Eur. Phys. J. Plus (2021) 136: 1046
https://doi.org/10.1140/epjp/s13360-021-02032-4

Regular Article

Dynamic response of double-microbeam system made of transverse, longitudinal, and two-dimensional functionally graded materials

¹ School of Mechanical and Aerospace Engineering, Nanyang Technological University (NTU), 639798, Singapore, Singapore
² Institute of Solid Mechanics, School of Aeronautic Science and Engineering, Beihang University (BUAA), 100191, Beijing, China

^a huliu5260@gmail.com, hu.liu@ntu.edu.sg

Received: 18 April 2021
Accepted: 3 October 2021
Published online: 18 October 2021

Abstract

Although the mechanical behaviors of functionally graded (FG) single microbeams have been extensively revealed, the effect of FG material distribution on the dynamic performance of the double-microbeam system (DMBS) is not well understood. This paper aims to present a general higher-order shear deformation theory to analyze the dynamic behaviors of DMBS made of three types of FG material including the transverse, longitudinal, and two-dimensional distributions. The theoretical formulation is explored based on the modified couple stress theory and the Hamilton principle, and the numerical analysis is carried out via the Ritz method. Several comparisons with previous works are conducted to validate the present model. The influence of some key factors, i.e., size scale parameter and elastic interlayer stiffness on the free vibration, and dynamic performance of the functionally graded double-microbeam system (FG-DMBS) are analyzed in detail. More attention is paid to the effect induced by the FG material distribution type (transverse, longitudinal, and two-dimensional distributions) and FG index. It is expected that the present work can provide some guidelines for designing the double-microstructure system made of multi-functional and multi-graded materials.