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On propagation of elastic waves in an embedded sigmoid functionally graded curved beam
Linyun Zhou,Zohre Moradi,Haneen M. Al-Tamimi,H. Elhosiny Ali 국제구조공학회 2022 Steel and Composite Structures, An International J Vol.44 No.1
This investigation studies the characteristics of wave dispersion in sigmoid functionally graded (SFG) curved beams lying on an elastic substrate for the first time. Homogenization process was performed with the help of sigmoid function and two power laws. Moreover, various materials such as Zirconia, Alumina, Monel and Nickel steel were explored as curved beams materials. In addition, curved beams were rested on an elastic substrate which was modelled based on Winkler Pasternak foundation. The SFG curved beams’ governing equations were derived according to Euler Bernoulli curved beam theory which is known as classic beam theory and Hamilton’s principle. The resulted governing equations were solved via an analytical method. In order to validate the utilized method, the obtained outcomes were compared with other researches. Finally, the influences of various parameters, including wave number, opening angle, gradient index, Winkler coefficient and Pasternak coefficient were evaluated and indicated in the form of diagrams.
Ke Ding,Hu Jia,Jun Xu,Yi Liu,Haneen M. Al-Tamimi,Mohamed Amine Khadimallah 국제구조공학회 2022 Structural Engineering and Mechanics, An Int'l Jou Vol.83 No.4
In this research, a numerical study has been provided for examining the nonlinear stability behaviors of sandwich beams having a cellular core and two face sheets made of nanocomposites. The nonlinear stability behaviors of the sandwich beam having geometrically perfect/imperfect shapes have been studied when it is subjected to a compressive buckling load. The nanocomposite face sheets are made of epoxy reinforced by graphene oxide powders (GOPs). Also, the core has the shape of a honeycomb with regular configuration. Using finite element method based on a higher-order deformation beam element, the system of equations of motions have been solved to derive the stability curves. Several parameters such as face sheet thickness, core wall thickness, graphene oxide amount and boundary conditions have remarkable influences on stability curves of geometrically perfect/imperfect sandwich beams.