Jagpaul, Puneet 
ORCID: https://orcid.org/0000-0002-6026-9664
(2021)
Free Vibration Analyses of Stationary and
Rotating Tapered Composite Beams
with Delamination.
Masters thesis, Concordia University.
Preview |
Text (application/pdf)
10MBJagpaul_MA_S2021.pdf - Accepted Version |
Abstract
ABSTRACT
Free Vibration Analyses of Stationary and Rotating Tapered Composite Beams with Delamination
Puneet Jagpaul
The exceptional engineering properties and customizability of the laminated composites have enabled their use in the design of the stationary and rotating tapered structures in the aerospace and energy sectors. The tailoring capabilities of the composite material can be used to stiffen the structure at one location while being flexible at other location and consequently reduce the weight, as required in specific applications such as helicopter rotor blade, windmill blade and turbine blade. The vibration characteristics (natural frequencies and mode shapes) of the stationary and rotating structures differ substantially and must be well identified in the design stage. The composite structures are prone to failures such as delamination and fiber-matrix debonding caused during their fabrication or in service, especially when used as blades and beams in various stationary and rotating applications. Delamination reduces the overall stiffness and the strength of the laminates, which may lead to local or sudden structural failures. The delaminated structure has reduced natural frequencies and exhibits different mode shapes than that of the intact structure.
In the present thesis, the free vibration analyses of stationary and rotating tapered composite beams with delamination are conducted. The influence of the delamination on the vibration characteristics of the stationary and rotating tapered composite beams is comprehensively studied. The Finite Element Analysis tool ANSYS® is used to develop three-dimensional models of the intact and delaminated composite beams. The natural frequencies of the stationary and rotating intact cantilever composite beams are determined for uniform, thickness-tapered and doubly tapered beam profiles using modal analysis and the results are compared with the results available in the literature. The Mode-I and Mode-II delamination tests are performed on the numerical models of the double cantilever beam and end notch flexure test samples based on cohesive zone modeling and the results of the tests are verified with the available results. The critically stressed locations prone to delamination in the stationary and rotating composite beams are determined using the first-ply failure analyses based on Tsai-Wu failure criterion. The free vibration responses of the stationary and rotating composite beams with end and mid-span delaminations of different lengths and with different stacking sequences are obtained and they are verified wherever possible. The delamination length that has minimal effect on the first three natural frequencies of the uniform and thickness-tapered composite beams is determined and is found to be 5% of the total beam length. Higher modes should be investigated for the composite structures with smaller delamination. A basis for the non-destructive evaluation is suggested for the stationary thickness-tapered simply supported composite beams with end and mid-span delaminations. The influences of the delamination length, delamination location, fiber orientation angle, thickness-tapering, double tapering, layer reduction and taper angle on the free vibration response of the stationary and rotating delaminated composite beams are investigated for uniform, thickness-tapered and doubly tapered beam profiles through various parametric studies. The influences of the rotational velocity and hub radius on the natural frequencies of the rotating doubly tapered composite beams with delamination are thoroughly examined. The present thesis contributes towards the safe design of the composite structures. The studies performed are helpful for developing delamination detection techniques based on the free vibration response of tapered composite beams and can aid designers to model optimised tapered composite structures by considering the influences of delamination on their vibrational characteristics.
| Divisions: | Concordia University > Gina Cody School of Engineering and Computer Science > Mechanical, Industrial and Aerospace Engineering |
|---|---|
| Item Type: | Thesis (Masters) |
| Authors: | Jagpaul, Puneet |
| Institution: | Concordia University |
| Degree Name: | M.A. Sc. |
| Program: | Mechanical Engineering |
| Date: | 15 March 2021 |
| Thesis Supervisor(s): | Ganesan, Rajamohan |
| ID Code: | 988288 |
| Deposited By: | Puneet Jagpaul |
| Deposited On: | 29 Jun 2021 21:11 |
| Last Modified: | 20 Apr 2023 00:00 |
References:
References[1] D. A. Peters, “An Approximate Solution for the Free Vibrations of Rotating Uniform Cantilever Beams”, NASA Ames Research Center Moffett Field, 1973.
