VIBRATION ANALYSIS OF MICROSCALE PLATES BASED ON MODIFIED COUPLE STRESS THEORY

• Published in: Acta mechanica solida Sinica Vol. 23; no. 5; pp. 386 - 393
• Main Authors: Yin, Li, Qian, Qin, Wang, Lin, Xia, Wei
• Format: Journal Article
• Language: English
• Published: Singapore Elsevier Ltd 01.10.2010; Springer Singapore; Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China%Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment,Wuhan 430074,China
• Subjects: Boundary value problems; Classical Mechanics; Dynamic tests; Engineering; Joining; Kirchhoff板; Mathematical analysis; Mathematical models; microscale plate; modified couple stress theory; natural frequency; Plates; Resonant frequency; size effect; Stresses; Surfaces and Interfaces; Theoretical and Applied Mechanics; Thin Films; vibration; Vibration analysis; 偶应力理论; 分析基; 尺寸效应; 微尺度; 板振动; 自然频率; natural frequency; vibration; size effect; modified couple stress theory; microscale plate
• ISSN: 0894-9166; 1860-2134
• DOI: 10.1016/S0894-9166(10)60040-7

A non-classical Kirchhoff plate model is developed for the dynamic analysis of microscale plates based on the modified couple stress theory in which an internal material length scale parameter is included. Unlike the classical Kirchhoff plate model, the newly developed model can capture the size effect of microscale plates. Two boundary value problems of rectangular micro- plates are solved and the size effect on the lowest two natural frequencies is investigated. It is shown that the natural frequencies of the microscale plates predicted by the current model are size-dependent when the plate thickness is comparable to the material length scale parameter.