• No results found

Recommendations for Future Research

Possible extensions to, and expansions upon, the research described in this thesis are:

• Application of the methodologies developed and validated to any of the wide range of MEMS devices whose vibrational and dynamic characteristics are important for predicting performance.

• Application of these methodologies to other sound and vibration sensing organs in insects, which occur in numerous forms, and whose dynamics may be of interest for a number of reasons.

• Extension of the methods validated for slender beams vibrating in one direction to two- and three-dimensional structures and motions would be possible given appro- priate excitation and response measurement systems.

• Optimization of excitation systems to match excitation bandwidth to the systems be- ing studied may give improved results for the structures considered herein. Most notably, there has been a report [39] of high frequency modes in the mechanosensory hairs of crickets, and a full modal analysis in a higher frequency range may prove to be of value.

[1] D. J. Ewins. Modal Testing: Theory, Practice and Application. Research Studies Press LTD., second edition, 2000.

[2] James S. Burdess, Alun J. Harris, David Wood, Robert J. Pitcher, and David Glennie. A system for the dynamic characterization of microstructures. Journal of Microelec- tromechanical Systems, 6(4):322 –328, dec 1997.

[3] Dionysius M. Siringoringo and Yozo Fujino. Experimental study of laser doppler vibrometer and ambient vibration for vibration-based damage detection. Engineering Structures, 28(13):1803–1815, 2006.

[4] J.-G. B´eliveau, F.R. Vigneron, Y. Soucy, and S Draisey. Modal parameter estimation from base excitation. Journal of Sound and Vibration, 107(3):435–449, 1986.

[5] Joseph F. Vignola, Scot F. Morse, Xiao Liu, Lidija Sekaric, Brian H. Houston, and Douglas M. Photiadis. Laser doppler method for mode identification on micro- oscillators. In Enrico P. Tomasini, editor, Fourth International Conference on Vibra- tion Measurements by Laser Techniques: Advances and Applications, volume 4072, pages 422–433. SPIE, 2000.

[6] Y.-F. Chou and L.-C. Wang. On the modal testing of microstructures: Its theoretical approach and experimental setup. Journal of Vibration and Acoustics, Transactions of the ASME, 123(1):104–109, 2001.

[7] O.B. Ozdoganlar, B.D. Hansche, and T.G. Carne. Experimental modal analysis for microelectromechanical systems. Experimental Mechanics, 45(6):498–506, 2005. [8] X.D. Wang, N. Li, T. Wang, M.W. Liu, and L.D. Wang. Dynamic characteristic testing

for mems micro-devices with base excitation. Measurement Science and Technology, 18(6):1740–1747, 2007.

REFERENCES 118 [9] A. V. Shaporin, M. Hanf, and W. Doetzel. Novel characterization method for mems devices. In Reliability, Packaging, Testing, and Characterization of MEMS/MOEMS IV, volume 5716, pages 198 – 206, 2005.

[10] Jordan E. Massad, Hartono Sumali, David S. Epp, and Christopher W. Dyck. Mod- eling, simulation, and testing of the mechanical dynamics of an rf mems switch. In

Proceedings of the 2005 International Conference on MEMS, NANO and Smart Sys- tems, 2005.

[11] Ilgar Veryeri and Ipek Basdogan. Dynamic characterization and damping control of a mems structure. In Yves Bellouard, editor, Optomechatronic Actuators and Manipu- lation III, volume 6715, 2007.

[12] Ozan Anac and Ipek Basdogan. Model validation and performance prediction in the design of micro systems.Journal of Vibration and Control, 14(11):1711 – 1728, 2008. [13] Giorgio De Pasquale and Aurelio Som`a. Numerical and experimental validation of out-of-plane resonance closed formulas for mems suspended plates with square holes.

Microsystem Technologies, 15(3):391–400, 2009.

[14] J. Lardies. State-space identification of vibrating systems from multi-output measure- ments. Mechanical Systems and Signal Processing, 12(4):543–558, 1998.

[15] J.-B. Bodeux and J.-C. Golinval. Modal identification and damage detection using the data-driven stochastic subspace and armav methods. Mechanical Systems and Signal Processing, 17(1):83–89, 2003.

[16] L Hermans and H. Van Der Auweraer. Modal testing and analysis of structures un- der operational conditions: Industrial applications. Mechanical Systems and Signal Processing, 13(2):193–216, 1999.

