Dynamic Characteristics of Multi-span Spinning Beams with Elastic Constraints under Axial Compressive Force
Xiaodong Guo, Zhu Su, Lifeng Wang
Abstract: In this paper, a theoretical model for a multi-span spinning beam with elastic constraints under axial compressive force is proposed. The displacement and bending angle functions are represented via an improved Fourier series, which ensures the continuity of the derivative at the boundary and accelerates its convergence. The exact characteristic equations of multi-span spinning beams under elastic constraint and subjected to axial compressive force are derived by using Lagrange equation. The efficiency and accuracy of this method are verified by comparison with the finite element method and other methods. Then, the effects of the boundary spring stiffness, number of spans, spinning velocity, and axial compressive force on the dynamic characteristics of multi-span spinning beams are studied. The results show that this method can freely simulate any boundary constraints without modifying the solution process. The elastic range of the linear spring is larger than that of the torsion spring, and it is not affected by the number of spans. With increasing axial compressive force, the attenuation rate of the natural frequency of a spinning beam with a large number of spans is fast, the attenuation rate with the elastic boundary is smaller than with the classic simply boundary.
文章链接：https://link.springer.com/article/10.1007/s10483-024-3082-9
