A MICROSCALE BEAM THEORY CONSIDERING SURFACE EFFECT BASED ON THE STATE SPACE METHOD
Development of MEMS/NEMS leads to much academic attention paid on the nanoscale structures.The mechanical behavior of these nanoscale structures should be understood in detail for the sake of design and manufacture of MEMS/NEMS.Unlike the common structures at macroscale, size effect usually plays a significant role in nanoscale structures which has been found in many experimental studies and numerical simulations.Therefore, the surface effect must be considered for the analysis of materials and structures at nanoscale.This work proposed a new microscale beam theory based on the state space method and variational principle of mixed energy in Hamiltonian system.The surface stresses are related to the bulk stresses and displacements by the state equations.The equilibrium equations of the stress resultants are derived through the stationary condition of the mixed energy as well as the constitutive relation between the shear force and displacements.Finally, a numerical example illustrates the proposed theory.
Surface effect State space method Microscale beam
Fan HONG Yun WANG
School of Mechanical Engineering, Hangzhou Dianzi University, Hangzhou 310018, China
国际会议
The 2017 Symposium on Piezoelectricity,Acoustic Waves and Device Applications(2017全国压电和声波理论及器件技术研讨会)
成都
英文
420-423
2017-10-27（万方平台首次上网日期，不代表论文的发表时间）