journal article·2024-04

Effects of the concentrated mass and elastic support on dynamic and flutter behaviors of panel structures

Kai Zhou

Publisher page

Abstract

To research impacts of mass points and elastic supports on dynamic and aeroelastic properties of plate structures, a unified dynamic model concerning the plate structures with concentrated mass point or elastic support subjected to supersonic airflow is established in this paper. The energy approach is utilized to deduce energy functions of the dynamic system, and the nonlinear dynamic equations are further formulated based on the variational principle. Furthermore, several numerical calculations are implemented to validate the proposed formulations, and satisfactory agreements are exhibited between the calculated vibration and flutter solutions and data from the software and literature. Subsequently, impacts of the mass point and elastic support on vibration and flutter properties of panel structures are also presented and the detailed mechanisms are explained. It can be found that aeroelastic stability properties of panel structures are significantly raised with the location of the concentrated mass point or elastic support placed reasonably. This study provides a simple method for the flutter suppression of plates, which can be used in the mechanical design of these plate structures for the better dynamic performances.
Source: expertdata · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Composite Structure Analysis and Optimization · Vibration and Dynamic Analysis · Aeroelasticity and Vibration Control

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (46)

Show source-provided references
1. Amirzadegan, S., Dowell, E.H.: Correlation of experimental and computational results for flutter of streamwise curved plate. AIAA J. 57(8), 3556–3561 (2019)10.2514/1.J057909 ↗
2. Cao, D.Q., Zhao, N.: Active control of supersonic/hypersonic aeroelastic flutter for a two-dimensional airfoil with flap. Sci. China Technol. Sc. 54(8), 1943–1953 (2011)10.1007/s11431-011-4467-0 ↗
3. Chai, Y.Y., Song, Z.G., Li, F.M.: Active aerothermoelastic flutter suppression of composite laminated panels with time-dependent boundaries. Comput. Struct. 179, 61–76 (2017a)10.1016/j.compstruct.2017.07.053 ↗
4. Chai, Y.Y., Song, Z.G., Li, F.M.: Investigations on the influences of elastic foundations on the aerothermoelastic flutter and thermal buckling properties of lattice sandwich panels in supersonic airflow. Acta Astronaut. 140, 176–189 (2017b)10.1016/j.actaastro.2017.08.016 ↗
5. Cunha-Filho, A.G., De Lima, A.M.G., Donadon, M.V.: Flutter suppression of plates subjected to supersonic flow using passive constrained viscoelastic layers and Golla–Hughes–McTavish method. Aerosp. Sci. Technol. 52, 70–80 (2016a)10.1016/j.ast.2016.02.022 ↗
6. Cunha-Filho, A.G., De Lima, A.M.G., Donadon, M.V., Leão, L.S.: Flutter suppression of plates using passive constrained viscoelastic layers. Mech. Syst. Signal. Pr. 79, 99–111 (2016b)10.1016/j.ymssp.2016.02.025 ↗
7. Dowell, E.H.: Nonlinear oscillations of a fluttering plate. AIAA J. 4(7), 1267–1275 (1966)10.2514/3.3658 ↗
8. Eshmatov, B.K., Eshmatov, K., Khodzhaev, D.A.: Nonlinear flutter of viscoelastic rectangular plates and cylindrical panels of a composite with a concentrated masses. J. Appl. Mech. Tech. Phys. 54(4), 578–587 (2013)10.1134/S0021894413040081 ↗
9. Fazelzadeh, S.A., Mazidi, A., Kalantari, H.: Bending-torsional flutter of wings with an attached mass subjected to a follower force. J. Sound Vib. 323(1–2), 148–162 (2009)10.1016/j.jsv.2009.01.002 ↗
