Abstract
In this paper, the vibration of a stratified composite plate has been investigated using finite element analysis. The first order shear deformation theory (FSDT) together with Hamilton’s principle approaches are detailed for eventual calculation of natural frequencies; thus, the approach evaluates the natural frequencies based on FE using Ansys Mechanical and Ansys composite PrePost based on the FSDT method. A composite plate is assessed with and without artificial delamination to interpret dynamic performances about composite laminates of the blade structure. Consequently, a set of analysis studies has been carried out on fiber’s orientation, laminates number, boundary conditions (BC), delamination area and their orientation. The most relevant findings from this research paper can be evaluated as those natural frequencies are decreased due to delamination progression of 7% at high vibration mode level; therefore, it reduces the robustness of the blade structure. In addition, the influence of BC is discussed regarding blade structure. As alternative solutions for revealing rigidity, composite materials architecture is defined as density degree, fiber orientation, BC and delamination areas, which are the main parameter to improving vibration response of the overall blade structure.
Similar content being viewed by others
Data availability
Authors confirm that all relevant data and material are included in the article.
Code availability
Authors ensure that all relevant data are included in the article.
Abbreviations
- FEA:
-
Finite element analysis
- FSDT:
-
First-order shear deformation theory
- HSDT:
-
High-order shear deformation theory
- CLPT:
-
Classical laminates plate theory
- ACP:
-
Ansys composite prepost
- BC:
-
Boundary conditions
- HAWTB:
-
Horizontal axis wind turbine blade
- FRP:
-
Fabric reinforced polymer
- FEM:
-
Finite element method
- DOF:
-
Degrees of freedom
- WTB:
-
Wind turbine blade
References
Willis, D.J., Niezrecki, C., Kuchma, D., Hines, E., Arwade, S.R., Barthelmie, R.J., Rotea, M.: Wind energy research: State-of-the-art and future research directions. Renew. Energy 125, 133–154 (2018)
Veers, P., Dykes, K., Lantz, E., Barth, S., Bottasso, C.L., Carlson, O., Wiser, R.: Grand challenges in the science of wind energy. Science 366, 6464 (2019)
Mohanty, A.K., Vivekanandhan, S., Pin, J.-M., Misra, M.: Composites from renewable and sustainable resources: challenges and innovations. Science 362, 536–542 (2018)
Rajad, O., Mounir, H.: A review on the HAWCTB performance enhancement methods, numerical models and AI concept used for the blade composite structure assessment: context of new industry 5.0. In: Proceedings of the 2021 9th International Renewable and Sustainable Energy Conference (IRSEC), 2021, pp. 1–6. https://doi.org/10.1109/IRSEC53969.2021.9741193.
Challa, V.R., Prasad, M.G., Shi, Y., Fisher, F.T.: A vibration energy harvesting device with bidirectional resonance frequency tunability. Eng. Anal. Bound. Elem. 17, 1–12 (2017)
Rezaiee-Pajand, M., Masoodi, A.R., Rajabzadeh-Safaei, N.: Nonlinear vibration analysis of carbon nanotube reinforced composite plane structures. Steel Compos. Struct. 30(6), 493–516 (2019)
Liu, G., Chen, G., Cui, F., Xi, A.: Nonlinear vibration analysis of composite blade with variable rotating speed using Chebyshev polynomials. Eur. J. Mech.-A/Solids 82, 103976 (2020)
Vu, T.-V., Nguyen, N.-H., Khosravifard, A., Hematiyan, M., Tanaka, S., Quoc, T.: A simple FSDT-based meshfree method for analysis of functionally graded plates. Eng. Anal. Bound. Elem. 79, 1–12 (2017)
Peng, L.X., Kitipornchai, S., Liew, K.M.: Analysis of rectangular stiffened plates under uniform lateral load based on FSDT and element-free Galerkin method. Int. J. Mech. Sci. 47(2), 251–276 (2005)
Shukla, V., Jeeoot, S.: Modeling and analysis of cross-ply and angle-ply laminated plates under patch loads using RBF based meshfree method and new HSDT. Comput. Math. Appl. 79, 2240–2257 (2020)
