Thermomechanical vibration response of nickel foam nanoplates

This article studies the buckling properties of nickel foam nanoplate. This research used nonlocal strain gradient elasticity and the new theory of sinusoidal higher-order deformation. After deriving the nanoplate's equations of motion from Hamilton's principle, the Navier technique was used to solve them. Two different kinds of foam models, uniform and symmetric, can be used to depict the nanoplate. Examining the nanoplate's dimensionless fundamental natural frequencies was the study's primary goal. The effects of temperature difference, nonlocal parameters, foam void ratio, and two different kinds of foam were considered in this investigation. In this context, the nanoplate's natural frequency decreases by 23.78% in the symmetric foam model and 51.5% in the uniform foam model as the foam void ratio increases. The research provides valuable insights for the development of nanoelectromechanical systems (NEMS), nanosensors, and transducers intended for high-temperature environments. By analyzing the impact of temperature and foam void ratio on nanoplate stability, the study informs material selection and structural design for applications where performance under thermal stress is critical, such as in aerospace and energy sectors.