10. Fazelzadeh, S.A., Eghtesad, M., Azadi, M.: Buckling and flutter of a column enhanced by piezoelectric layers and lumped mass under a follower force. Int. J. Struct. Stab. Dyn. 10(05), 1083–1097 (2010)10.1142/S0219455410003907 ↗
11. Freydin, M., Dowell, E.H., Spottswood, S.M., Perez, R.A.: Nonlinear dynamics and flutter of plate and cavity in response to supersonic wind tunnel start. Nonlinear Dyn. 103(4), 3019–3036 (2021)10.1007/s11071-020-05817-x ↗
12. Ghoman, S.S., Azzouz, M.: Supersonic aerothermoelastic nonlinear flutter study of curved panels: frequency domain. J. Aircraft 49(4), 1075–1090 (2012)10.2514/1.C031575 ↗
13. Grover, N., Singh, B.N., Maiti, D.K.: An inverse trigonometric shear deformation theory for supersonic flutter characteristics of multilayered composite plates. Aerosp. Sci. Technol. 52, 41–51 (2016)10.1016/j.ast.2016.02.017 ↗
14. Howell, R.M., Lucey, A.D.: Energy production characteristics of a spring-mounted cantilevered-free flexible plate in a uniform flow. Fluids Eng. Div. Summer Meet. Am. Soc. Mech. Eng. 44755, 1455–1463 (2012)
15. Howell, R.M., Lucey, A.D.: Flutter of spring-mounted flexible plates in uniform flow. J. Fluid Struct. 59, 370–393 (2015)10.1016/j.jfluidstructs.2015.09.009 ↗
16. Howell, R.M., Lucey, A.D., Pitman, M.W.: The effect of inertial inhomogeneity on the flutter of a cantilevered flexible plate. J. Fluid Struct. 27(3), 383–393 (2011)10.1016/j.jfluidstructs.2010.11.014 ↗
17. Howell, R.M., Lucey, A. D.: Flutter of a nonlinear-spring-mounted flexible plate for applications in energy harvesting. In: 20th Australasian Fluid Mechanics Conference, pp. 5–8 (2016)
18. Huang, L., Zhang, C.: Modal analysis of cantilever plate flutter. J. Fluid Struct. 38, 273–289 (2013)10.1016/j.jfluidstructs.2013.01.004 ↗
19. Ibrahim, H.H., Yoo, H.H., Lee, K.S.: Aero-thermo-mechanical characteristics of imperfect shape memory alloy hybrid composite panels. J. Sound Vib. 325(3), 583–596 (2009a)10.1016/j.jsv.2009.03.027 ↗
20. Ibrahim, H.H., Yoo, H.H., Lee, K.S.: Supersonic flutter of functionally graded panels subject to acoustic and thermal loads. J. Aircraft 46(2), 593–600 (2009b)10.2514/1.39085 ↗
21. Jin, G., Ye, T., Su, Z.: Structural Vibration: A Uniform Accurate Solution for Laminated Beams, Plates and Shells with General Boundary Conditions. Science Press, Beijing (2015)10.1007/978-3-662-46364-2 ↗
22. Kassem, M., Yang, Z., Gu, Y., Wang, W., Safwat, E.: Active dynamic vibration absorber for flutter suppression. J. Sound Vib. 469, 115110 (2020)10.1016/j.jsv.2019.115110 ↗
23. Kuo, S.Y.: Aerothermoelastic analysis of composite laminates with variable fiber spacing. Comput. Mater. Sci. 91, 83–90 (2014)10.1016/j.commatsci.2014.04.045 ↗
24. Li, F.M.: Active aeroelastic flutter suppression of a supersonic plate with piezoelectric material. Int. J. Eng. Sci. 51, 190–203 (2012)10.1016/j.ijengsci.2011.10.003 ↗
25. Li, F.M., Song, Z.G.: Active aeroelastic flutter analysis and vibration control of supersonic composite laminated plate. Compos. Struct. 94(2), 702–713 (2012)10.1016/j.compstruct.2011.09.005 ↗
26. Li, F.M., Song, Z.G.: Flutter and thermal buckling control for composite laminated panels in supersonic flow. J. Sound Vib. 332(22), 5678–5695 (2013)10.1016/j.jsv.2013.05.032 ↗
27. 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(12), 3339–3351 (2014)10.1007/s00707-014-1141-1 ↗
28. Liew, K.M., Wang, C.M., Xiang, Y., Kitipornchai, S.: Vibration of Mindlin Plates: Programming the p-Version Ritz Method. Elsevier, Oxford (1998)
29. Marques, F.D., Natarajan, S., Ferreira, A.J.M.: Evolutionary-based aeroelastic tailoring of stiffened laminate composite panels in supersonic flow regime. Compos. Struct. 167, 30–37 (2017)10.1016/j.compstruct.2017.01.062 ↗
