparent damping in primary re… 1568.8021354688021
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  • Apparent damping in primary resonator 41. Apparent damping in primary re… 1569.5695695695697
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  • Apparent damping in primary resonator 42. Apparent damping in primary re… 1570.236903570237
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  • Apparent damping in primary resonator 43. Apparent damping in primary re… 1575.0083416750083
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  • Apparent damping in primary resonator 44. Apparent damping in primary re… 1575.608942275609
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  • Apparent damping in primary resonator 45. Apparent damping in primary re… 1576.0760760760761
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  • Apparent damping in primary resonator 46. Apparent damping in primary re… 1579.1791791791793
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  • Apparent damping in primary resonator 47. Apparent damping in primary re… 1579.97997997998
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  • Apparent damping in primary resonator 48. Apparent damping in primary re… 1580.513847180514
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  • Apparent damping in primary resonator 49. Apparent damping in primary re… 1581.3480146813481
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  • Relationship between Q and bandwidth 50. Relationship between Q and ban… 1660.1935268601935
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  • Energy Return 51. Energy Return 1743.1431431431431
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  • Fabrication Error 52. Fabrication Error 2029.1624958291625
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  • Example: flat frequency band 53. Example: flat frequency band 2066.866866866867
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  • Example: flat frequency band 54. Example: flat frequency band 2130.9976643309978
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  • Example: flat frequency band 55. Example: flat frequency band 2133.4668001334667
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  • Example: flat frequency band 56. Example: flat frequency band 2134.4344344344345
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  • Example: flat frequency band 57. Example: flat frequency band 2135.1017684351018
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  • Example: flat frequency band 58. Example: flat frequency band 2136.0026693360028
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  • Example: flat frequency band 59. Example: flat frequency band 2136.9035702369038
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  • Example: flat frequency band 60. Example: flat frequency band 2161.9619619619621
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  • Example: flat frequency band 61. Example: flat frequency band 2163.1631631631631
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  • Example: flat frequency band 62. Example: flat frequency band 2205.2385719052386
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  • Ripple vs. Disorder 63. Ripple vs. Disorder 2209.1091091091093
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  • Sensitivity to Disorder 64. Sensitivity to Disorder 2236.3029696363033
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  • Time-domain mass sensing 65. Time-domain mass sensing 2288.5552218885555
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  • Time-domain mass sensing 66. Time-domain mass sensing 2335.9693026359696
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  • Time-domain mass sensing 67. Time-domain mass sensing 2403.7370704037371
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  • Untitled: Slide 68 68. Untitled: Slide 68 2416.9836503169836
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  • Mitigation of the Effect of Error 69. Mitigation of the Effect of Er… 2480.0800800800803
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  • Mitigation of the Effect of Error 70. Mitigation of the Effect of Er… 2500.1668335001668
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  • Mitigation of the Effect of Error 71. Mitigation of the Effect of Er… 2519.4861528194861
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  • 72. "Tunable" array of attachments 2540.9409409409409
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  • 73. "Tunable" array of attachments 2561.6616616616616
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  • Capacitance Only Mitigation 74. Capacitance Only Mitigation 2591.6916916916916
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  • Capacitance Only Mitigation 75. Capacitance Only Mitigation 2670.9376042709378
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  • Capacitance Only Mitigation 76. Capacitance Only Mitigation 2701.5682349015683
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  • Takeaways 77. Takeaways 2729.4294294294295
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  • Questions? 78. Questions? 2866.4330997664333
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