Abstract
The thermal buckling and nonlinear flutter characteristics of laminated composite panels with curvilinear fiber paths in supersonic flow are examined. The Mindlin thick theory along with the von-Kármán larger deformation relationship is adopted for structural modeling and the first-order aerodynamic piston theory for loading effects of the supersonic airflow, respectively. Also, the thermal stress and the change of mechanical properties of the material caused by the temperature rise are considered. The governing nonlinear equations of motion are obtained by using the virtual work principle, and the final partial differential equations of motion are discretized by using the finite element method, which is, respectively, solved by complex mode method in frequency domain and the Newmark method in time domain. After the validity of the presented method, the effects of curved fiber angle, temperature rise, dynamic pressure on the frequency coalescence, thermal buckling, limit cycle oscillation, and stability boundary of the curved fiber variable stiffness laminated panel are investigated in detail.
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References
Li, F.M., Song, Z.G.: Aeroelastic flutter analysis for 2D Kirchhoff and Mindlin panels with different boundary conditions in supersonic airflow. Acta Mech. 225, 3339–3351 (2014)
Zhou, R.C., Xue, D.Y., Mei, C.: Finite element time domain-modal formulation for nonlinear flutter of composite panels. AIAA J. 32(10), 2044–2052 (1994)
Amabili, M., Pellicano, F.: Nonlinear supersonic flutter of circular cylindrical shells. AIAA J. 39(4), 564–573 (2001)
Sawyer, J.W.: Flutter and buckling of general laminated plates. J. Aircraft. 14, 387–393 (1977)
Amabili, M., Pellicano, F.: Multimode approach to nonlinear supersonic flutter of imperfect circular cylindrical shells. J. Appl. Mech. 69, 118–129 (2002)
Park, J.S., Kim, J.H., Moon, S.H.: Thermal post-buckling and flutter characteristics of composite plates embedded with shape memory alloy fibers. Compos. Part B Eng. 36, 627–636 (2005)
Shiau, L.C., Kuo, S.Y., Liu, Y.P.: Aerothermoelastic analysis of composite laminated plates. Compos. Struct. 94, 1982–1990 (2012)
Song, Z.G., Li, F.M.: Aerothermoelastic analysis of nonlinear composite laminated panel with aerodynamic heating in hypersonic flow. Compos. Part B 56, 830–839 (2014)
Jiang, G., Li, F.: Aerothermoelastic analysis of composite laminated trapezoidal panels in supersonic airflow. Compos. Struct. 200, 313–327 (2018)
Xie, F., Qu, Y., Zhang, W., Peng, Z., Meng, G.: Nonlinear aerothermoelastic analysis of composite laminated panels using a general higher-order shear deformation zig-zag theory. Int. J. Mech. Sci. 150, 226–237 (2018)
Huang, D., Friedmann, P.P.: An aerothermoelastic analysis framework with reduced-order modeling applied to composite panels in hypersonic flows. J. Fluids Struct. 94, 102927 (2020)
Zhang, J., Qu, Y., Xie, F., Peng, Z., Zhang, W., Meng, G.: Investigations on nonlinear aerothermoelastic behaviors of multilayered composite panels subject to frictional boundaries and random acoustic loads in supersonic flow. Thin Wall. Struct. 158, 107180 (2021)
Kuo, S.Y.: Aerothermoelastic analysis of composite laminates with variable fiber spacing. Comput. Mater. Sci. 91, 83–90 (2014)
Kuo, S.Y.: Flutter of thermally buckled angle-ply laminates with variable fiber spacing. Compos. Part B Eng. 95, 240–251 (2016)
Hyer, M., Lee, H.: The use of curvilinear fiber format to improve buckling resistance of composite plates with central circular holes. Compos. Struct. 18, 239–261 (1991)
Gurdal, Z., Olmedo, R.: In-plane response of laminates with spatially varying fiber orientations: variable stiffness concept. AIAA J. 31(4), 751–758 (1993)
Honda, S., Narita, Y.: Natural frequencies and vibration modes of laminated composite plates reinforced with arbitrary curvilinear fiber shape paths. J. Sound Vib. 331, 180–191 (2012)
Akhavan, H., Ribeiro, P., 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)