(Source- https://ntrs.nasa.gov/citations/19780025346)
[2] W. Boyce, E. William and G. Handelman, “Vibrations of Rotating Beams with Tip Mass”, Zeitschrift für angewandte Mathematik und Physik ZAMP, Vol. 12, pp. 369-392, 1961.
(Source- https://link.springer.com/content/pdf/10.1007/BF01600687.pdf)
[3] S. Putter and H. Manor, “Natural Frequencies of Radial Rotating Beams”, Journal of Sound and Vibration, Vol. 56, pp. 175-185. 1978.
(Source - https://doi.org/10.1016/S0022-460X(78)80013-3)
[4] H.H. Yoo, S.H. Lee and S.H. Shin, “Flap Wise Bending Vibration Analysis of Rotating Multi-Layered Composite Beams”, Journal of Sound and Vibration, Vol. 286, pp. 745–761, 2005.
[5] C. Kuo and S. Lin, “Modal Analysis and Control of a Rotating Euler-Bernoulli Beam Part I: Control System Analysis and Controller Design”, Mathematical and Computer Modelling, Vol. 27, No. 5, pp.75-92, 1998.
[6] T. Aksencer and M. Aydogdu, “Flapwise Vibration of Rotating Composite Beams”, Composite Structures, Vol. 134, pp. 672–679, 2015.
[7] R. Chandra and I. Chopra, “Experimental-Theoretical Investigation of the Vibration Characteristics of Rotating Composite Box Beams”, Journal of Aircraft, Vol. 29, No.4, pp. 657-664, 1992.
[8] Y. Qin, X. Li, E.C. Yang and Y.H. Li, “Flapwise Free Vibration Characteristics of a Rotating Composite Thin-Walled Beam under Aerodynamic Force and Hygrothermal Environment”, Composite Structures, Vol. 153, pp. 490-503, 2016.
[9] E. Carrera, M. Filippi and E. Zappino, “Free Vibration Analysis of Rotating Composite Blades
via Carrera Unified Formulation”, Composite Structures, Vol. 106, pp. 317–325, 2013.
[10] M.L. Pavankishore and R.K. Behera, “Determination of Optimal Stacking Sequence for Modal Characteristics Evaluation of Composite Marine Propeller Blade”, Journal of Mechanical Design and Vibration, Vol. 2, No. 4, pp. 94-101, 2014.
[11] S. Seraj, “Free Vibration and Dynamic Instability Analyses of Doubly-Tapered Rotating Laminated Composite Beams”, M.A.Sc. Thesis, Concordia University, 2016.
[12] R. B. Abarcar and P. F. Cunniff, “The Vibration of Cantilever Beams of Fiber Reinforced Material”, Journal of Composite Materials, Vol. 6, pp. 504-516, 1972.
[13] K. Chandrashekhara, K. Krishnamurthy and S. Roy, “Free Vibration of Composite Beams Including Rotary Inertia and Shear Deformation”, Journal of Composite Structures, Vol. 14, pp. 269-279, 1990.
[14] H. Abromivich and A. Livshits, “Free Vibration of Non-symmetric Cross-ply Laminated Composite Beams”, Journal of Sound and Vibration, Vol. 176, No. 5, pp. 596-612, 1994.
[15] A. K. Miller and D. F. Adams, “An Analytic Means of Determining the Flexural and Torsional Resonant Frequencies of Generally Orthotropic Beams”, Journal of Sound and Vibration, Vol. 41, No. 4, pp. 433-449, 1975.
[16] J. R. Vinson and R. L. Sierakowski, The Behavior of Structures Composed of Composite Materials, 2nd Edition, Kluwer Academic Publishers, 2002.
[17] S. Krishnaswamy, K. Chandrashekhara and W. Z. B. Wu, “Analytical Solutions to Vibration
of Generally Layered Composite Beams”, Journal of Sound and Vibration, Vol. 159, pp. 85-99,
1992.
