Skip to main content
SpringerLink
Log in

Free Vibration Analysis of Composite Structures Using Semi-Analytical Finite Strip Method

  • Technical Article---Peer-Reviewed
  • Published:
Journal of Failure Analysis and Prevention Aims and scope Submit manuscript

Abstract

In this paper, the linear eigen buckling and vibration analysis of various composite laminated structures such as flat plates, curved panels and cylindrical shell are investigated individually. The method of analysis is the semi-analytical finite strip approach which is based on the full-energy methods. The first-order Lagrange and the third-order Hermitian shape functions are utilized for the transverse and longitudinal directions, respectively, to estimate in-plane and out-of-plane displacements. By using layer-wise theory, thick structures can be modeled with good agreement with finite element methods as presented in this work. In addition, multiple nodes are considered along the thickness of structure, so displacement can be estimated more precisely in comparison with classic and first-order models as compared with other references.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  1. M. Jamali, A. Rostamijavanani, N.M. Nouri, M. Navidbakhsh, An experimental study of cavity and Worthington jet formations caused by a falling sphere into an oil film on water. Appl. Ocean Res. 102, 102319 (2020)

    Article  Google Scholar 

  2. Asadi, Adel, Amin Abbasi, and Amirhossein Bagheri. Application of artificial neural networks in estimation of drilling rate index using data of rock brittleness and mechanical Properties. In 3rd Nordic Rock Mechanics Symposium-NRMS 2017. International Society for Rock Mechanics and Rock Engineering, 2017

  3. Rashidi M., Adel A., B.M. Biltayib Correlation Between Uniaxial Compressive and Shear Strength Data of Limestone Rocks by Regression Analysis and ANFIS Model. In: Conference of the Arabian Journal of Geosciences, pp. 165-167. Springer, Cham, 2018.

  4. Asadi, A Application of adaptive neuro-fuzzy inference system for the assessment of excavation damaged zone using uniaxial compressive strength data. In: ISRM Regional Symposium-EUROCK 2015. International Society for Rock Mechanics and Rock Engineering, 2015

  5. A. Asadi, Application of artificial neural networks in prediction of uniaxial compressive strength of rocks using well logs and drilling data. Proc. Eng. 191, 279–286 (2017)

    Article  Google Scholar 

  6. A. Chogani, A. Moosavi, A.B. Sarvestani, M. Shariat, The effect of chemical functional groups and salt concentration on performance of single-layer graphene membrane in water desalination process: a molecular dynamics simulation study. J. Mol. Liq. 1(301), 112478 (2020)

    Article  Google Scholar 

  7. A. Chogani, A. Moosavi, M. Rahiminejad, Numerical simulation of saltwater passing mechanism through nanoporous single-layer graphene membrane. Chem. Prod. Process. Model. 11(1), 73–76 (2016)

    Article  CAS  Google Scholar 

  8. A. Rostamijavanani, Dynamic buckling of cylindrical composite panels under axial compressions and lateral external pressures. J. Fail. Anal. Prev. 19, 1 (2020)

    Google Scholar 

  9. A. Rostamijavanani, M.R. Ebrahimi, S. Jahedi, Thermal post-buckling analysis of laminated composite plates embedded with shape memory alloy fibers using semi-analytical finite strip method. J. Fail. Anal. Prev. 12, 1–2 (2020)

    Google Scholar 

  10. H. Khaleghi, M. Ahmadi, H. Farani Sani, Effects of two-way turbulence interaction on the evaporating fuel sprays. J. Appl. Fluid Mech. 12(5), 1407–1415 (2019)

    Article  Google Scholar 

  11. Wang X., A. Khameneian, P. Dice, B. Chen, M. Shahbakhti, J.D. Naber, C. Archer, Q. Qu, C. Glugla and G. Huberts Control-Oriented Model-Based Burn Duration and Ignition Timing Prediction with Recursive-Least-Square Adaptation for Closed-Loop Combustion Phasing Control of a Spark Ignition Engine. In: Dynamic Systems and Control Conference, vol. 59155, p. V002T12A004. American Society of Mechanical Engineers, 2019.

  12. Wang X., A. Khameneian, P. Dice, B. Chen, M. Shahbakhti, J.D. Naber, C. Archer, Q. Qu, C. Glugla and G. Huberts Model-Based Combustion Duration and Ignition Timing Prediction for Combustion Phasing Control of a Spark-Ignition Engine Using In-Cylinder Pressure Sensors. In: International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, vol. 59292, p. V009T12A033. American Society of Mechanical Engineers, 2019

  13. T. Weller, H. Abramovich, R. Yaffe, Dynamic buckling of beams and plates subjected to axial impact. Comput Struct. 32, 835–851 (1989)

    Article  Google Scholar 

  14. T.H. Lui, S.S.E. Lam, Finite strip analysis of laminated plates with general initial imperfection under end shortening. Eng. Struct. 23(6), 673–686 (2001)

    Article  Google Scholar 

  15. H.R. Ovesy, S.A.M. Ghannadpour, G. Morada, Geometric non-linear analysis of composite laminated plates with initial imperfection underend shortening using two versions of finite strip method. Compos. Struct. 71(3), 307–314 (2005)

    Article  Google Scholar 

  16. Fan S. C.Spline finite strip method in structural analysis, PhD thesis, department of Civil Engineering University of Hong Kong, 1982.

