TY - JOUR
T1 - A porous microbeam model for bending and vibration analysis based on the sinusoidal beam theory and modified strain gradient theory
AU - Wang, Yan Qing
AU - Zhao, Hu Long
AU - Ye, Chao
AU - Zu, Jean W.
N1 - Publisher Copyright:
© 2018 World Scientific Publishing Europe Ltd.
PY - 2018/6/1
Y1 - 2018/6/1
N2 - In this research, we analyze size-dependent bending and vibration of microbeams made of porous metal foams. The porous microbeam model is developed based on the sinusoidal beam theory and the modified strain gradient theory. Hamilton's principle is employed to obtain the governing equations and boundary conditions of the porous microbeam. Analytical solutions are presented for deflections and natural frequencies of the porous microbeam by using Navier's method. The influences of the porosity distribution, the porosity coefficient, the slenderness ratio, and the microbeam thickness are clarified on the static bending and free vibration of porous microbeams. These findings can be applied to the design of metal foam microstructures in engineering.
AB - In this research, we analyze size-dependent bending and vibration of microbeams made of porous metal foams. The porous microbeam model is developed based on the sinusoidal beam theory and the modified strain gradient theory. Hamilton's principle is employed to obtain the governing equations and boundary conditions of the porous microbeam. Analytical solutions are presented for deflections and natural frequencies of the porous microbeam by using Navier's method. The influences of the porosity distribution, the porosity coefficient, the slenderness ratio, and the microbeam thickness are clarified on the static bending and free vibration of porous microbeams. These findings can be applied to the design of metal foam microstructures in engineering.
KW - Porous metal foam microbeam
KW - bending
KW - free vibration
KW - modified strain gradient theory
KW - sinusoidal beam theory
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U2 - 10.1142/S175882511850059X
DO - 10.1142/S175882511850059X
M3 - Article
AN - SCOPUS:85049653831
SN - 1758-8251
VL - 10
JO - International Journal of Applied Mechanics
JF - International Journal of Applied Mechanics
IS - 5
M1 - 1850059
ER -