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This study investigates the vibration behavior of nano-scale Timoshenko beams with non-uniform cross-sections that rotate simultaneously around two perpendicular axes. The researchers employed the differential quadrature method as a numerical technique to solve the governing equations and analyze the free transverse vibrations of these complex rotating nanosystems. The work accounts for rotary inertia and shear deformation effects, which are important considerations in Timoshenko beam theory at the nanoscale.
Why it matters
Understanding the vibrational characteristics of rotating nanobeams is crucial for designing nanoscale mechanical devices, sensors, and actuators used in MEMS/NEMS applications. The analytical framework developed could help engineers predict and control the dynamic behavior of rotating nanostructures in aerospace, biomedical devices, and precision instrumentation.