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Forced Vibration of the Initially Stressed Rectangular Plates with Holes and Inclusions

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Dynamics of Pre-Strained Bi-Material Elastic Systems

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Abstract

In the present chapter, according to papers by Akbarov et al. (Mech Compos Mater 46(3):287–298, 2010; Comput Mater Continua 2(28):147–164, 2012) and by Babuscu Yesil (J Eng Mech ASME, 2015), we attempt to investigate the forced vibration of the pre-stretched rectangular plates with holes (Akbarov et al. in Mech Compos Mater 46(3):287–298, 2010; Comput Mater Continua 2(28):147–164, 2012) and with inclusions (Babuscu Yesil in J Eng Mech ASME, 2015). The corresponding boundary value problems on the forced vibrations are formulated within the scope of the second version of the three-dimensional linearized theory of elastic waves in initially stressed bodies (TDLTEWISB) (see Guz in Fundamentals of the three-dimensional theory of stability of deformable bodies. Springer, Berlin, 1999) and solved numerically by employing finite element method (FEM). The numerical results on the influence of the initial stresses on the stress concentration around the cavities and inclusions, as well as on the fundamental frequencies of the plate are presented and discussed.

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Authors and Affiliations

  1. Faculty of Mechanics, Yildiz Technical University, Yildiz, Turkey

    Surkay D. Akbarov

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  1. Surkay D. Akbarov
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Correspondence to Surkay D. Akbarov .

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Akbarov, S.D. (2015). Forced Vibration of the Initially Stressed Rectangular Plates with Holes and Inclusions. In: Dynamics of Pre-Strained Bi-Material Elastic Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-14460-3_10

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  • DOI: https://doi.org/10.1007/978-3-319-14460-3_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-14459-7

  • Online ISBN: 978-3-319-14460-3

  • eBook Packages: EngineeringEngineering (R0)

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