Dynamic Analysis of Spinning Beam Systems
Summary
Dynamic analysis of spinning beam systems encompasses the study of rotating slender structures—such as shafts, blades and rods—subject to flexural vibration, gyroscopic coupling and inertial forces. Models range from classical Euler–Bernoulli formulations to refined Timoshenko theories that incorporate shear deformation and rotary inertia, yielding more accurate predictions of natural frequencies and mode shapes at high spin rates. In rotating coordinates, Coriolis and centrifugal forces introduce non-conservative effects that can drive whirling motions or self-excited vibrations. Governing equations are often derived via Hamilton’s principle, leading to complex eigenvalue problems whose solutions define stability boundaries and critical spinning speeds. Fluid–structure interactions arise when beams enclose or interact with liquids, as in fluid-filled rotors or self-balancing devices, where fluid inertia, damping and added mass reshape dynamic responses. Advances in analytical, numerical and experimental methods have clarified the influence of mass distribution, boundary conditions and geometric parameters on instability thresholds. These insights underpin the design of turbomachinery, agricultural harvesters and precision instruments, where suppression of excessive vibration and avoidance of resonance are essential for reliability and performance.
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Dynamic Analysis of Spinning Beam Systems publication trend
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Technical terms
Timoshenko beam theory: A beam model that accounts for both shear deformation and rotary inertia, providing improved accuracy at higher frequencies and spin rates.
Whirling: The precessional motion of a rotating beam or rotor about its axis, often leading to complex vibration patterns.
Coriolis force: An apparent inertial force experienced by moving masses in a rotating frame, proportional to angular velocity and transverse motion.
Critical spinning speed: The rotation rate at which dynamic instability or resonance occurs, marking a boundary between stable and unstable operation.
Mass ratio: The proportion of fluid or added mass relative to the beam’s own mass, affecting natural frequencies and damping characteristics.
References
- Whirl dynamics of an axially functionally graded liquid-filled rotor considering shear deformation and rotary inertia. AIP Advances (2022).
- The Inertial Disturbances of Fluid Movement in the Chamber of a Liquid Autobalancer. Machines (2024).
- Dynamic analysis for the thresher of a combined harvester subjected to stalk winding. AIP Advances (2022).
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