A rational derivation of dynamic higher order equations for functionally graded micropolar plates

Abadikhah, Hossein; Folkow, Peter D.

doi:10.1016/j.compstruct.2016.05.090

Cited by 9 publications

(1 citation statement)

References 36 publications

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“…The method has also been employed for plates that are anisotropic [22], porous [23] and functionally graded [24]. Abadikhah and Folkow have also here studied plates that are micropolar [25] and micropolar functionally graded [26]. Approximate equations for isotropic and anisotropic functionally graded cylindrical shells are also constructed using the present method [27,28].…”

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confidence: 99%

A hierarchy of dynamic equations for solid isotropic micropolar circular cylinders

Abadikhah

Folkow

2019

Journal of Sound and Vibration

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This work considers the derivation procedure and evaluation of dynamic equations for isotropic micropolar circular cylinders by adopting a power series expansion method in the radial coordinate. Variationally consistent equations of motion together with pertinent sets of boundary conditions are expressed in a systematic fashion up to arbitrary order. The numerical results cover eigenfrequencies, mode shapes and field distributions over cross sections for axisymmetric and flexural motion adopting different sets of end boundary conditions for equations of different truncation orders of the present method. The results illustrate that the present approach may render benchmark solutions provided that higher order equations are used, and act as accurate approximate engineering solution for lower order equations.

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