Abstract
In this work the static analysis and the free-vibration analysis of Variable angle tow (VAT) multilayered panels have been investigated. The increasing demand for tailoring of advanced and complex structures lead to the development of advanced composite technologies to design structures with variable stiffness properties. The VAT structures are based on composites designed with curvilinear fibres. In the present work, the governing equations are obtained from the Principle of Virtual Displacements and higher-order models are considered to describe the unknown variables. The present formulation is assessed with 3D solutions obtained with commercial software. Some results are given for different loading and boundary conditions, different curvilinear paths, various lamination schemes.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Setoodeh, S., Abdalla, M.M., Gurdal, Z.: Design of variable-stiffness laminates using lamination parameters. Compos. B Eng. 37(4–5), 301–309 (2006)
Hyer, M.W., Charette, R.F.: Use of curvilinear fiber format in composite structure design. AIAA J. 29(6), 1011–1015 (1991)
Kim, B.C., Weaver, P.M., Potter, K.: Manufacturing characteristics of the continuous tow shearing method for manufacturing of variable angle tow composites. Compos. A Appl. Sci. Manuf. 61, 141–151 (2014)
Dirk, H.J.L., Ward, C., Potter, K.D.: The engineering aspects of automated prepreg layup: history, present and future. Compos. B Eng. 43(3), 997–1009 (2012)
Lopes, C.S., Gurdal, Z., Camanho, P.P.: Variable-stiffness composite panels: Buckling and first-ply failure improvements over straight-fibre laminates. Comput. Struct. 86(9), 897–907 (2008)
Abdalla, M.M., Setoodeh, S., Gurdal, Z.: Design of variable stiffness composite panels for maximum fundamental frequency using lamination parameters. Compos. Struct. 81(2), 283–291 (2007)
Viglietti, A., Zappino, E., Carrera, E.: Analysis of variable angle tow composites structures using variable kinematic models. Compos. B Eng. 171, 272–283 (2019)
Wu, Z., Weaver, P.M., Raju, G., Kim, B.C.: Buckling analysis and optimisation of variable angle tow composite plates. Thin-Walled Struct. 60, 163–172 (2012)
Wu, Z., Raju, G., Weaver, P.M.: Framework for the buckling optimization of variable-angle tow composite plates. AIAA J. 53(12), 3788–3804 (2015)
Akhavan, H., Ribeiro, P., De Moura, M.F.S.F.: Large deflection and stresses in variable stiffness composite laminates with curvilinear fibres. Int. J. Mech. Sci. 73, 14–26 (2013)
Oliveri, V., Milazzo, A., Weaver, P.M.: Thermo-mechanical post-buckling analysis of variable angle tow composite plate assemblies. Compos. Struct. 183, 620–635 (2018)
Sanchez-Majano, AR, Pagani, A.: Reliability-based design optimization of tow-steered composite plates employing high-order CUF-based finite elements. In: AIAA SCITECH 2022 Forum, p 0633 (2022)
Valvano, S., Alaimo, A., Orlando, C.: Advanced kinematics models for the passive damping analysis of variable-angle-tow composite shells. In: 14th World Congress on Computational Mechanics (WCCM) & ECCOMAS Congress, France (2020)
Diaz, J., Fagiano, C., Abdalla, M.M., Gurdal, Z., Hernandez, S.: A study of interlaminar stresses in variable stiffness plates. Compos. Struct. 94(3), 1192–1199 (2012)
Fagiano, C., Abdalla, M.M., Kassapoglou, C., Gurdal, Z.: Interlaminar stress recovery for three-dimensional finite elements. Compos. Sci. Technol. 70(3), 530–538 (2010)
Chen, X., Wu, Z., Nie, G., Weaver, P.: Buckling analysis of variable angle tow composite plates with a through-the-width or an embedded rectangular delamination. Int. J. Solids Struct. 138, 166–180 (2018)
Montemurro, M., Catapano, A.: On the effective integration of manufacturability constraints within the multi-scale methodology for designing variable angle-tow laminates. Compos. Struct. 161, 145–159 (2017)
Pagani, A., Sanchez-Majano, A.R.: Stochastic stress analysis and failure onset of variable angle tow laminates affected by spatial fibre variations. Compos. Part C: Open Access 4, 100091 (2021)
Sanchez-Majano, A.R., Pagani, A., Petrolo, M., Zhang, C.: Buckling sensitivity of tow-steered plates subjected to multiscale defects by high-order finite elements and polynomial chaos expansion. Materials 14, 2706 (2021)
Wahsizu, K.: Variational methods in elasticity and plasticity, 2nd edn. Pergamon Press, Oxford (1968)
Alaimo, A., Orlando, C., Valvano, S.: An alternative approach for modal analysis of stiffened thin-walled structures with advanced plate elements. Eur. J. Mech. A/Solids 77, 103820 (2019)
Zienkiewicz, O.C., Taylor, R.L., Too, J.: Reduced integration technique in general analysis of plates and shells. Int. J. Numer. Methods Eng. 3(2), 275–290 (1971)
Hughes, T.J., Cohen, M., Haroun, M.: Reduced and selective integration techniques in the finite element analysis of plates. Nucl. Eng. Des. 46(1), 203–222 (1978)
Stolarski, H., Belytschko, T.: Membrane locking and reduced integration for curved elements. J. Appl. Mech. 49(1), 172–176 (1982)
Valvano, S., Orlando, C., Alaimo, A.: Design of a noise reduction passive control system based on viscoelastic multilayered plate using \(P_{D}SO\). Mech. Syst. Signal Process. 123, 153–173 (2019)
Acknowledgements
The study was financially supported by M.I.U.R. for the S.I.ADD project (Grant ARS01 00806)
Author information
Authors and Affiliations
Corresponding author
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
Alaimo, A., Mantegna, G., Orlando, C. et al. Design of multilayered VAT panels by means of higher-order plate elements. CEAS Aeronaut J 13, 677–688 (2022). https://doi.org/10.1007/s13272-022-00588-0
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13272-022-00588-0