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Identification of Dynamic Properties of a Fixed-Supported T-Frame Using Experimental Modal Analysis

Year 2025, Volume: 16 Issue: 3, 755 - 762
https://doi.org/10.24012/dumf.1752719

Abstract

This study comparatively investigated the dynamic properties of a fixed-supported T-frame using narrowband and broadband excitation in experimental modal analysis. The aim was to identify vibration modes and assess consistency in modal parameter extraction. Three significant modes (0-500 Hz) were precisely determined for natural frequencies, damping ratios, and mode shapes. Findings showed excellent agreement in natural frequency identification across both methods (differences < 0.15 Hz) and high mode shape correlation via the Modal Assurance Criterion. However, damping ratio estimations revealed notable discrepancies, especially for the first mode, where broadband excitation yielded significantly higher values. This highlights that the excitation method critically influences damping estimations, particularly for lower-frequency modes. In conclusion, while both methods effectively identify natural frequencies and mode shapes, this analysis underscores the sensitivity of damping ratio estimations to the selected excitation approach. The research offers insights into each technique's advantages and limitations in characterizing T-frame dynamic behavior, emphasizing careful interpretation of damping values in experimental modal analysis.

References

  • [1] D. J. Ewins, “Modal Testing: Theory, Practice and Application”, 2nd ed., Baldock, Hertfordshire, England, Philadelphia, PA : Research Studies Press, 2000.
  • [2] A. Shmerling, R. Levy, and A. M. Reinhorn, “Seismic retrofit of frame structures using passive systems based on optimal control,” Structural Control and Health Monitoring, vol. 25, no. 1, May 2017, doi: 10.1002/stc.2038.
  • [3] J. Jang and A. W. Smyth, “Data‐driven models for temperature distribution effects on natural frequencies and thermal prestress modeling,” Structural Control and Health Monitoring, vol. 27, no. 2, Nov. 2019, doi: 10.1002/stc.2489.
  • [4] P. Kulhavý, M. Petrů, and M. Syrovátková, “Possibilities of the Additional Damping of Unidirectional Fiber Composites by Implementation of Viscoelastic Neoprene and Rubber Layers,” Shock and Vibration, vol. 2017, p. 1, Jan. 2017, doi: 10.1155/2017/4163485.
  • [5] M. S. M. Sani, N. A. Nazri, S. N. Zahari, N. A. Abdullah, and G. Priyandoko, “Dynamic Study of Bicycle Frame Structure,” IOP Conference Series Materials Science and Engineering, vol. 160, p. 12009, Nov. 2016, doi: 10.1088/1757-899x/160/1/012009.
  • [6] V. Kastala, “Methods to measure implant stability,” Journal of Dental Implants, vol. 8, no. 1, p. 3, Jan. 2018, doi: 10.4103/jdi.jdi_7_18.
  • [7] C. L. Bacquet and M. I. Hussein, “Dissipation engineering in metamaterials by localized structural dynamics,” arXiv (Cornell University), Jan. 2018, doi: 10.48550/arxiv.1809.04509.
  • [8] M. N. Norwood and R. S. Dow, “Dynamic analysis of ship structures,” Ships and Offshore Structures, vol. 8, p. 270, Mar. 2013, doi: 10.1080/17445302.2012.755285.
  • [9] V. V. Swami, V. Vijayaraghavan, and V. Swami, “Current trends to measure implant stability,” The Journal of Indian Prosthodontic Society, vol. 16, no. 2. p. 124, Jan. 01, 2016. doi: 10.4103/0972-4052.176539.
  • [10] J. Xu, B. Diao, Q. Guo, Y. Ye, Y. L. Mo, and T. Zhou, “Parametric Study on Mixed Torsional Behavior of U-Shaped Thin-Walled RC Girders,” Advances in Civil Engineering, vol. 2018, p. 1, Jan. 2018, doi: 10.1155/2018/3497390.
  • [11] Y. E. Yang and Q. M. Wang, “Study on Dynamics Analysis and Application of Vibration Modal Testing of Suspension Cable Structure Based on MEMS Sensor,” Applied Mechanics and Materials, p. 2149, Oct. 2013, doi: 10.4028/www.scientific.net/amm.448-453.2149.
  • [12] J. Brownjohn et al., “Bayesian operational modal analysis of offshore rock lighthouses: Close modes, alignment, symmetry and uncertainty,” Mechanical Systems and Signal Processing, vol. 133, p. 106306, Aug. 2019, doi: 10.1016/j.ymssp.2019.106306.
  • [13] M. F. Mitroi and A. Chiru, “Determinations regarding the influence on movement and comfort of different elastic suspension structures in N2 type vehicles,” in IOP Conference Series Materials Science and Engineering, IOP Publishing, Dec. 2020, p. 12049. doi: 10.1088/1757-899x/997/1/012049.
  • [14] C. Gavriloaia, C. Corduban, D. N. Isopescu, N. Ţăranu, and M. Budescu, “Calibration of a Wooden Floor Calculation Model Based on the Experimentally Determined Dynamic Characteristics,” Key engineering materials, vol. 601, p. 211, Mar. 2014, doi: 10.4028/www.scientific.net/kem.601.211.
