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- Title
1472. Closed-form solution of curved beam model of elastic mechanical wheel.
- Authors
Bo Li; Youqun Zhao; Liguo Zang
- Abstract
Based on the Timoshenko curved beam theory, a novel and feasible closed-form solution was proposed to deal with the internal mechanics characteristics of mechanical elastic wheel (MEW). With the Laplace transformation and boundary conditions, the governing differential equations was reduced to a single equation in regard to the rotation angle of curved beam, so as to reveal the relationship among the radial deformation, the tangential deformation and the curved angle. Furthermore, by adopting the Frobenius theory and the Green function, six normalized solutions of equations, the general solution and the free vibration of system equations were obtained. In the end, structure mechanics and vibration modal experiments were carried out and the results show that the analytical model is applicable for the experimental results.
- Subjects
CURVED beams; ELASTICITY; TIMOSHENKO beam theory; LAPLACE transformation; BOUNDARY value problems; GREEN'S functions; VIBRATION (Mechanics)
- Publication
Journal of Vibroengineering, 2014, Vol 16, Issue 8, p3951
- ISSN
1392-8716
- Publication type
Article