Shahbazi, M., Boroomand, B., Soghrati, S.: On using exponential basis functions for laminates modeled by CLPT, FSDT and TSDT: further tests and results. Compos. Struct. 94, 2263–2268 (2012)
Ji, R., Zhao, L., Wang, K., Liu, Y.G.F., Jianyu, Z.: Effects of debonding defects on the postbuckling and failure behaviors of composite stiffened panel under uniaxial compression. Compos. Struct. 256, 113121 (2021)
Zhang, Z., He, M., Liu, A., Singh, H.K., Ramakrishnan, K.R., Hui, D., Shankar, K., Morozov, E.V.: Vibration-based assessment of delaminations in FRP composite plates. Compos. B 144, 256–264 (2018)
Kahla, H.B.: Micro-cracking and delaminations of composite laminates under tensile quasi-static and cyclic loading. Doctoral dissertation, Luleå tekniska universitet (2019)
Pudipeddi, G.T., Ng, C.T., Kotousov, A.: Mode conversion and scattering of Lamb waves at delaminations in composite laminates. J. Aerosp. Eng. 32, 04019067 (2019)
Tay, T.: Characterization and analysis of delamination fracture in composites: an overview of developments from 1990 to 2001. Appl. Mech. Rev. 56, 1–32 (2003)
Aslan, Z., Daricik, F.: Effects of multiple delaminations on the compressive, tensile, flexural, and buckling behaviour of E-glass/epoxy composites. Compos. B 100, 186–196 (2016)
Liu, P., Groves, R.M., Benedictus, R.: 3D monitoring of delamination growth in a wind turbine blade composite using optical coherence tomography. NDT E Int. 64, 52–58 (2014)
Meng, Z., Li, G., Wang, X., Sait, S.M., Yıldız, A.R.: A comparative study of metaheuristic algorithms for reliability-based design optimization problems. Arch. Comput. Methods Eng. 28(3), 1853–1869 (2021)
Karaduman, A., Yıldız, B.S., Yıldız, A.R.: Experimental and numerical fatigue-based design optimisation of clutch diaphragm spring in the automotive industry. Int. J. Veh. Des. 80(2–4), 330–345 (2019)
Güler, T., Demirci, E., Yıldız, A.R., Yavuz, U.: Lightweight design of an automobile hinge component using glass fiber polyamide composites. Mater. Testing 60(3), 306–310 (2018)
Demirci, E., Yıldız, A.R.: A new hybrid approach for reliability-based design optimization of structural components. Mater. Testing 61(2), 111–119 (2019)
Guo, S., Zhang, X., Shi, C., Zhao, D., Liu, E., He, C., Zhao, N.: Comprehensive performance regulation of Cu matrix composites with graphene nanoplatelets in situ encapsulated Al2O3 nanoparticles as reinforcement. Carbon 188, 81–94 (2022)
Rajad, O., Mounir, H.: Modeling, understanding and enhancing the mechanical response of the HAWTB composite structure through the nonlinear FE analysis of a proposed submodel. Int. J. Interact. Des. Manuf. (IJIDeM) 15, 631–659 (2021)
Rajad, O., Mounir, H., Marjani, A., Fertahi, S-D.: Nonlinear modeling analysis of the coupled mechanical strength and stiffness enhancement of composite materials of a Horizontal Axis Wind Turbine Blade (HAWTB). Int. J. Interact. Des. Manuf. (IJIDeM), pp. 1–24 (2022)
Rajad, O., Hamid, M., Marjani, A.E.: Fiber orientation effect on the behavior of the composite materials of the horizontal axis wind turbine blade (HAWTB). In: 6th International Renewable and Sustainable Energy Conference (IRSEC), pp. 1–6 (2018)
Amadane, Y., Mounir, H.: Performance improvement of a PEMFC with dead-end anode by using CFD-Taguchi approach. J. Electroanal. Chem. 904, 115909 (2022)
Yassine, A., Hamid, M., El, M.A., Mohamed, K.E.: A computational fluid dynamics (CFD) investigation of two PEM fuel cells with straight single-channel(SC):SC-40mm and SC-50mm. In: 6th International Renewable and Sustainable Energy Conference (IRSEC), no. 18637065, pp. 1–5 (2018)
Bhar, A., Phoenix, S.S., Satsangi, S.K.: Finite element analysis of laminated composite stiffened plates using FSDT and HSDT: a comparative perspective. Compos. Struct. 92(2), 312–321 (2010)