  • [15] Z. C. Ong, E. T. Yap, Z. Ismail, and S. Y. Khoo, “Assessment on Structural Integrity of In-service Machine Using De-noised Vibrational Modal Data and Artificial Neural Network,” MATEC Web of Conferences, vol. 237, p. 3002, Jan. 2018, doi: 10.1051/matecconf/201823703002.
  • [16] P. Liu, B. Tang, and S. Kaewunruen, “Vibration-Induced Pressures on a Cylindrical Structure Surface in Compressible Fluid,” Applied Sciences, vol. 9, no. 7, p. 1403, Apr. 2019, doi: 10.3390/app9071403.
  • [17] E. El-Dardiry and T. Ji, “Modelling of the dynamic behaviour of profiled composite floors,” Engineering Structures, vol. 28, no. 4, p. 567, Oct. 2005, doi: 10.1016/j.engstruct.2005.09.012.
  • [18] E. Stanciu, C.-N. Nitescu, Z.-I. Praisach, and G.-R. Gillich, “Integrity evaluation concerning vibrations of a welded structure,” MATEC Web of Conferences, vol. 112, p. 3015, Jan. 2017, doi: 10.1051/matecconf/201711203015.
  • [19] A. Kovaļovs, S. Ručevskis, P. Akishin, and J. Kolupajevs, “Numerical Investigation on Detection of Prestress Losses in a Prestressed Concrete Slab by Modal Analysis,” in IOP Conference Series Materials Science and Engineering, IOP Publishing, Oct. 2017, p. 12090. doi: 10.1088/1757-899x/251/1/012090.
  • [20] H. Liu, Y. Liu, and Y. Wu, “Numerical analysis and experimental investigation of modal properties for the gearbox in wind turbine,” Frontiers of Mechanical Engineering, vol. 11, no. 1, pp. 72–80, 2016.
  • [21] M. Şen and M. Hüseyinoğlu, “Investigation of the Effects of Polyurethane Foam Reinforcement Thickness on Modal Properties of Sandwich Beams,” Mus Alparslan University Journal of Science, vol. 6, no. 1, pp. 511-517, 2018.
  • [22] G. Pasharavesh, M. T. Ahmadian, and H. Zohoor, “Complex modal analysis and coupled electromechanical simulation of energy harvesting piezoelectric laminated beams,” Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., vol. 233, no. 7, 2019.
  • [23] J. Semm, M. Sellemond, C. Rebelein, and M. F. Zaeh, “Efficient dynamic parameter identification framework for machine tools,” J. Manuf. Sci. Eng., vol. 142, no. 8, art. no. 081003, 2020.
  • [24] B. Scheel, “Nonlinear modal testing of damped structures: Velocity feedback vs. phase resonance,” arXiv:2108.06189, Aug. 2021.
  • [25] G. Sarı, A. F. Ak, A. A. Akış, and E. Aydınoğlu, “Experimental and numerical modal analysis of a bladed rotor,” Dicle Univ. J. Eng. Eng. Sci., vol. 13, no. 1, pp. 57–63, Mar. 2022.
  • [26] T. Qaumi and S. M. Hashemi, “Experimental and numerical modal analysis of a composite rocket structure,” Aerospace, vol. 10, no. 10, p. 867, 2023.
  • [27] R. M. Lin and D. J. Ewins, “Modal updating using FRF data,” in Proc. 15th Int. Sem. Modal Analysis, Leuven, Sep. 1990, pp. 141–162.
  • [28] S. Pradhan and S. V. Modak, “Normal response function method for mass and stiffness matrix updating using complex FRFs,” Mechanical Systems and Signal Processing, vol. 32, pp. 232–250, 2012.
  • [29] J. D. Sipple and M. Sanayei, “Finite element model updating using frequency response functions and numerical sensitivities,” Structural Control and Health Monitoring, vol. 21, pp. 784–802, 2014.
  • [30] H. N. Özgüven, “Structural modifications using frequency response functions,” Mechanical Systems and Signal Processing, vol. 4, pp. 53–63, 1990.
  • [31] M. Huseyinoglu and O. Çakar, “Determination of stiffness modifications to keep certain natural frequencies of a system unchanged after mass modifications,” Archive of Applied Mechanics, vol. 87, no. 10, pp. 1629-1640, 2017.
  • [32] M. Hüseyinoğlu, “A Method for the Assignment of Zeros Using Frequency Response Functions,” Journal of Vibration Engineering & Technologies, vol. 12, no. 4, pp. 6043-6052, 2024.
  • [33] M. Hüseyinoğlu, “A method for substructure decoupling of mechanical systems by using frequency response functions,” Journal of the Brazilian Society of Mechanical Sciences and Engineering, vol. 46, no. 4, p. 248, 2024.
  • [34] M. Şen and O. Çakar, “A new method for reducing the number of resonance frequencies of mechanical systems within a specified frequency range with inverse structural modification and pole-zero cancellation,” Journal of Vibration and Control, vol. 30, no. 17-18, pp. 3985-3996, 2024.
  • [35] M. Şen and O. Çakar, “An efficient method for structural coupling of mechanical systems by using frequency response functions,” Journal of Vibration and Control, vol. 30, no. 3-4, pp. 850–859, 2024.

