Abstract
Transverse (out-of-plane) vibrations of a rotating nanobeam tapered both in width and thickness are studied on the basis on the Euler-Bernoulli beam theory. The nonuniform nanobeam is modeled with allowance for a small-scale effect contained in the nonlocal Eringen elasticity theory. The axial force due to rotating movement (centrifugal stiffening) of the beam is included into the model. The governing partial differential equation of the structure is solved by implementing the differential transform method (DTM). The variations of the taper ratio, rotational velocity, hub radius, and nonlocal small-scale parameter are taken into consideration. Comparisons of the present results with available data are performed.
Keywords
Stiffening
Physics
Beam (structure)
Vibration
Timoshenko beam theory
Euler's formula
Bernoulli's principle
Differential equation
Mechanics
Elasticity (physics)
Transverse plane
Rotation (mathematics)
Classical mechanics
Mathematical analysis
Materials science
Optics
Mathematics
Geometry
Structural engineering
Acoustics
Subject Areas
Nonlocal and gradient elasticity in micro/nano structures
·Materials Chemistry ·Physical Sciences
Composite Structure Analysis and Optimization
·Mechanics of Materials ·Physical Sciences
Numerical methods in engineering
·Mechanics of Materials ·Physical Sciences
Citations by Year
2020: 2
2021: 1
2023: 1
2025: 1
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