ANALYSIS OF NATURAL FREQUENCIES FOR EARLY DAMAGE DETECTION IN CFRP SHAFTS USING RSM-BASED FREQUENCY CONTOUR PLOTS

Year 2023, Volume: 7 Issue: 3, 532 - 540, 31.12.2023

Eser Yarar

https://doi.org/10.46519/ij3dptdi.1361809

Abstract

This study explores early damage detection in carbon fiber-reinforced polymer shafts by analyzing natural frequencies. Modern engineering components often face increased flexibility and high stress levels, leading to cracks in rotating parts, which can result in premature failures. To address this issue, modal analysis, specifically natural frequency analysis, is employed to identify deviations caused by cracks. Cracks alter stiffness and mass distribution, leading to shifts in natural frequencies. The study employs finite element models to simulate various crack locations and depths, normalizing them with respect to shaft diameter and length. A cantilever shaft configuration is utilized with refined mesh structures near the transverse crack. The analysis leverages the frequency contour method with response surface methodology to visualize how crack depth and location influence normalized natural frequencies. Results indicate that crack depth has a significant impact on natural frequencies, while crack location has a subtler effect. Combining depth and location produces the most pronounced frequency variations. The corresponding R² values for the normalized first and third natural frequencies are 95.69% and 96.32%, while for the normalized second natural frequency this value is 75.70%. The study also demonstrates the use of frequency contour curves for accurate crack detection, with the 1st and 3rd natural frequencies being reliable indicators.

Keywords

CFRP shafts, Natural frequency analysis, Crack detection, Finite element modeling, Frequency contour method

References

• 1. Chang CY, Chang MY, Huang JH. Vibration analysis of rotating composite shafts containing randomly oriented reinforcements. Compos Struct Vol. 63, Issue 1, Pages 21–32, 2004.
• 2. Henry TC, Riddick JC, Mills BT, Habtour EM. Composite driveshaft prototype design and survivability testing. J Compos Mater Vol. 51, Issue 16, Pages 2377-2386, 2017.
• 3. Badie MA, Mahdi E, Hamouda AMS. An investigation into hybrid carbon/glass fiber reinforced epoxy composite automotive drive shaft. Mater Des, Vol. 32, Issue 3, Pages 1485-1500, 2011.
• 4. Rastogi N. Design of composite driveshafts for automotive applications. SAE Tech Pap, 2004-01-0485, 2004.
• 5. Green I, Casey C. Crack detection in a rotor dynamic system by vibration monitoring - Part I: Analysis. J Eng Gas Turbines Power, Vol. 127, Pages 425–436, 2005.
• 6. Gómez MJ, Castejón C, Corral E, García-Prada JC. Analysis of the influence of crack location for diagnosis in rotating shafts based on 3 x energy. Mech Mach Theory Vol. 103, Pages 167–173, 2016.
• 7. Jain AK, Rastogi V, Agrawal AK. Experimental Investigation of Vibration Analysis of Multi-Crack Rotor Shaft. Procedia Eng, Vol. 144, Pages 1451–1458, 2016.
• 8. Bovsunovsky AP. Efficiency analysis of vibration based crack diagnostics in rotating shafts. Eng Fract Mech Vol. 173, Pages 118–129, 2017.
• 9. Ramesh Babu T, Sekhar AS. Detection of two cracks in a rotor-bearing system using amplitude deviation curve. J Sound Vib Vol. 314, Issue 3-5, Pages 457–464, 2008.
• 10. Tlaisi A, Swamidas ASJ, Haddara MR, Akinturk A. Modeling and calibration for crack detection in circular shafts supported on bearings using lateral and torsional vibration measurements. Adv Mech Eng Vol. 4, Pages 519471, 2012
• 11. Long H, Liu Y, Liu K. Nonlinear vibration analysis of a beam with a breathing crack. Appl Sci Vol. 9, Issue 18, Pages 3874, 2019.
• 12. Huang Q, Yan X, Wang Y, Zhang C, Wang Z. Numerical modeling and experimental analysis on coupled torsional-longitudinal vibrations of a ship’s propeller shaft. Ocean Eng Vol. 136, Pages 272–282, 2017.
• 13. Maynard K, Trethewey M. Blade and shaft crack detection using torsional vibration measurements Part 3: Field application demonstrations. Noise Vib Worldw Vol. 32, Issue 11, Pages 16–23, 2001.
• 14. Tlaisi AA, Akinturk A, Swamidas AS, Haddara MR. Crack Detection in Shaft Using Lateral and Torsional Vibration Measurements and Analyses. Mech Eng Res, Vol. 2, Pages 52–76, 2012.
• 15. Banerjee A, Panigrahi B, Pohit G. Crack modelling and detection in Timoshenko FGM beam under transverse vibration using frequency contour and response surface model with GA. Nondestruct Test Eval, Vol. 31, Issue 2, Pages 142–164, 2016.
• 16. Ergene B. Çatlak Deri̇nli̇ği̇ni̇n Ve Fi̇ber Açisinin Karbon Fi̇ber Takvi̇yeli̇ Poli̇mer Kompozit Ki̇ri̇şi̇ Ti̇treşi̇m Davranişi Etki̇si̇ni̇n Sonlu Elemanlar Anali̇zi̇Yöntemi̇ ile Beli̇rlenmesi̇. Int J 3D Print Technol Digit Ind, Cilt 5, Sayfa 120–129, 2021.
• 17. Cunedioğlu Y. Çatlaklı Ankastre Sandviç Kirişlerin Serbest Titreşim Analizi. Niğde Ömer Halisdemir University Journal of Engineering Sciences, Cilt 11, Sayı 4, Sayfa 1138–1145, 2022.
• 18. Owolabi GM, Swamidas ASJ, Seshadri R. Crack detection in beams using changes in frequencies and amplitudes of frequency response functions. J Sound Vib, Vol. 265, Pages 1–22, 2003.