On the existence of periodic solution for equation of motion of thick beams having arbitrary cross section with tip mass under harmonic support motion
Source abstract
Abstract
A cantilever beam having arbitrary cross section with a lumped mass attached to its free end while being excited harmonically at the base is fully investigated. The derived equation of vibrating motion is found to be a non-linear parametric ordinary differential equation, having no closed form solution for it. We have, therefore, established the sufficient conditions for the existence of periodic oscillatory behavior of the beam using Green’s function and employing Schauder’s fixed point theorem.
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Research context
OpenAlex topics: Vibration and Dynamic Analysis · Composite Structure Analysis and Optimization · Dynamics and Control of Mechanical Systems
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References (31)
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