Open Access Open Access  Restricted Access Subscription Access

Dynamic responses of an inclined FGSW beam traveled by a moving mass based on a moving mass element theory

Tran Thi Thom, Nguyen Dinh Kien, Le Thi Ngoc Anh

Abstract


Dynamic analysis of an inclined functionally graded sandwich (FGSW) beam traveled by a moving mass is studied. The beam is composed of a fully ceramic core and two skin layers of functionally graded material (FGM). The material properties of the FGM layers are assumed to vary in the thickness direction by a power-law function, and they are estimated by Mori-Tanaka scheme. Based on the first-order shear deformation theory, a moving mass element, taking into account the effect of inertial, Coriolis and centrifugal forces, is derived and used in combination with Newmark method to compute dynamic responses of the beam. The element using hierarchical functions to interpolate the displacements and rotation is efficient, and it is capable to give accurate dynamic responses by small number of the elements. The effects of the moving mass parameters, material distribution, layer thickness ratio and inclined angle on the dynamic behavior of the FGSW beam are examined and highlighted.


Keywords


inclined FGSW beam; hierarchical functions; moving mass element; Mori-Tanaka scheme; dynamic responses

Full Text:

PDF

References


R. K. Bhangale and N. Ganesan. Thermoelastic buckling and vibration behavior of a functionally graded sandwich beam with constrained viscoelastic core. Journal of Sound and Vibration, 295, (1-2), (2006), pp. 294–316. https://doi.org/10.1016/j.jsv.2006.01.026.

M. C. Amirani, S. M. R. Khalili, and N. Nemati. Free vibration analysis of sandwich beam with FG core using the element free Galerkin method. Composite Structures, 90, (3), (2009), pp. 373–379. https://doi.org/10.1016/j.compstruct.2009.03.023.

T. Q. Bui, A. Khosravifard, C. Zhang, M. R. Hematiyan, and M. V. Golub. Dynamic analysis of sandwich beams with functionally graded core using a truly meshfree radial point interpolation method. Engineering Structures, 47, (2013), pp. 90–104. https://doi.org/10.1016/j.engstruct.2012.03.041.

Y. Yang, C. C. Lam, K. P. Kou, and V. P. Iu. Free vibration analysis of the functionally graded sandwich beams by a meshfree boundary-domain integral equation method. Composite Structures, 117, (2014), pp. 32–39. https://doi.org/10.1016/j.compstruct.2014.06.016.

T. P. Vo, H.-T. Thai, T.-K. Nguyen, A. Maheri, and J. Lee. Finite element model for vibration and buckling of functionally graded sandwich beams based on a refined shear deformation theory. Engineering Structures, 64, (2014), pp. 12–22. https://doi.org/10.1016/j.engstruct.2014.01.029.

T. P. Vo, H.-T. Thai, T.-K. Nguyen, F. Inam, and J. Lee. A quasi-3D theory for vibration and buckling of functionally graded sandwich beams. Composite Structures, 119, (2015), pp. 1–12. https://doi.org/10.1016/j.compstruct.2014.08.006.

T.-K. Nguyen, T. P. Vo, B.-D. Nguyen, and J. Lee. An analytical solution for buckling and vibration analysis of functionally graded sandwich beams using a quasi-3D shear deformation theory. Composite Structures, 156, (2016), pp. 238–252. https://doi.org/10.1016/j.compstruct.2015.11.074.

T. P. Vo, H.-T. Thai, T.-K. Nguyen, F. Inam, and J. Lee. Static behaviour of functionally graded sandwich beams using a quasi-3D theory. Composites Part B: Engineering, 68, (2015), pp. 59–74. https://doi.org/10.1016/j.compositesb.2014.08.030.

Z. Su, G. Jin, Y.Wang, and X. Ye. A general Fourier formulation for vibration analysis of functionally graded sandwich beams with arbitrary boundary condition and resting on elastic foundations. Acta Mechanica, 227, (5), (2016), pp. 1493–1514. https://doi.org/10.1007/s00707-016-1575-8.

