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Journal of Vibration Testing and System Dynamics

C. Steve Suh (editor), Pawel Olejnik (editor),

Xianguo Tuo (editor)

Pawel Olejnik (editor)

Lodz University of Technology, Poland


C. Steve Suh (editor)

Texas A&M University, USA


Xiangguo Tuo (editor)

Sichuan University of Science and Engineering, China


Advances in Modal Analysis Application

Journal of Vibration Testing and System Dynamics 1(2) (2017) 153--166 | DOI:10.5890/JVTSD.2017.06.004

Ahmed El-Khatib; M.G.A. Nassef

Production Engineering Department, Alexandria University, 21544 Alexandria, Egypt

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Realization of modal analysis in a wide spectrum of applications has been established since decades. The dynamic characteristics obtained from analytical and experimental modal analysis helped researchers as well as engineers to determine the dynamic behavior of structures and assemblies. Extensive research work is given to the detection and evaluation of damages in mechanical structures using knowledge of modal frequencies and mode shapes. The fact that the dynamic characteristics thus obtained, are influenced by the structure’s physical and mechanical properties has inspired many researchers, recently to use modal analysis as a tool for the identification of mechanical properties and remaining life prediction of manufactured components. It is not the intention of the authors in this paper to investigate the knowhow of each of the applications mentioned within the scope of the paper; since the reader can obtain detailed information of most of the applications from the respective references written at the end of this paper. The main objective of this paper, is to summarize different important applications of modal analysis and classify these applications into three main categories; quality assessment, material characterization, and life prediction. The work also describes what has been studied in each category and provides an insight for researchers on what still needs to be achieved. Accordingly; the authors introduce a new application that will revolutionize the basis on which engineering design is traditionally used, by the fact that it is better testing the product instead of testing the material from which the product will be made. This new philosophy is currently worked upon by the authors.