Identification of Dynamic Properties of a Fixed-Supported T-Frame Using Experimental Modal Analysis

Year 2025, Volume: 16 Issue: 3, 755 - 762
https://doi.org/10.24012/dumf.1752719

Abstract

This study comparatively investigated the dynamic properties of a fixed-supported T-frame using narrowband and broadband excitation in experimental modal analysis. The aim was to identify vibration modes and assess consistency in modal parameter extraction. Three significant modes (0-500 Hz) were precisely determined for natural frequencies, damping ratios, and mode shapes. Findings showed excellent agreement in natural frequency identification across both methods (differences < 0.15 Hz) and high mode shape correlation via the Modal Assurance Criterion. However, damping ratio estimations revealed notable discrepancies, especially for the first mode, where broadband excitation yielded significantly higher values. This highlights that the excitation method critically influences damping estimations, particularly for lower-frequency modes. In conclusion, while both methods effectively identify natural frequencies and mode shapes, this analysis underscores the sensitivity of damping ratio estimations to the selected excitation approach. The research offers insights into each technique's advantages and limitations in characterizing T-frame dynamic behavior, emphasizing careful interpretation of damping values in experimental modal analysis.

References

  • [1] D. J. Ewins, “Modal Testing: Theory, Practice and Application”, 2nd ed., Baldock, Hertfordshire, England, Philadelphia, PA : Research Studies Press, 2000.
  • [2] A. Shmerling, R. Levy, and A. M. Reinhorn, “Seismic retrofit of frame structures using passive systems based on optimal control,” Structural Control and Health Monitoring, vol. 25, no. 1, May 2017, doi: 10.1002/stc.2038.
  • [3] J. Jang and A. W. Smyth, “Data‐driven models for temperature distribution effects on natural frequencies and thermal prestress modeling,” Structural Control and Health Monitoring, vol. 27, no. 2, Nov. 2019, doi: 10.1002/stc.2489.
  • [4] P. Kulhavý, M. Petrů, and M. Syrovátková, “Possibilities of the Additional Damping of Unidirectional Fiber Composites by Implementation of Viscoelastic Neoprene and Rubber Layers,” Shock and Vibration, vol. 2017, p. 1, Jan. 2017, doi: 10.1155/2017/4163485.
  • [5] M. S. M. Sani, N. A. Nazri, S. N. Zahari, N. A. Abdullah, and G. Priyandoko, “Dynamic Study of Bicycle Frame Structure,” IOP Conference Series Materials Science and Engineering, vol. 160, p. 12009, Nov. 2016, doi: 10.1088/1757-899x/160/1/012009.
  • [6] V. Kastala, “Methods to measure implant stability,” Journal of Dental Implants, vol. 8, no. 1, p. 3, Jan. 2018, doi: 10.4103/jdi.jdi_7_18.
  • [7] C. L. Bacquet and M. I. Hussein, “Dissipation engineering in metamaterials by localized structural dynamics,” arXiv (Cornell University), Jan. 2018, doi: 10.48550/arxiv.1809.04509.
  • [8] M. N. Norwood and R. S. Dow, “Dynamic analysis of ship structures,” Ships and Offshore Structures, vol. 8, p. 270, Mar. 2013, doi: 10.1080/17445302.2012.755285.
  • [9] V. V. Swami, V. Vijayaraghavan, and V. Swami, “Current trends to measure implant stability,” The Journal of Indian Prosthodontic Society, vol. 16, no. 2. p. 124, Jan. 01, 2016. doi: 10.4103/0972-4052.176539.