30. Navazi, H.M., Haddadpour, H.: Nonlinear aero-thermoelastic analysis of homogeneous and functionally graded plates in supersonic airflow using coupled models. Compos. Struct. 93(10), 2554–2565 (2011)10.1016/j.compstruct.2011.04.018 ↗
31. Pacheco, D.R., Marques, F.D., Ferreira, A.J.: Panel flutter suppression with nonlinear energy sinks: numerical modeling and analysis. Int. J. Nonlinear Mech. 106, 108–114 (2018)10.1016/j.ijnonlinmec.2018.08.009 ↗
32. Prakash, T., Ganapathi, M.: Supersonic flutter characteristics of functionally graded flat panels including thermal effects. Compos. Struct. 72(1), 10–18 (2006)10.1016/j.compstruct.2004.10.007 ↗
33. Samadpour, M., Asadi, H., Wang, Q.: Nonlinear aero-thermal flutter postponement of supersonic laminated composite beams with shape memory alloys. Eur. J. Mech. A Solid 57, 18–28 (2016)10.1016/j.euromechsol.2015.11.004 ↗
34. Shao, C., Cao, D., Xu, Y., Zhao, H.: Flutter and thermal buckling analysis for composite laminated panel embedded with shape memory alloy wires in supersonic flow. Int. J. Aerosp. Eng. 7, 1–12 (2016)10.1155/2016/8562716 ↗
35. Song, Z.G., Li, F.M.: Investigations on the flutter properties of supersonic panels with different boundary conditions. Int. J. Dyn. Cont. 2(3), 346–353 (2014)10.1007/s40435-013-0038-5 ↗
36. Song, Z.G., Li, F.M.: Flutter and buckling characteristics and active control of sandwich panels with triangular lattice core in supersonic airflow. Compos. B Eng. 108, 334–344 (2017)10.1016/j.compositesb.2016.10.013 ↗
37. Sun, Q., Xing, Y.F.: Exact eigensolutions for flutter of two-dimensional symmetric cross-ply composite laminates at high supersonic speeds. Compos. Struct. 183, 358–370 (2018)10.1016/j.compstruct.2017.03.085 ↗
38. Sun, Y., Song, Z., Ma, W.: Influence mechanism of lumped masses on the flutter behavior of structures. Aerosp. Sci. Technol. 111, 106524 (2021)10.1016/j.ast.2021.106524 ↗
39. Tan, B.H., Lucey, A.D., Howell, R.M.: Aero-/hydro-elastic stability of flexible panels: prediction and control using localised spring support. J. Sound Vib. 332(26), 7033–7054 (2013)10.1016/j.jsv.2013.08.012 ↗
40. Tian, W., Li, Y., Li, P., Yang, Z.C., Zhao, T.: Passive control of nonlinear aeroelasticity in hypersonic 3-D wing with a nonlinear energy sink. J. Sound. Vib. 462, 114942 (2019)10.1016/j.jsv.2019.114942 ↗
41. Torabi, K., Afshari, H.: Optimization of flutter boundaries of cantilevered trapezoidal functionally graded sandwich plates. J Sandw Struct Mater1099636217697492 (2017)10.1177/1099636217697492 ↗
42. Torabi, K., Afshari, H., Aboutalebi, F.H.: Vibration and flutter analyses of cantilever trapezoidal honeycomb sandwich plates. J. Sandw. Struct. Mater. 1099636217728746 (2017)10.1177/1099636217728746 ↗
43. Wei, Z., Yin, X., Yu, S., Wu, W.: Dynamic stiffness formulation for transverse and in-plane vibration of rectangular plates with arbitrary boundary conditions based on a generalized superposition method. Int. J. Mech. Mater. Des. 17, 119–135 (2021)10.1007/s10999-020-09515-9 ↗
44. Zhao, H., Cao, D.: Supersonic flutter of laminated composite panel in coupled multi-fields. Aerosp. Sci. Technol. 47, 75–85 (2015)10.1016/j.ast.2015.09.019 ↗
45. Zhou, K., Su, J., Hua, H.: Aero-thermo-elastic flutter analysis of supersonic moderately thick orthotropic plates with general boundary conditions. Int. J. Mech. Sci. 141, 46–57 (2018)10.1016/j.ijmecsci.2018.03.026 ↗
46. Zhou, J., Xu, M., Zha, J., Yang, Z.C.: The suppression of nonlinear panel flutter response at elevated temperatures using a nonlinear energy sink. Meccanica 56(1), 41–57 (2021)10.1007/s11012-020-01269-0 ↗