  1. [1]  Ahmed, F. and Kandagal, S.B. (2016), Modal Identification of Aircraft Wing Coupled Heave-Pitch Modes Using Wavelet Packet Decomposition and Logarithmic Decrement, Procedia Engineering, 144, 435-443.
  2. [2]  Hui Cai, et al. (2015), A Method for Identification of Machine-tool Dynamics under Machining, Proc. 15th CIRP Conference on Modelling of Machining Operations (15th CMMO), Procedia CIRP, 31, 502-507.
  3. [3]  Zaghbani, I. and Songmene, V. (2009), Estimation of machine-tool dynamic parameters during machining operation through operational modal analysis, International Journal of Machine Tools and Manufacture, 49(12-13), 947-957.
  4. [4]  Özşhin, O. and Altintas, Y. (2015), Prediction of frequency response function (FRF) of asymmetric tools from the analytical coupling of spindle and beam models of holder and tool, International Journal of Machine Tools and Manufacture, 92, 31-40.
  5. [5]  Yamaguchi, T., Kurosawab, Y., and Enomoto, H. (2009), Damped vibration analysis using finite element method with approximated modal damping for automotive double walls with a porous material, Journal of Sound and Vibration, 325(1-2), 436-450.
  6. [6]  Chang, K.C. and Kim, C.W. (2016), Modal-parameter identification and vibration-based damage detection of a damaged steel truss bridge, Engineering Structures, 122(1), 156-173.
  7. [7]  Samami, H. and Jingzhe, P. (2016), Detection of degradation in polyester implants by analysing mode shapes of structure vibration, Journal of the Mechanical Behavior of Biomedical Materials, 62, 299-309.
  8. [8]  Harris, C.M. (2010), Shock and Vibration Handbook, 6th ed., Allan G. Piersol ND Thomas L. Paez: McGraw- Hill Inc., 21.1-21.42.
  9. [9]  Chen, C.Y. and Cheng, C.C. (2005), Integrated design for a mechatronic feed drive system of machine tools, Proc. IEEE/ASME International Conference on Advanced Intelligent Mechatronics USA, 588-593.
  10. [10]  Ellis, G. (2016), Control System Design Guide - Using Your Computer to Understand and Diagnose Feedback Controllers, 3rd ed., Butterworth-Heinemann, Chapter 16.
  11. [11]  Olarra, A., Ruiz de Argandoña, I., and Uriarte, L. (2009), Machine Tools for High Performance Machining, Lopez de Lacalle, Norberto, Lamikiz Mentxaka, Aitzol, Springer-Verlag London Limited, Chapter 4, 129-131.
  12. [12]  Bratland, M., Haugen, B., and Rolvag, T. (2011), Modal Analysis of Active Flexible Multibody Systems, Computers and Structures, 89(9-10), 750-761.
  13. [13]  Walter, S. (2011), Introduction to Modal Analysis. Ph.D. thesis, HAW Hamburg Fakultaet Technik und Informatik, Department Maschinenbau und Produktion.
  14. [14]  Agilent Technologies (2005), Innovating the HP way: The Fundamentals of Modal Testing Application Note 243 - 3, The modal shop Inc., Chapter 2, 16-17. [accessed 08.12.2016].
  15. [15]  Zhang, L., Brincker, R., and Andersen, P. (2005), An Overview of Operational Modal Analysis: Major Development and Issues, Proc. 1st International Operational Modal Analysis Conference, Copenhagen, Denmark, 179-190.
  16. [16]  Seung-Seop Jina, Soojin Chob, and Hyung-Jo Jung (2015), Adaptive reference updating for vibration-based structural health monitoring under varying environmental conditions, Computers & Structures, 158, 211-224.
  17. [17]  Wang, T., Celikb,O., Catbasb, F.N., and Zhang, L.M. (2016), A frequency and spatial domain decomposition method for operational strain modal analysis and its application, Engineering Structures, 114, 104-112.
  18. [18]  Herlufsen H. and Moller, N. (2002), Application Note: Operational Modal Analysis of a Wind Turbine Wing using Acoustical Excitation, Bruel & Kjaer, Denmark, BO 0500-11.
  19. [19]  Devriendt, C., Steenackers, G., Gert De Sitter, and Guillaume, P. (2010), From operating deflection shapes towards mode shapes using transmissibility measurements, Mechanical Systems and Signal Processing, 24(3), 665-677.
  20. [20]  Schwarz, B.J. and Richardson, M.H. (1999), Introduction to Operating Deflection Shapes, CSI Reliability Week, Orlando, Florida, USA.
  21. [21]  Schuh, G., Klocke, F., Brecher, C., and Schmitt, R. (2007), Excellence in Production, 1st ed, Apprimus Verlag, Aachen.
  22. [22]  Brecher, C. and Özdemir, D. (2014), Advances in Production Technology - Lecture Notes in Production Engineering, C. Becher, Springer International Publishing AG, 1-7.
  23. [23]  Jolly, M.R. (2015), Review of Non-destructive Testing (NDT) Techniques and their Applicability to Thick Walled Composites, Procedia CIRP, 38, 129-136.