Günay, G.M., Timarci, T.: Stresses in thin-walled composite laminated box-beams with curvilinear fibers: antisymmetric and symmetric fiber paths. Thin Wall. Struct. 138, 170–182 (2019)
Hasim, K.A., Kefal, A.: Isogeometric static analysis of laminated plates with curvilinear fibers based on Refined Zigzag Theory. Compos. Struct. 256, 113097 (2021)
Manickam, G., Bharath, A., Narayan, D.A., Chandra, A., Barua, P.: Thermal buckling behaviour of variable stiffness laminated composite plates. Mater. Today Commun. 16, 142–151 (2018)
Fazilati, J., Khalaf, V.: Effects of embedded perforation geometry on the free vibration of towsteered variable stiffness composite laminated panels. Thin Wall Struct. 144, 106287 (2019)
Guimaraes T.A.M., Castroy S.G.P., Rade D.A., Cesnik C.E.S.: Panel flutter analysis and optimization of composite tow steered plates. In: 58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference (2017)
Fazilati, J.: Stability analysis of variable stiffness composite laminated plates with delamination using spline-FSM. J. Solids Struct. 14, 528–543 (2017)
Vahid, K., Jamshid, F.: Supersonic panel flutter of variable stiffness composite laminated skew panels subjected to yawed flow by using NURBS-based isogeometric approach. J. Fluids Struct. 82, 198–214 (2018)
Farsadi, T., Asadi, D., Kurtaran, H.: Flutter improvement of a thin walled wing-engine system by applying curvilinear fiber path. Aero Sci. Tech. 93, 105353 (2019)
Samukham, S., Raju, G., Vyasarayani, C.P.: Parametric instabilities of variable angle tow composite laminate under axial compression. Compos. Struct. 166, 229–238 (2017)
Loja, M.A.R., Barbosa, J.I., Mota, C.M.: Dynamic instability of variable stiffness composite plates. Compos. Struct. 182, 402–411 (2017)
Akhavan, H., Ribeiro P.: Reduced-order models for nonlinear flutter of composite laminates with curvilinear fibers. AIAA J. https://doi.org/10.2514/1.J057755 (2019)
Camacho, P., Akhavan, H., Ribeiro, P.: Linear aeroelastic analysis of cantilever hybrid composite laminated plates with curvilinear fibres and carbon nanotubes. Compos. Struct. 27, 113765 (2021)
Rahmanian, M., Farsadi, T., Kurtaran, H.: Nonlinear flutter of tapered and skewed cantilevered plates with curvilinear fiber paths. J. Sound Vib. 500, 116021 (2021)
Farsadi, T., Asadi, D., Kurtaran, H.: Nonlinear flutter response of a composite plate applying curvilinear fiber paths. Acta Mech. 231, 715–731 (2020)
Yan, Y., Liu, B., Xing, Y., Carrera, E., Pagani, A.: Free vibration analysis of variable stiffness composite laminated beams and plates by novel hierarchical differential quadrature finite elements. Compos. Struct. 274, 114364 (2021)
Pagani, A., Carrera, E.: Large-deflection and post-buckling analyses of laminated composite beams by Carrera Unified Formulation. Compos. Struct. 170, 40–52 (2017)
Pagani, A., Azzara, R., Wu, B., Carrera, E.: Effect of different geometrically nonlinear strain measures on the static nonlinear response of isotropic and composite shells with constant curvature. Int. J. Mech. Sci. 209, 106713 (2021)
Amabili, M.: Nonlinear Vibrations and Stability of Shells and Plates. Cambridge University Press, New York, USA (2008)
Amabili, M.: Nonlinear Mechanics of Shells and Plates: Composite, Soft and Biological Materials. Cambridge University Press, New York, USA (2018)
Ouyang, X., Liu, Y.: Panel flutter of variable stiffness composite laminates in supersonic flow. Acta Aeronaut. Astronaut. Sin. 39(3), 221539 (2018)
Acknowledgements
This research is supported by the Open Fund for Key Laboratory of Airworthiness Certification Technology of Civil Aviation Aircraft (Grant No. SH2020112705), the Natural Science Foundation of China (Grant No. 11702325) and Key Research and Development Projects in Hebei Province (Grant No. 21350401D).
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Gao, Y., Duan, J., Lei, Y. et al. Aerothermoelastic analysis of curvilinear fiber variable stiffness laminated panels in supersonic flow. Acta Mech 233, 4327–4345 (2022). https://doi.org/10.1007/s00707-022-03331-2
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DOI: https://doi.org/10.1007/s00707-022-03331-2