Vibrational Characteristics of the Thickness Stretched Sport Plates

In this work, the vibrational behavior of the rectangular microplates is formulated based on higher-order shear deformation theory considering thickness stretching.

The governing equations of motion are derived using Hamilton’s principle through the computation of various energy terms. The effect of micro lengths of the microplate is accounted based on the modified couple stress theory. To arrive at a more accurate result, the true variation in shear strain is employed using a higher-order shear deformable model.

The vibrational characteristics of the microplate are estimated with changes of various parameters such as side length ratio, length-to-thickness ratio, and various mode shapes in terms of different micro scale parameters. A comparative study is presented for justification of the numerical results. The main purpose of this work is small-scale-dependent formulation of a microplate using the mathematical formulation and Hamilton’s principle. Effect of small scale parameters is accounted on the responses based on the MCST.

An enhancement in natural frequencies is deduced with an increase in micro parameters of employed theory.