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Steel and Composite Structures
  Volume 36, Number 2, July25 2020 , pages 179-186

On resonance behavior of porous FG curved nanobeams
Gui-Lin She, Hai-Bo Liu and Behrouz Karami

    In this paper, the forced resonance vibration of porous functionally graded (FG) curved nanobeam is examined. In order to capture the hardening and softening mechanisms of nanostructure, the nonlocal strain gradient theory is employed to build the size-dependent model. Using the Timoshenko beam theory together with the Hamilton principle, the equations of motion for the curved nanobeam are derived. Then, Navier series are used in order to obtain the dynamical deflections of the porous FG curved nanobeam with simply-supported ends. It is found that the resonance position of the nanobeam is very sensitive to the nonlocal and strain gradient parameters, material variation, porosity coefficient, as well as geometrical conditions. The results indicate that the resonance position is postponed by increasing the strain gradient parameter, while the nonlocal parameter has the opposite effect on the results. Furthermore, increasing the opening angle or length-to-thickness ratio will result in resonance position moves to lower-load frequency.
Key Words
    resonance phenomena; porous materials; curved nano-beams; nonlocal strain gradient theory
Gui-Lin She: College of Mechanical Engineering, Guizhou University, Guiyang 550025, China
Hai-Bo Liu: College of Mechanical and Electric Engineering, Hunan University of Science and Technology, Xiangtan City, 411201, China
Behrouz Karami: Department of Mechanical Engineering, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran

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