Analysis uncovers dynamic behaviors and frequency impacts in perforated nanobeams, suggesting design refinements for mechanical applications.
Perforation is a common practice for structural members to improve accuracy and performance of mechanical devices. This fabrication procedure is applied in nanobeams for engineering applications. Perforated nanobeams are helpful to reduce noise, control damping, and for better heat exchange in various nano mechanical devices. In this article the vibration of perforated Euler nanobeam under rotation is investigated. Nonlocal Strain Gradient Theory is incorporated to capture the stress strain effects on nanoscale. Differential Quadrature Method (DQM) is implemented to obtain the frequency parameters under two boundary conditions clamped simply supported (CS) and clamped free (CF). Furthermore, the obtained results are validated with existing literature. The obtained results reveal that the perforation configuration, rotating speed, length scale, and nonlocal parameters have remarkable influences on the dynamic behaviors of the rotating perforated nanobeam. In addition, the effects of rotational velocity of the beam increase frequency parameters significantly, and this is most noticeable for the fundamental frequency parameters under both the boundary conditions. The dynamic behaviors are different for perforated nanobeam with respect to solid beam due to lesser shear effects. All the results are presented using tables and graphs. The model is relevant for mechanical design in various engineering structures to maintain accuracy with lightweight.
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Karmakar et al. (2025) studied this question.
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