M. Simsek and M. Al-shujairi. Static, free and forced vibration of functionally graded (FG) sandwich beams excited by two successive moving harmonic loads. Composites Part B: Engineering, 108, (2017), pp. 18–34. https://doi.org/10.1016/j.compositesb.2016.09.098.

T. O. Awodola, S. A. Jimoh, and B. B. Awe. Vibration under variable magnitude moving distributed masses of non-uniform Bernoulli-Euler beam resting on Pasternak elastic foundation. Vietnam Journal of Mechanics, 41, (1), (2019), pp. 63–78. https://doi.org/10.15625/0866-7136/12781.

A. O. Cifuentes. Dynamic response of a beam excited by a moving mass. Finite Elements in Analysis and Design, 5, (3), (1989), pp. 237–246. https://doi.org/10.1016/0168-874x(89)90046-2.

E. Esmailzadeh and M. Ghorashi. Vibration analysis of a Timoshenko beam subjected to a travelling mass. Journal of Sound and Vibration, 199, (4), (1997), pp. 615–628. https://doi.org/10.1016/s0022-460x(96)99992-7.

M. Simsek. Vibration analysis of a functionally graded beam under a moving mass by using different beam theories. Composite Structures, 92, (4), (2010), pp. 904–917. https://doi.org/10.1016/j.compstruct.2009.09.030.

I. Esen, M. A. Koc, and Y. Cay. Finite element formulation and analysis of a functionally graded Timoshenko beam subjected to an accelerating mass including inertial effects of the mass. Latin American Journal of Solids and Structures, 15, (10), (2018). https://doi.org/10.1590/1679-78255102.

J.-J. Wu. Dynamic analysis of an inclined beam due to moving loads. Journal of Sound and Vibration, 288, (1-2), (2005), pp. 107–131. https://doi.org/10.1016/j.jsv.2004.12.020.

A. Mamandi and M. H. Kargarnovin. Dynamic analysis of an inclined Timoshenko beam traveled by successive moving masses/forces with inclusion of geometric nonlinearities. Acta Mechanica, 218, (1-2), (2010), pp. 9–29. https://doi.org/10.1007/s00707-010-0400-z.

E. Bahmyari, S. R. Mohebpour, and P. Malekzadeh. Vibration analysis of inclined laminated composite beams under moving distributed masses. Shock and Vibration, 2014, (2014), pp. 1–12. https://doi.org/10.1155/2014/750916.

J. E. Akin. Finite elements for analysis and design. Academic Press, London, (1994).

A. Tessler and S. B. Dong. On a hierarchy of conforming Timoshenko beam elements. Computers & Structures, 14, (3-4), (1981), pp. 335–344. https://doi.org/10.1016/0045-7949(81)90017-1.

D. K. Nguyen and T. T. Tran. Free vibration of tapered BFGM beams using an efficient shear deformable finite element model. Steel and Composite Structures, 29, (3), (2018), pp. 363–377. https://doi.org/10.12989/scs.2018.29.3.363.

A. Fallah and M. M. Aghdam. Nonlinear free vibration and post-buckling analysis of functionally graded beams on nonlinear elastic foundation. European Journal of Mechanics - A/-Solids, 30, (4), (2011), pp. 571–583. https://doi.org/10.1016/j.euromechsol.2011.01.005.




DOI: https://doi.org/10.15625/0866-7136/14098 Display counter: Abstract : 167 views. PDF : 26 views.

Refbacks

  • There are currently no refbacks.


Copyright (c) 2019 Vietnam Academy of Science and Technology


                       


Editorial Office of Vietnam Journal of Mechanics

3rd Floor, A16 Building, 18B Hoang Quoc Viet Street, Cau Giay District, Hanoi, Vietnam

Tel: (+84) 24 3791 7103

Email: vjmech@vjs.ac.vn