Almeida, A., Donadon, M., Faria, A., Almeida, S.D.: The effect of piezoelectrically induced stress stiffening on the aeroelastic stability of curved composite panels. Compos. Struct. 94, 3201–3211 (2012)
Kim, I.B., Song-Hak, U., Sin, S.H.: Global stiffness determination of a cross-ply laminated composite plate with distributed delaminations and matrix cracks and its application. Compos. Struct. 233, 111586 (2020)
Maroua, H., El Mahi, A., Karra, C., Haddar, M.: Non linear behaviour of glass fibre reinforced composites with delamination. Compos. B Eng. 92, 350–359 (2016)
Nachtane, M., Tarfaoui, M., Mohammed, M.A., Saifaoui, D., Moumen, A.E.: Effects of environmental exposure on the mechanical properties of composite tidal current turbine. Renew. Energy 156, 1132–1145 (2020)
Kumar, A., Jaiswal, H., Patil, P.: FEM simulation based computation of natural frequencies and mode shapes of loose transmission gearbox casing. Int. Rev. Model. Simul. (IREMOS) 7(5), 900–905 (2014)
Belfkira, Z., Mounir, H., El Marjani, A.: Comparison of experimental and numerical performances of a wind turbine airfoil using XFOIL and computational fluid dynamics simulation. Int. Rev. Model. Simul. (IREMOS) 12(4), 212–221 (2019)
Fertahi, S.-D., Bouhal, T., Rajad, O., Kousksou, T., Arid, A., Rhafiki, E., Benbassou, A.: CFD performance enhancement of a low cut-in speed current Vertical Tidal Turbine through the nested hybridization of Savonius and Darrieus. Energy Convers. Manag. 169, 266–276 (2018)
Hammami, M.: Comportement mécanique et vibratoire des composites stratifiés sains et endommagés par délaminage. Acoustique, Université du Maine, 2016. Français. <NNT : 2016LEMA1022>. <tel-01777958>.
İpek, G., Arman, Y., Çelik, A.: The effect of delamination size and location to buckling behavior of composite materials. Compos. B Eng. 155, 69–76 (2018)
Köllner, A.: Predicting buckling-driven delamination propagation in composite laminates: An analytical modelling approach. Compos. Struct. 266, 113776 (2021)
Bogenfeld, R., Freund, S., Schu, A.: An analytical damage tolerance method accounting for delamination in compression-loaded composites. Eng. Fail. Anal. 118, 104875 (2020)
Chen, X., Tang, J., Yang, K.: Modeling multiple failures of composite box beams used in wind turbine blades. Compos. Struct. 217, 130–142 (2019)
Tarfaoui Mostapha, N.M., Hafedh, K., Dennoun, S.: Simulation of mechanical behavior and damage of a large composite wind turbine blade under critical loads. Appl. Compos. Mater. 25(2), 237–254 (2018)
Liu, H.A.Z.Z., Hongbo, J., Quanlong, L., Yanju, L., Jinsong, L.: A novel method to predict the stiffness evolution of in-service wind turbine blades based on deep learning models. Compos. Struct. 252, 112702 (2020)
Alaa, M.R.: Study of some mechanical properties and erosive behavior by taguchi method for hybrid nano composites. Eng. Technol. J. 36(4), 471–479 (2018)
Albanesi, A., Roman, N., Bre, F., Fachinotti, V.: A metamodel-based optimization approach to reduce the weight of composite laminated wind turbine blades. Compos. Struct. 194, 345–356 (2018)
Acknowledgements
This research was not supported by any public, commercial, or non-profit company.
Funding
This research received no specific grant from any funding agency in the public, commercial, or not-for-profit sectors.
Author information
Authors and Affiliations
Contributions
OR: Conceptualization, Methodology, Software, Validation, Investigation, Visualization, Writing—original draft. HM: Reviewing, Supervision.
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Rajad, O., Mounir, H. The stiffness assessment of the blade composite structure using a proposed sub-model arbitrary rectangular with delamination effect. Int J Interact Des Manuf 16, 1197–1207 (2022). https://doi.org/10.1007/s12008-022-00891-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12008-022-00891-4