The effects of Casimir, van der Waals and electrostatic forces on the response of nanosensor beams

The governing equations of the nanosensor beams have been modified to account for the nonlocal strain gradient effect, which considers the impact of material microstructure to capture the size-dependent behavior of the beams accurately. Additionally, surface and Casimir forces, which result from the interaction between the nanosensor beam and its environment, are deemed to be a precise representation of the system's performance on the nanoscale. The mechanical response of nanoscale structures is significantly influenced by intermolecular forces, which encompass van der Waals interactions and are therefore considered in the analysis. The present study employs analytical and numerical techniques to examine the interdependent influence of multiple factors on the thermal vibration and buckling behavior of magneto-electro-elastic functionally graded higher-order nanosensor beams. The investigation provides essential insights into the behavior of these very complex nanosensors in a variety of operational settings, and it also adds to the improvement of their configuration and effectiveness. The findings of this work contribute to a better knowledge of the intricate behavior of nanostructures and have relevant implications for the development of high-capacity nanosensor devices in a wide variety of sectors, such as biological sensing, environmental monitoring, and structural health monitoring devices.