期刊
THIN-WALLED STRUCTURES
卷 173, 期 -, 页码 -出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.tws.2022.108981
关键词
Moving; acceleration load; Porous E-FGM microplates; General third-order shear deformation theory; Modified couple stress theory
资金
- Natural Science Foundation of Shandong Province [ZR2020KE004]
- Qingdao Postdoctoral Applied Research Project
This research study investigates the dynamic analysis of exponentially functionally graded material (E-FGM) including porosities for the first time. The forced vibration response of thick microplates made of porous E-FGM subjected to moving loads with an acceleration in speed is studied. A powerful mathematical formulation is developed to find an accurate model for thick size-dependent microplates. The numerical results indicate the influence of various parameters on the vibration response of the microplate under moving loads.
For the first time, dynamic analysis of exponentially functionally graded material (E-FGM) including porosities is investigated. As a first endeavor, forced vibration response of thick microplates made of porous E-FGM when subjected to moving loads with an acceleration in speed is studied in this research study. The role of a two-parameter elastic foundation is also included. A powerful mathematical formulation supported by the assumptions of the general third-order shear deformation theory (GTSDT) as well as the modified couple stress theory (MCST) is developed to find an accurate model for thick size-dependent microplates. The effective material properties of imperfect FGM, which change exponentially along the z-direction, are established via developing a modified rule of mixture which includes the porosity imperfection. The governing equations for simply-supported microplate is found using a virtual work of Hamilton principle, and afterwards they are solved by developing a state space method (SSM) in conjunction with a set of mathematical series. The numerical results attempt to indicate the influence of variation in volume fraction index, porosity index, elastic foundations, and small-scale parameter, highlighted by different load speeds, acceleration ratios, and time histories of moving load under upper surface of E-FGM thick microplate. The parametrical studies can be used in better designing of micro/nanostructures made of porous FGMs under accelerated moving loads.
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