An efficient method for the plane vibration analysis of composite sandwich beam with an orthotropic core

Sefa Yıldırım

doi:10.17776/csj.660226

EN

An efficient method for the plane vibration analysis of composite sandwich beam with an orthotropic core

Abstract

The free vibration characteristics of composite sandwich beam is examined using an efficient numerical solution scheme. The simply supported beam is assumed to be composed of two isotropic face sheets and an orthotropic core. The plane elasticity formulations are used to derive the equations of motion and the reduced governing differential equation is solved by Complementary Functions Method. The dimensionless analysis of natural frequencies is done to acquire the high precision along with few divisions. The influences of material and geometric parameters on the natural frequency are also illustrated. The solutions are validated with the results obtained from finite element software and it is shown that presented method is an efficient solution technique for the vibration problems of composite beams with a core.

Keywords

Vibration,Composites Beams,Orthotropy,Plane Elasticity,Complementary Functions Method

References

[1] Arikoglu A. and Ozkol I. Vibration analysis of composite sandwich beams with viscoelastic core by using differential transform method. Compos. Struct., 92(12) (2010) 3031-3039.
[2] Baba B.O. Free vibration analysis of curved sandwich beams with face/core debond using theory and experiment. Mech. Adv. Mater. Struc., 19(5) (2012) 350-359.
[3] Lou J., Ma L. and Wu L.Z. Free vibration analysis of simply supported sandwich beams with lattice truss core. Mat. Scı. Eng. B-Adv., 177(19) (2012) 1712-1716.
[4] Sadeghnejad S., Sadighi M. and Hamedani A. O. An extended higher-order free vibration analysis of composite sandwich beam with viscoelastic core. ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis, ESDA 20122012. p. 75-82.
[5] Xu M. and Qiu Z. Free vibration analysis and optimization of composite lattice truss core sandwich beams with interval parameters. Compos. Struct., 106(1) (2013) 85-95.
[6] Wang Y. and Wang X. Free vibration analysis of soft-core sandwich beams by the novel weak form quadrature element method. J. Sandw. Struct. Mater., 18(3) (2016) 294-320.
[7] Cheng S., Qiao P., Chen F., Fan W. and Zhu Z. Free vibration analysis of fiber-reinforced polymer honeycomb sandwich beams with a refined sandwich beam theory. J. Sandw. Struct. Mater., 18(2) (2016) 242-260.
[8] Chen D., Kitipornchai S. and Yang J. Nonlinear free vibration of shear deformable sandwich beam with a functionally graded porous core. Thin-Walled Struct., 107(1) (2016) 39-48.
[9] Khdeir A. A. and Aldraihem O. J. Free vibration of sandwich beams with soft core. Compos. Struct., 154((2016) 179-189.
[10] Zhang Z. J., Han B., Zhang Q.C. and Jin F. Free vibration analysis of sandwich beams with honeycomb-corrugation hybrid cores. Compos. Struct., 171(1) (2017) 335-344.

[11] Demir O., Balkan D., Peker R. C., Metin M. and Arikoglu A. Vibration analysis of curved composite sandwich beams with viscoelastic core by using differential quadrature method. J. Sandw. Struct. Mater., 22(3) (2020) 743–770.
[12] Chanthanumataporn S. and Watanabe N. Free vibration of a light sandwich beam accounting for ambient air. J. Vib. Control., 24(16) (2018) 3658-3675.
[13] De Souza Eloy F., Gomes G. F., Ancelotti A. C., da Cunha S. S., Bombard A. J. F. and Junqueira D. M. A numerical-experimental dynamic analysis of composite sandwich beam with magnetorheological elastomer honeycomb core. Compos. Struct., 209(1) (2019) 242-257.
[14] Rahmani O., Khalili S., Malekzadeh K. and Hadavinia H. Free vibration analysis of sandwich structures with a flexible functionally graded syntactic core. Compos. Struct., 91(2) (2009) 229-235.
[15] Asgari G., Payganeh G. and Fard K. M. Dynamic instability and free vibration behavior of three-layered soft-cored sandwich beams on nonlinear elastic foundations. Struct. Eng. Mech., 72(4) (2019) 525-540.
[16] Xu G.D., Zeng T., Cheng S., Wang X.-h. and Zhang K. Free vibration of composite sandwich beam with graded corrugated lattice core. Compos. Struct., 229(1) (2019) 335-344.
[17] Temel B. and Noori A. R. Out-of-plane vibrations of shear-deformable afg cycloidal beams with variable cross section. ‎Appl. Acoust., 155(1) (2019) 84-96.
[18] Aslan T. A., Noori A. R. and Temel B. Dynamic response of viscoelastic tapered cycloidal rods. Mech. Res. Commun., 92((2018) 8-14.
[19] Celebi K., Yarimpabuc D. and Tutuncu N. Free vibration analysis of functionally graded beams using complementary functions method. Arch. Appl. Mech., 88(5) (2018) 729-739.
[20] Yildirim S. and Tutuncu N. Effect of magneto-thermal loads on the rotational instability of heterogeneous rotors. AIAA J., 57(5) (2019) 2069-2074.
[21] Aktas Z. Numerical solutions of two-point boundary value problems. Ankara, Turkey: METU, Dept of Computer Eng, (1972).
[22] Roberts S. and Shipman J. Fundamental matrix and two-point boundary-value problems. J. Optimiz. Theory. App., 28(1) (1979) 77-88.
[23] Tutuncu N. and Temel B. A novel approach to stress analysis of pressurized fgm cylinders, disks and spheres. Compos. Struct., 91(3) (2009) 385-390.
[24] Temel B. and Noori A.R. Transient analysis of laminated composite parabolic arches of uniform thickness. Mech. Based Des. Struc., 47(5) (2019) 546-554.
[25] Temel B. and Noori A.R. On the vibration analysis of laminated composite parabolic arches with variable cross-section of various ply stacking sequences, Mech. Adv. Mater. Struc. (2018).