[18] M. S. Nabi and N. Ganesan, “A Generalized Element for the Free Vibration Analysis of Composite Beams”, Computers and Structures, Vol. 51, No. 5, pp. 607-610, 1994.
[19] A. Zabihollah, “Vibration and Buckling Analysis of Tapered Composite Beams Using Conventional and Advanced Finite Element Formulations”, M.A.Sc. Thesis, Concordia University, 2003.
[20] H. Eftakher, “Free and Forced Vibrations of Tapered Composite Beams Including the Effects of Axial Force and Damping”, M.A.Sc. Thesis, Concordia University, 2008.
[21] S. Seraj and R. Ganesan, “Dynamic Instability of Rotating Doubly-Tapered Laminated Composite Beams under Periodic Rotational Speeds”, Composite Structures, Vol. 200, pp. 711-728, 2018.
[22] B. Arab, “Vibration Analysis of Thickness-Tapered Laminated Composite Square Plates Based on Ritz Method”, M.A.Sc. Thesis, Concordia University, 2019.
[23] P. Kumar, “Dynamic Response of Doubly-Tapered Laminated Composite Beams under Periodic and Non-Periodic Loadings”, M.A.Sc. Thesis, Concordia University, 2019.
[24] M.F. Kanninen, “An Augmented Double Cantilever Beam Model for Studying Crack Propagation and Arrest”, International Journal of Fracture, Vol. 9, pp. 83–92, 1973.
[25] E.F. Rybicki, D.W. Schmueser and J. Fox, “An Energy Release Rate Approach for Stable Crack Growth in the Free-Edge Delamination Problem”, Journal of Composite Material, Vol. 11, pp. 470–487, 1977.
[26] F.E. Penado, “A Closed Form Solution for the Energy Release Rate of the Double Cantilever Beam Specimen with an Adhesive Layer”, Journal of Composite Material, Vol. 27, pp. 383–407, 1993.
[27] K. Arakawa and K. Takahashi, “Interlaminar Fracture Analysis of Composite DCB Specimens”, International Journal of Fracture, Vol. 74, pp. 277–287, 1995.
[28] S. Zheng and C. Sun, “A Double Plate Finite Element Model for Impact Induced Delamination Problems”, Composites Science and Technology, Vol. 53, pp. 111-118, 1995.
[29] R. Krueger and T.K. O’Brien., “A Shell/3D Technique for the Analysis of Delaminated Composite Laminates”, Composites Part A: Applied Science and Manufacturing, Vol. 32, No.1, pp. 24 – 44, 2001.
[30] G. Alfano and M. A. Crisfield, “Finite Element Interface Models for the Delamination Analysis of Laminated Composites: Mechanical and Computational Issues”, International Journal for Numerical Methods in Engineering, Vol. 50, pp. 1701 – 1736, 2001.
[31] P. W. Harper and S. R. Hallett, “Cohesive Zone Length in Numerical Simulations of Composite Delamination”, Engineering Fracture Mechanics, Vol. 75, No. 16, pp. 4774 - 4792, 2008.
[32] S. Supreeth and S. B. Manjunath S. B., “Modeling and Analysis of Mode-I and Mode-II Delamination Onset in Composite Laminates”, International Journal of Engineering Research in Mechanical and Civil Engineering, Vol. 3, pp.14 – 21, 2018.
[33] H. Calliogllu and G. Atlihan, “Vibration Analysis of Delaminated Composite Beams using Analytical and FEM Models”, Indian Journal of Engineering & Material Sciences, Vol. 18, pp. 7-14, 2011.
[34] R.A. Jafri-Talookolaei and C. Della, “Dynamic Behavior of a Rotating Delaminated Composite Beam including Rotary Inertia and Shear Deformation Effects”, Ain Shams Engineering Journal, Vol. 6, pp. 1031 – 1044, 2015.