  24. [24]  Ramos, A., et al. (2015), On limitations of the ultrasonic characterization of pieces manufactured with highly attenuating materials, Physics Procedia, 63, 152-157.
  25. [25]  Malcolm, K.L. and Cao, H.(2013), Combining multiple NDT methods to improve testing effectiveness, Con- struction and Building Materials, 38, 1310-1315.
  26. [26]  Doebling, S.W., Farrar, C., Prime, M.B., and Shevitz, D.W. (1996), Damage Identification and Health Monitoring of Structural and Mechanical Systems from Changes in their Vibration Characteristics: A Literature Review, Los Alamos National Laboratory report, (LA-13070-MS).
  27. [27]  Fan, W. and Qiao, P.Z. (2011), Vibration-Based Damage Identification Methods: A Review and Comparative Study, Structure Health Monitoring, 8, 83-111.
  28. [28]  Alvandi, A. and Cremona, C. (2006), Assessment of vibration-based damage identification techniques, Journal of Sound and Vibration, 292(1-2), 179-202.
  29. [29]  Quasar International, Inc: Using Quasar Resonant Inspection in a Production Environment, available from: [accessed 11.13.2016].
  30. [30]  Kim, H.Y. (2003), Vibration-based Damage Identification Using Reconstructed FRF in Composite Structures, Journal of Sound and Vibration, 259(5), 1131-1146.
  31. [31]  Kessler, S.S., Spearinga, S.M., Atallaa, M.J., Cesnika, C.E.S, and Soutis, C. (2002), Damage detection in composite materials using frequency response methods, Composites: B, 33, 87-95.
  32. [32]  Liu, D., Gurgenci, H., and Veidt, M.(2003), Crack detection in hollow section structures through coupled response measurements, Journal of Sound and Vibration, 261, 17-29.
  33. [33]  Hakim, S.J.S., Abdul Razak, H., and Ravanfar, S.A. (2015), Fault Diagnosis on Beam-like Structures from Modal Parameters using Artificial Neural Networks, Measurement, 76, 45-61.
  34. [34]  Mohamed N.H., Siregar, R.A., Hariharan, M., and Mat, F. (2009), Artificial Neural Network for the Classification of Steel Hollow pipe, Proc. of International Conference on Applications and Design in Mechanical Engineering (ICADME), Batu Ferringhi, Penang, Malaysia, 9B1-9B4.
  35. [35]  Kazemi, S., Fooladi, A., and Rahai, A.R. (2010), Implementation of the modal flexibility variation to fault identification in thin plates, Acta Astronautica, 66, 414-426.
  36. [36]  Kazemi, S., Rahai, A.R., Daneshmand, F., and Fooladi, A. (2011), Implementation of modal flexibility variation method and genetically trained ANNs in fault identification, Ocean Engineering, 38, 774-781.
  37. [37]  Sadeh, J., Bakhshizadeh, E., and Kazemzadeh, R. (2013), A new fault location algorithm for radial distribution systems using modal analysis, Electrical Power and Energy Systems, 45, 271-278.
  38. [38]  Yesilyurt, I., Gub, F., and Ball, A.D. (2003), Gear tooth stiffness reduction measurement using modal analysis and its use in wear fault severity assessment of spur gears, NDT&E International, 36, 357-372.
  39. [39]  Sol, H., Lauwagie, H., and Guillaume, P. (2002), Identification of Distributed Material Properties using measured Modal Data, Proc. International conference on noise and vibration engineering (ISMA), Belgium, 695-704.
  40. [40]  Katunin, A. (2015), Stone impact damage identification in composite plates using modal data and quincunx wavelet analysis, Archives of Civil and Mechanical Engineering, 152(1), 251-261.
  41. [41]  Mizokami, S., et al. (2007), Monitoring Service Performance of a ROPAX Ferry, Mitsubishi Heavy Industries, Ltd., Technical Review, 44(3), 1-6.
  42. [42]  Isermann, R. (2011), Fault Diagnosis Applications: Model-Based Condition Monitoring:Actuators, Drives, Machinery, Plants, Sensors, and Fault-tolerant Systems, Springer-Verlag Berlin Heidelberg, 24-30.
  43. [43]  Murawski, L. and Charchalis, (2014), Simplified method of torsional vibration calculation of marine power transmission system, Marine Structure, 39, 335-349.
  44. [44]  Wang, W., Hussin, B., and Jefferis, T. (2012), A case study of condition based maintenance modelling based upon the oil analysis data of marine diesel engines using stochastic filtering, International Journal of Production Economics, 136(1), 84-92.
  45. [45]  Murphy, A.J., Norman, A.J., Pazouki, K., and Trodden, D.G. (2015), Thermodynamic simulation for the investigation of marine Diesel engines, Ocean Engineering, 102, 117-128.
  46. [46]  De Azevedo, H.D.M., Araújo, A.M., and Bouchonneau, N. (2016), A review of wind turbine bearing condition monitoring: State of the art and challenges, Renewable and Sustainable Energy Reviews, 56, 368-379.
