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Steel and Composite Structures
  Volume 48, Number 4, August25 2023 , pages 419-428

Static and dynamic bending of ball reinforced by CNTs considering agglomeration effect
Chenghong Long, Dan Wang and H.B. Xiang

    In this paper, dynamic and static bending of ball modelled by nanocomposite microbeam by nanoparticles seeing agglomeration is presented. The structural damping is considered by Kelvin-Voigt model. The agglomeration effects are assumed using Mori-Tanaka model. The football ball is modeled by third order shear deformation theory (TSDT). The motion equations are derived by principle of Hamilton's and energy method assuming size effects on the basis of Eringen theory. Using differential quadrature method (DQM) and Newmark method, the static and dynamic deflections of the structure are obtained. The effects of agglomeration and CNTs volume percent, damping of structure, nonlocal parameter, length and thickness of micro-beam are presented on the static and dynamic deflections of the nanocomposite structure. Results show that with increasing CNTs volume percent, the maximum dimensionless dynamic deflection is reduced about 17%. In addition, assuming CNTs agglomeration increases the dimensionless dynamic deflection about 14%. It is also found that with increasing the CNTs volume percent from 0 to 0.15, the static deflection is decreased about 3 times due to the enhance in the stiffness of the structure. In addition, with enhancing the nonlocal parameters, the dynamic deflection is increased about 3.1 times.
Key Words
    agglomeration effects; CNTs; dynamic response; micro-beam; TSDT
Chenghong Long:Sport Department, Chongqing Jiaotong University, Chongqing 400074, China

Dan Wang:School of Physical Education, Hubei University of Science and Technology, Xianning, 437100, Hubei, China

H.B. Xiang:Department of Civil Engineering, Murdoch University of Western Australia

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