  • [10] J. Xu, B. Diao, Q. Guo, Y. Ye, Y. L. Mo, and T. Zhou, “Parametric Study on Mixed Torsional Behavior of U-Shaped Thin-Walled RC Girders,” Advances in Civil Engineering, vol. 2018, p. 1, Jan. 2018, doi: 10.1155/2018/3497390.
  • [11] Y. E. Yang and Q. M. Wang, “Study on Dynamics Analysis and Application of Vibration Modal Testing of Suspension Cable Structure Based on MEMS Sensor,” Applied Mechanics and Materials, p. 2149, Oct. 2013, doi: 10.4028/www.scientific.net/amm.448-453.2149.
  • [12] J. Brownjohn et al., “Bayesian operational modal analysis of offshore rock lighthouses: Close modes, alignment, symmetry and uncertainty,” Mechanical Systems and Signal Processing, vol. 133, p. 106306, Aug. 2019, doi: 10.1016/j.ymssp.2019.106306.
  • [13] M. F. Mitroi and A. Chiru, “Determinations regarding the influence on movement and comfort of different elastic suspension structures in N2 type vehicles,” in IOP Conference Series Materials Science and Engineering, IOP Publishing, Dec. 2020, p. 12049. doi: 10.1088/1757-899x/997/1/012049.
  • [14] C. Gavriloaia, C. Corduban, D. N. Isopescu, N. Ţăranu, and M. Budescu, “Calibration of a Wooden Floor Calculation Model Based on the Experimentally Determined Dynamic Characteristics,” Key engineering materials, vol. 601, p. 211, Mar. 2014, doi: 10.4028/www.scientific.net/kem.601.211.
  • [15] Z. C. Ong, E. T. Yap, Z. Ismail, and S. Y. Khoo, “Assessment on Structural Integrity of In-service Machine Using De-noised Vibrational Modal Data and Artificial Neural Network,” MATEC Web of Conferences, vol. 237, p. 3002, Jan. 2018, doi: 10.1051/matecconf/201823703002.
  • [16] P. Liu, B. Tang, and S. Kaewunruen, “Vibration-Induced Pressures on a Cylindrical Structure Surface in Compressible Fluid,” Applied Sciences, vol. 9, no. 7, p. 1403, Apr. 2019, doi: 10.3390/app9071403.
  • [17] E. El-Dardiry and T. Ji, “Modelling of the dynamic behaviour of profiled composite floors,” Engineering Structures, vol. 28, no. 4, p. 567, Oct. 2005, doi: 10.1016/j.engstruct.2005.09.012.
  • [18] E. Stanciu, C.-N. Nitescu, Z.-I. Praisach, and G.-R. Gillich, “Integrity evaluation concerning vibrations of a welded structure,” MATEC Web of Conferences, vol. 112, p. 3015, Jan. 2017, doi: 10.1051/matecconf/201711203015.
  • [19] A. Kovaļovs, S. Ručevskis, P. Akishin, and J. Kolupajevs, “Numerical Investigation on Detection of Prestress Losses in a Prestressed Concrete Slab by Modal Analysis,” in IOP Conference Series Materials Science and Engineering, IOP Publishing, Oct. 2017, p. 12090. doi: 10.1088/1757-899x/251/1/012090.
  • [20] H. Liu, Y. Liu, and Y. Wu, “Numerical analysis and experimental investigation of modal properties for the gearbox in wind turbine,” Frontiers of Mechanical Engineering, vol. 11, no. 1, pp. 72–80, 2016.
  • [21] M. Şen and M. Hüseyinoğlu, “Investigation of the Effects of Polyurethane Foam Reinforcement Thickness on Modal Properties of Sandwich Beams,” Mus Alparslan University Journal of Science, vol. 6, no. 1, pp. 511-517, 2018.
  • [22] G. Pasharavesh, M. T. Ahmadian, and H. Zohoor, “Complex modal analysis and coupled electromechanical simulation of energy harvesting piezoelectric laminated beams,” Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., vol. 233, no. 7, 2019.