[17] Bart Peeters, Bart Van den Branden, Alexander Laqui`ere, and Guido De Roeck. Output-only modal analysis: Development of a GUI for MATLAB. InProceedings of IMAC 17, the International Modal Analysis Conference, 1999.

[18] Bart Peeters and Guido De Roeck. Reference-based stochastic subspace identifica- tion for output-only modal analysis. Mechanical Systems and Signal Processing, 13(6):855–878, 1999.

[19] Bart Peeters. System Identification and Damage Detection in Civil Engineering. PhD thesis, Katholieke Universiteit Leuven, 2000.

[20] Bart Peeters, Guido De Roeck, Luc Hermans, Tom Wauters, Christoph Kr¨amer, and Camiel de Smet. Comparison of system identification methods using operational data of a bridge test. In Proceedings of ISMA 23, the International Conference on Noise and Vibration Engineering, pages 923–930, K.U.Leuven, Belgium, September 1998. [21] B Peeters and G De Roeck. Stochastic subspace system identification of a steel trans-

mitter mast. In Proceedings of IMAC 16, the International Modal Analysis Confer- ence, pages 130–136, Santa Barbara, USA, February 1998.

[22] Bart Peeters and Guido De Roeck. Stochastic system identification for operational modal analysis: A review. Journal of Dynamic Systems, Measurement, and Control, 123:659 – 667, 2001.

[23] Filipe Magalh˜aes and ´Alvaro Cunha. Explaining operational modal analysis with data from an arch bridge. Mechanical Systems and Signal Processing, 25(5):1431–1450, 2011.

[24] D. Robert, R. N. Miles, and R. R. Hoy. Directional hearing by mechanical coupling in the parasitoid flyOrmia ochracea. Journal of Comparative Physiology A, 179:29 – 44, 1996.

[25] R. N. Miles, D. Robert, and R. R. Hoy. Mechanically coupled ears for directional hearing in the parasitoid fly Ormia ochracea. Journal of the Acoustical Society of America, 98:3059 – 3070, 1995.

[26] K. Yoo, C. Gibbons, Q.T. Su, R.N. Miles, and N.C. Tien. Fabrication of biomimetic 3-d structured diaphragms. Sensors and Actuators A: Physical, 97-98:448–456, 2002. [27] H.-J. Pfl¨uger and L. H. Field. A locust chordotonal organ coding for proprioceptive

and acoustic stimuli. Journal of Comparative Physiology A, 184:169 – 183, 1999. [28] Martin C. G¨opfert and Daniel Robert. The mechanical basis ofDrosophilaaudition.

The Journal of Experimental Biology, 205:1199 – 1208, 2002.

[29] James F. C. Windmill, Martin. C. G¨opfert, and Daniel Robert. Tympanal travelling waves in migratory locusts. The Journal of Experimental Biology, 208:157 – 168, 2005.

[30] J. F. C. Windmill, J. H. Fullard, and D. Robert. Mechanics of a ’simple’ ear: Tympanal vibrations in noctuid moths. The Journal of Experimental Biology, 210:2637 – 2648, 2007.

REFERENCES 120 [31] Natasha Mhatre, Fernando Montealegre-Z, Rohini Balakrishnan, and Daniel Robert. Mechanical response of the tympanal membranes of the tree cricketOecanthus henryi.

Journal of Comparative Physiology A, 195:453 – 462, 2009.

[32] Kathleen M. Lucas, James F. C. Windmill, Daniel Robert, and Jayne E. Yack. Au- ditory mechanics and sensitivity in the tropical butterfly Morpho peleides (papil- ionoidea, nymphalidae). The Journal of Experimental Biology, 212:3533 – 3541, 2009.

[33] Manuela Nowotny, Jennifer Hummel, Melanie Weber, Doreen M¨ockel, and Manfred K¨ossl. Acoustic-induced motion of the bushcricket (Mecopoda elongata, tettigoni- idae) tympanum. Journal of Comparative Physiology A, 196:939 – 945, 2010.

[34] Tateo Shimozawa and Masamichi Kanou. The aerodynamics and sensory physiology of range fractionation in the cercal filiform sensilla of the cricketGryllus bimaculatus.

Journal of Comparative Physiology A, 155:495 – 505, 1984.

[35] G¨unter K¨amper and Hans-Ulrich Kleindienst. Oscillation of cricket sensory hairs in a low-frequency sound field. Journal of Comparative Physiology A, 167:193 – 200, 1990.

