Transverse shear and normal deformation effects on vibration behaviors of functionally graded micro-beams

• 作者: Jie SUN Kaipeng SUN Lifeng WANG Zhu SU
• 来源期刊: 应用数学和力学（英文版）
• 学科: 物理学
• 年，卷（期）: 2020,（9）
• 页码范围: 1303-1320
• 页数: 18页
• 分类号: O321|O327
• 语种: 英文

摘要

A quasi-three dimensional model is proposed for the vibration analysis of functionally graded (FG) micro-beams with general boundary conditions based on the modified strain gradient theory.To consider the effects of transverse shear and normal deformations,a general displacement field is achieved by relaxing the assumption of the constant transverse displacement through the thickness.The conventional beam theories including the classical beam theory,the first-order beam theory,and the higherorder beam theory are regarded as the special cases of this model.The material properties changing gradually along the thickness direction are calculated by the Mori-Tanaka scheme.The energy-based formulation is derived by a variational method integrated with the penalty function method,where the Chebyshev orthogonal polynomials are used as the basis function of the displacement variables.The formulation is validated by some comparative examples,and then the parametric studies are conducted to investigate the effects of transverse shear and normal deformations on vibration behaviors.

作者信息

序号	姓名	单位	发文数	被引次数	H指数	G指数
1	Zhu SU		1	0	0.0	0.0
2	Lifeng WANG		1	0	0.0	0.0
3	Kaipeng SUN		1	0	0.0	0.0
4	Jie SUN		1	0	0.0	0.0