  • [23] J. Semm, M. Sellemond, C. Rebelein, and M. F. Zaeh, “Efficient dynamic parameter identification framework for machine tools,” J. Manuf. Sci. Eng., vol. 142, no. 8, art. no. 081003, 2020.
  • [24] B. Scheel, “Nonlinear modal testing of damped structures: Velocity feedback vs. phase resonance,” arXiv:2108.06189, Aug. 2021.
  • [25] G. Sarı, A. F. Ak, A. A. Akış, and E. Aydınoğlu, “Experimental and numerical modal analysis of a bladed rotor,” Dicle Univ. J. Eng. Eng. Sci., vol. 13, no. 1, pp. 57–63, Mar. 2022.
  • [26] T. Qaumi and S. M. Hashemi, “Experimental and numerical modal analysis of a composite rocket structure,” Aerospace, vol. 10, no. 10, p. 867, 2023.
  • [27] R. M. Lin and D. J. Ewins, “Modal updating using FRF data,” in Proc. 15th Int. Sem. Modal Analysis, Leuven, Sep. 1990, pp. 141–162.
  • [28] S. Pradhan and S. V. Modak, “Normal response function method for mass and stiffness matrix updating using complex FRFs,” Mechanical Systems and Signal Processing, vol. 32, pp. 232–250, 2012.
  • [29] J. D. Sipple and M. Sanayei, “Finite element model updating using frequency response functions and numerical sensitivities,” Structural Control and Health Monitoring, vol. 21, pp. 784–802, 2014.
  • [30] H. N. Özgüven, “Structural modifications using frequency response functions,” Mechanical Systems and Signal Processing, vol. 4, pp. 53–63, 1990.
  • [31] M. Huseyinoglu and O. Çakar, “Determination of stiffness modifications to keep certain natural frequencies of a system unchanged after mass modifications,” Archive of Applied Mechanics, vol. 87, no. 10, pp. 1629-1640, 2017.
  • [32] M. Hüseyinoğlu, “A Method for the Assignment of Zeros Using Frequency Response Functions,” Journal of Vibration Engineering & Technologies, vol. 12, no. 4, pp. 6043-6052, 2024.
  • [33] M. Hüseyinoğlu, “A method for substructure decoupling of mechanical systems by using frequency response functions,” Journal of the Brazilian Society of Mechanical Sciences and Engineering, vol. 46, no. 4, p. 248, 2024.
  • [34] M. Şen and O. Çakar, “A new method for reducing the number of resonance frequencies of mechanical systems within a specified frequency range with inverse structural modification and pole-zero cancellation,” Journal of Vibration and Control, vol. 30, no. 17-18, pp. 3985-3996, 2024.
  • [35] M. Şen and O. Çakar, “An efficient method for structural coupling of mechanical systems by using frequency response functions,” Journal of Vibration and Control, vol. 30, no. 3-4, pp. 850–859, 2024.
There are 35 citations in total.

Details

Primary Language English
Subjects Dynamics, Vibration and Vibration Control, Machine Theory and Dynamics
Journal Section Articles
Authors

Ali Osman Yaşa 0009-0007-0104-0281

Mesut Hüseyinoğlu 0000-0002-6130-6658

Early Pub Date September 30, 2025
Publication Date October 7, 2025
Submission Date July 28, 2025
Acceptance Date August 26, 2025
Published in Issue Year 2025 Volume: 16 Issue: 3

Cite

IEEE A. O. Yaşa and M. Hüseyinoğlu, “Identification of Dynamic Properties of a Fixed-Supported T-Frame Using Experimental Modal Analysis”, DUJE, vol. 16, no. 3, pp. 755–762, 2025, doi: 10.24012/dumf.1752719.