On dynamic-vibration analysis of temperature-dependent Timoshenko microbeam possessing mutable nonclassical length scale parameter

In this research paper, lateral vibration analysis of simply-supported microbeam under thermal stress is investigated. Microbeam model is presented based on the modified couple stress theory and Timoshenko beam theory. Thermo-mechanical properties of the microbeam are assumed variable by temperature shifts. This means that any shift in the temperature leads to different thermo-mechanical properties. Thermal stress is induced to the system due to the temperature difference between the lateral surfaces and the system itself. Major novelty of the current research includes the variable nonclassical length scale parameter. The mentioned parameter derived from the modified couple stress theory is assumed variable based on the power law. Hamilton's approach is taken to derive the system of governing equations of motion. The mentioned coupled system of equations is solved using the Navier method. For verification, current results are compared with those available at benchmark. This research implies the importance of temperature, distribution profile of nonclassical length scale parameter, and slenderness ratio upon dynamic responses of the present model based on both classical and modified couple stress theories.