[36] M. A. Landolfa and J.P. Miller. Stimulus-response properties of cricket cercal filiform receptors. Journal of Comparative Physiology A, 177:749 – 757, 1995.

[37] M. A. Landolfa and G. A. Jacobs. Direction sensitivity of the filiform hair population of the cricket cercal system. Journal of Comparative Physiology A, 177:759 – 766, 1995.

[38] T Kumagai, T. Shimozawa, and Y. Baba. Mobilities of the cercal wind-receptor hairs of the cricket, gryllus bimaculatus. Journal of Comparative Physiology A, 183:7 – 21, 1998.

[39] C. Santulli, T.J. Finn, R. Seidel, and G. Jeronimidis. Scanning ldv for vibration mea- surement of filiform hairs in crickets in response to induced airflow. InSeventh Inter- national Conference on Vibration Measurements by Laser Techniques: Advances and Applications, volume 6345, 2006.

[40] Tianfu Wang. Nonlinear and Stochastic Dynamics of MEMS-Based Angular Rate Sensing and Switching Systems. PhD thesis, The University of Western Ontario, 2009.

[41] Pakeeza Hafeez, Joel M. Book, and Samuel F. Asokanthan. Ssi-based modal charac- terization of micron-scale structures. InProceedings of the 22nd Canadian Congress of Applied Mechanics, 2009. Halifax, N.S.

[42] Pakeeza Hafeez. Modal characterization of micron-scale structures. Master’s thesis, The University of Western Ontario, 2009.

[43] Daniel J. Inman. Engineering Vibration. Prentice-Hall, Inc., second edition edition, 2001.

[44] Gene F. Franklin, J. David Powell, and Michael L Workman. Digital Control of Dy- namic Systems. Addison Wesley Longman, Inc., third edition, 1998.

[45] Dennis S. Bernstein. Matrix Mathematics: Theory, Facts, and Formulas with Appli- cations to Linear Systems Theory. Princeton University Press, 2005.

[46] Charles L. Phillips and H. Troy Nagle. Digital Control System Analysis and Design. Prentice Hall, third edition, 1995.

[47] Bart Van den Branden, Bart Peeters, and Guido De Roeck. Introduction ot MACEC v 2.0. Katholieke Universiteit Leuven, March 1999.

[48] Primoz Cermelj. Uff file reading and writing. MATLAB Central File Exchange, Version 1.0.8 August 2010. Retrieved 13/19/2010.

[49] J.-G. B´eliveau. First order formulation of resonance testing. Journal of Sound and Vibration, 65(3):319–327, 1979.

[50] Centre for Integrated RF Engineering (CIRFE) at the University of Waterloo, Water- loo, Ontario, Canada. UW-MEMS Design Handbook, version 2.0 preliminary edition, 2008.

[51] EMCO High Voltage Corporation. Regulated, Programmable 15 Watt HV Modules. [52] APEX Microtechnology Corporation. APEX PA78 Power Operational Amplifer

Datasheet, 2006.

[53] Earthquake Sound, Haywood CA, USA. SWS Installation Reference Guide. [54] Cedrat Technologies, France. Technical Data Sheet: PPA10M, v3.3 edition.

[55] Anthony J. Wheeler and Ahmad R. Ganji. Introduction to Engineering Experimenta- tion. Pearson Education, Inc., second edition, 2004.

APPENDIX A. CODE FOR BASE EXCITATION AND PLOTTING 122

Appendix A

MATLAB Code Implementing the Base

Excitation Algorithm of B´eliveau, et al.,

Plus Additional Code For Plotting

Results

In this appendix, the code implementing the base excitation modal analysis algorithm devel- oped by B´eliveau, et al. [4], and discussed in detail in Chapter 3, is provided. The appendix also contains several functions created to automate plotting of results from both the base ex- citation code and from MACEC. The sections following contain data format conversion in Section A.1, modal parameter identification in Section A.2, and the creation of stabilization plots to identify stable modes in Section A.3.

A.1

Data Format Conversion

The following files convert STAR format uff files produced by the Polytec PSV software into the format required for identification. The commandreaduffis provided by the UFF reading and writing package [48], obtained from the MATLAB Central File Exchange.

The following subsections contain the code that loads the uff file produced by the Poly- tec Scanning Vibrometer software, and extracts the node positions, display information, and FRF data from it.