  47. [47]  Hazana, A., Lacailleb, J., and Madani, K. (2012), Extreme value statistics for vibration spectra outlier detection, International Conference on Condition Monitoring and Machinery Failure Prevention Technologies, UK, 1-9.
  48. [48]  Igbaa, J., Alemzadeha, K., Durugbob, C., and Eiriksson, E.T. (2016), Analysing RMS and peak values of vibration signals for condition monitoring of wind turbine gearboxes, Renewable Energy, 91, 90–106.
  49. [49]  Murawski, L., and Charchalis, A. (2014), Simplified method of torsional vibration calculation of marine power transmission system, Marine Structure, 39, 335-349.
  50. [50]  Neu E, et al. (2017), Fully Automated Operational Modal Analysis using multi-stage clustering, Mechanical Systems and Signal Processing, 84(A), 308-323.
  51. [51]  Srinivasan, P. (1982), Mechanical Vibration Analysis, Indian Institute of Science, Tata New Delhi, McGraw- Hill Publishing Company Ltd., 349-361.
  52. [52]  ASTM E1876-15, Standard Test Method for Dynamic Young’s Modulus, Shear Modulus, and Poisson’s Ratio by Impulse Excitation of Vibration.
  53. [53]  Wallace, M. and Bert, C. (1979), Experimental Determination of Dynamic Young’s Modulus and Damping of an Aramid-Fabric/Polyester Composite Material, Proc. Oklahoma Academic Science, 59, 98-101.
  54. [54]  Aruleswaran, A., Balkwill, J., and Morrey, D. (2001), Dynamic Behavior of a Structure Featuring Adhesive Bonded Joint, proc. 19th International Modal Analysis Conference (IMAC XIX), 238-244.
  55. [55]  Totoev, Y.Z. and Nichols, J.M. (1997), A Comparative Experimental Study of the Modulus of Elasticity of Bricks and Masonry, 11thInternational brick block masonry conference, Tongji University, shanghai, china, 30-39.
  56. [56]  Gibson, R.F. (2002), Modal vibration response measurements for characterization of composite materials and structures, Composites Science and Technology, 2769-2780.
  57. [57]  Zhiheng Wang, et al. (2015), A new dynamic testing method for elastic, shear modulus and Poisson’s ratio of concrete, Construction and Building Materials, 100, 129-135.
  58. [58]  Mansour, G., Tsongas, K., and Tzetzis, D. (2016), Modal testing of nano composite materials through an optimization algorithm, Measurement, 91, 31-38.
  59. [59]  Lopez-Puerto, A., Aviles, F., Gamboa, F., and Oliva, A.I. (2014), A vibrational approach to determine the elastic modulus of individual thin films in multilayers, Thin Solid Films, 565, 228-236.
  60. [60]  El-Labban, H., Abdelaziz, M., Yakout, M., and Elkhatib, A., (2013), Prediction of Mechanical Properties of Nano-Composites Using Vibration Modal Analysis: Application to Aluminum Piston Alloys, Materials Performance and Characterization, 2(1), 454-467.
  61. [61]  Nassef, M.G.A, Elkhatib, A., and Hamed, H. (2015), Correlating the Vibration Modal Analysis Parameters to the Material Impact Toughness for Austempered Ductile Iron, Materials Performance and Characterization, 4(1), 61-72.
  62. [62]  Nassef,M.G.A, Elkhatib, A., and Hamed, H. (2009), The Use ofModal Analysis to Predict Residual Stresses in Hardened Steel, Proc. Production Engineering Design and Automation Conference (PEDAC’09), Alexandria, Egypt, 7-16.
  63. [63]  Jun, J.H., Lee, Y.K., and Choi, C.S. (2002), Damping mechanisms of Fe-Mn alloy with (g + ) dual phase structure, Materials Science and Technology, 16(4), 389-392.
  64. [64]  Damir, A.N., Elkhatib, A., and Nassef, G.A. (2007), Prediction of fatigue life using modal analysis for grey and ductile cast iron, International Journal of Fatigue, 29, 499-507.
  65. [65]  Eltobgy (2002), The Use of Modal Analysis as a Non Destructive Testing Tool for Predicting Fatigue Life of Components and Structures, M.Sc. Thesis, Production Engineering Department, Alexandria University, Egypt, pp. 95-96.
  66. [66]  Abo-Elkhier, M., Hamada, A.A., and Bahei El-Deen, A. (2014), Prediction of fatigue life of glass fiber reinforced polyester composites using modal testing, International Journal of Fatigue, 69, 28-35.
  67. [67]  Zaretsky, E.V., Poplawski, J.V., and Miller, C.R. (2000), Rolling Bearing Life Prediction-Past, Present, and Future, Technical Memorandum NASA TM-2000-210529.
  68. [68]  Oswald, F.B., Zaretsky, E.V., and Poplawski, J.V. (2012), Effect of Internal Clearance on Load Distribution and Life of Radially Loaded Ball and Roller Bearings, Technical Memorandum NASA TM-2012-217115.
  69. [69]  Zaretsky E.V. (1997), A. Palmgren Revisited-A Basis for Bearing Life Prediction, Technical Memorandum NASA TM-107440.
  70. [70]  Elkhatib, A. (2002), Rolling Element Bearing Acceptance and Life Testing (BAT). UK Patent # GB 0219584.0.