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Sefa Yıldırım ^*
0000-0002-9204-5868
Türkiye

Publication Date

June 25, 2020

Submission Date

December 17, 2019

Acceptance Date

April 10, 2020

Published in Issue

Year 2020 Volume: 41 Number: 2

DOI

https://doi.org/10.17776/csj.660226

IZ

https://izlik.org/JA28EN86XC

APA

Yıldırım, S. (2020). An efficient method for the plane vibration analysis of composite sandwich beam with an orthotropic core. Cumhuriyet Science Journal, 41(2), 521-526. https://doi.org/10.17776/csj.660226

AMA

1.Yıldırım S. An efficient method for the plane vibration analysis of composite sandwich beam with an orthotropic core. CSJ. 2020;41(2):521-526. doi:10.17776/csj.660226

Chicago

Yıldırım, Sefa. 2020. “An Efficient Method for the Plane Vibration Analysis of Composite Sandwich Beam With an Orthotropic Core”. Cumhuriyet Science Journal 41 (2): 521-26. https://doi.org/10.17776/csj.660226.

EndNote

Yıldırım S (June 1, 2020) An efficient method for the plane vibration analysis of composite sandwich beam with an orthotropic core. Cumhuriyet Science Journal 41 2 521–526.

IEEE

[1]S. Yıldırım, “An efficient method for the plane vibration analysis of composite sandwich beam with an orthotropic core”, CSJ, vol. 41, no. 2, pp. 521–526, June 2020, doi: 10.17776/csj.660226.

ISNAD

Yıldırım, Sefa. “An Efficient Method for the Plane Vibration Analysis of Composite Sandwich Beam With an Orthotropic Core”. Cumhuriyet Science Journal 41/2 (June 1, 2020): 521-526. https://doi.org/10.17776/csj.660226.

JAMA

1.Yıldırım S. An efficient method for the plane vibration analysis of composite sandwich beam with an orthotropic core. CSJ. 2020;41:521–526.

MLA

Yıldırım, Sefa. “An Efficient Method for the Plane Vibration Analysis of Composite Sandwich Beam With an Orthotropic Core”. Cumhuriyet Science Journal, vol. 41, no. 2, June 2020, pp. 521-6, doi:10.17776/csj.660226.

Vancouver

1.Sefa Yıldırım. An efficient method for the plane vibration analysis of composite sandwich beam with an orthotropic core. CSJ. 2020 Jun. 1;41(2):521-6. doi:10.17776/csj.660226

Cited By

Influence of Porosity on the Free Vibration Response of Sandwich Functionally Graded Porous Beams

Journal of Sustainable Construction Materials and Technologies

https://doi.org/10.47481/jscmt.1165940

Dynamic Analysis of Isotropic Homogeneous Beams Using the Method of Initial Functions and Comparison with Classical Beam Theories and FEM

Complexity

https://doi.org/10.1155/2023/6636975

As of 2026, Cumhuriyet Science Journal will be published in six issues per year, released in February, April, June, August, October, and December