  17. S.C. Fan, Y.K. Cheung, Analysis of shallow shell by spline finite strip method. Eng. Struct. 5, 156–263 (1983)

    Article  Google Scholar 

  18. D.J. Daew, T.J. Craig, Buckling and vibration of shear deformable prismatic plate structures by a complex finite strip method. lnt J. Mech. Sci. 30(2), 77–99 (1988)

    Article  Google Scholar 

  19. D. Tan, D.J. Dawe, General spline finite strip analysis for buckling and vibration of prismatic composite laminated plate and shell structures. Compos. Part B. 29, 377–389 (1998)

    Article  Google Scholar 

  20. D. Dan, J. Dawe, Buckling and vibration analysis of composite laminated plates and shells using general spline Function. Compos. Struct. 40(1), 25–42 (1998)

    Google Scholar 

  21. D.J. Dawe, D. Tan, Finite strip buckling and free vibration analysis of stepped rectangular composite laminated plates. Int. J. Numer. Meth. Eng. 46, 1313–1334 (1999)

    Article  Google Scholar 

  22. D.J. Dawe, D. Tan, Vibration and buckling of prismatic plate structures having intermediate supports and step thickness changes. Comput. Methods Appl. Mech. Engrg. 191, 2759–2784 (2002)

    Article  Google Scholar 

  23. D.J. Dawe, S. Wang, S.S.E. Lam, Finite strip analysis of imperfect laminated plates under end shortening and normal pressure. Int. J. Numer. Meth. Eng. 38(24), 4193–4205 (1995)

    Article  Google Scholar 

  24. S. Wang, D.J. Dawe, Dynamic instability of composite laminated rectangular plates and prismatic plate structures. Comput Methods Appl. Mech. Eng. 191, 1791–1826 (2002)

    Article  Google Scholar 

  25. D.J. Dawe, Finite strip buckling analysis of curved plate assemblies under biaxial loading. Int J Solids Struct. 13, 1141–1155 (1977)

    Article  Google Scholar 

  26. Asghari mooneghi, Maryam,Stability Analysis Delaminated Composite Laminates Based on Layerwise Theory, MsC. thesis, Aerospace department, Amirkabir University of Technology, 2010

  27. J.N. Reddy, Theory and Analysis of Elastic Plates. (Taylor & Francis, Philadelphia, 1999)

    Google Scholar 

  28. K. Cho, C. Bert, A. Striz, Free vibrations of laminated rectangular plates analyzed by higher order individual-layer theory. J. Sound Vib. 145, 429–442 (1991)

    Article  Google Scholar 

  29. A.A. Khdeir, J.N. Reddy, Influence of edge conditions on the modal characteristics of cross-ply laminated shells. Compos. Struct. 34, 817–826 (1990)

    Article  Google Scholar 

  30. H. Nguyen-Van, N. Mai-Duy, W. Karunasena, T. Tran-Cong, Buckling and vibration analysis of laminated composite plate/shell structures via a smoothed quadrilateral flat shell element with in-plane rotations. Comput. Struct. 89, 612–625 (2011)

    Article  Google Scholar 

  31. M. Di Sciuva, E. Carrera, Static buckling of moderately thick, anisotropic, laminated and sandwich cylindrical shell panels. AIAA J. 28, 1782–1793 (1990)

    Article  Google Scholar 

  32. T.I. Thinh, N.M. Cuong, Dynamic stiffness matrix of continuous element for vibration of thick cross-ply laminated composite cylindrical shells. Compos. Struct. 98, 93–102 (2012)

    Article  Google Scholar 

  33. Batdorf SB. A simplified method of elastic stability analysis for thin cylindrical shells; II-modified equilibrium equation. NACA Report 1342 (1947).

Download references

Author information

Authors and Affiliations

  1. Mechanical Engineering-Engineering Mechanics, Michigan Technological University, Houghton, MI, 49931, USA

    A. Rostamijavanani

  2. Thermoelasticity Center of Excellence, Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran

    M. R. Ebrahimi

  3. Department of Wood Science and Engineering - College of Forestry, Oregon State University, Corvallis, OR, 97331, USA

    Sina Jahedi

Authors
  1. A. Rostamijavanani
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. R. Ebrahimi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Sina Jahedi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. Rostamijavanani.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Rostamijavanani, A., Ebrahimi, M.R. & Jahedi, S. Free Vibration Analysis of Composite Structures Using Semi-Analytical Finite Strip Method. J Fail. Anal. and Preven. 21, 927–936 (2021). https://doi.org/10.1007/s11668-021-01136-4

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11668-021-01136-4

Keywords

Search

Navigation