Journal
MECCANICA
Volume 48, Issue 4, Pages 863-873Publisher
SPRINGER
DOI: 10.1007/s11012-012-9639-x
Keywords
Micro plates; Elastic medium; Size effect; Modified couple stress theory
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Analytical solutions for bending, buckling, and vibration of micro-sized plates on elastic medium using the modified couple stress theory are presented. The governing equations for bending, buckling and vibration are obtained via Hamilton's principles in conjunctions with the modified couple stress and Kirchhoff plate theories. The surrounding elastic medium is modeled as the Winkler elastic foundation. Navier's method is being employed and analytical solutions for the bending, buckling and free vibration problems are obtained. Influences of the elastic medium and the length scale parameter on the bending, buckling, and vibration properties are discussed.
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