[35] https://doi.org/10.1016/S0020-7683(98)00325-4
[36] M. Swaminathan and J.S. Rao, “Vibrations of Rotating, Pre-Twisted and Tapered Blades”, Mechanism and Machine Theory, Vol. 12, No. 4, pp. 331-337, 1977.
[37] S. Khosravi, H. Arvin and Y. Kiani, “Vibration Analysis of Rotating Composite Beams Reinforced with Carbon Nanotubes in Thermal Environment”, International Journal of Mechanical Sciences, Vol. 164, Article 105187, 2019.
[38] E. Shafei, S. Faroughi and A. Reali, “Nonlinear Vibration of Anisotropic Composite Beams using Iso-Geometric Third-Order Shear Deformation Theory”, Composite Structures, Vol. 252, Article 112627, 2020
[39] A. Babu, P Sudhagar and R. Vasudevan, “Dynamic Characterization of Thickness Tapered Laminated Composite Plates”, Journal of Vibration and Control, Vol. 22, No.16, pp. 3555–3575, 2016.
[40] S. Ashok and P. Jeyaraj, “Static Deflection and Thermal Stress Analysis of Non-Uniformly Heated Tapered Composite Laminate Plates with Ply Drop-Off”, Structures, Vol. 15, pp. 307-319, 2018.
[41] R. K. Munian, D. R. Mahapatra and S. Gopalakrishnan, “Lamb Wave Interaction with Composite Delamination”, Composite Structures, Vol. 206, pp. 484-498, 2018.
[42] A.A. Mekonnen, K. Woo, M Kang et al., “Post-Buckling and Delamination Propagation Behavior of Composite Laminates with Embedded Delamination”, Journal of Mechanical Science and Technology, Vol. 34, pp. 1099–1110, 2020.
[43] M. Hassan, G. Hussain, A. Ali et al., “Effect of Pre-Rolling Temperature on the Interfacial Properties and Formability of Steel-Steel Bilayer Sheet in Single Point Incremental Forming”, Journal of engineering manufacturing, Vol. 235, pp. 406-416, 2020.
[44] Z. Zhang, J. Pan, W. Luo et al., “Vibration-Based Delamination Detection in Curved Composite Plates”, Composites Part A: Applied Science and Manufacturing, Vol. 119, pp. 261-274, 2019.
[45] H. Alidoost and J. Rezaeepazhand, “Instability of a Delaminated Composite Beam Subjected to a Concentrated Follower Force”, Thin-Walled Structures, Vol. 120, pp. 191-202, 2017.
[46] M. Imran, R. Khan and S. Badshah, “Finite Element Analysis to Investigate the Influence of Delamination Size, Stacking Sequence and Boundary Conditions on the Vibration Behavior of Composite Plate”, Iranian Journal of Material Science and Engineering, Vol. 16, pp. 11-21, 2019.
[47] A. Babu and R. Vasudevan, “Vibration Analysis of Rotating Delaminated Non-Uniform Composite Plates”, Aerospace Science and Technology, Vol. 60, pp. 172-182, 2017.
[48] M. Lezgy-Nazargah “Assessment of refined high-order global–local theory for progressive failure analysis of laminated composite beams”, Acta Mechanica, Vol. 228, No. 5, 2017, pp. 1923-1940.
[49] https://www.mm.bme.hu/~gyebro/files/ans_help_v182/ans_elem/Hlp_E_SHELL181.html
[50] https://www.mm.bme.hu/~gyebro/files/ans_help_v182/ans_elem/Hlp_E_SOLID185.html
[51] M. W. Hyer, Stress Analysis of Fiber-reinforced Composite Materials, WCB McGraw-Hill publishers, 1998.
[52] http://www.redbackaviation.com/understanding-rotor-blades-the-rotary-wing
[53] https://acs-composites.com/
[54] https://www.reddit.com/r/EngineeringPorn/comments/hmdwfp/genx_fan_blades/
[55] https://line.17qq.com/articles/mkwsnngsy.html
Repository Staff Only: item control page
Download Statistics
Download Statistics