回転・伸展を伴う異方性構造物の動的挙動・安定領域解析に関する研究

Abstract

This study is to propose a useful simple method in the case of initial design for analyzing beam — like anisotropy structures with rotation and/or extension. The anisotropic beam like structure with rotation and extension is modeled as following simplified structures; the mass-less beam which can only change length over time, and the rigid disk which can only change weight according to the length of beam. Using this model, the equation of motion is formulated to consider bending, extension and rotation. In this formulation, the follower force by inertia during extension is also considered. The stable region and the equation of motion are given which describe the dynamic behavior of beam's tip. To evaluate the validity of the numerical simulation results, the experimental apparatus is developed, which can change the length of anisotropic beams during rotation, and the displacement of beam's tip motion are measured. By the comparison of the displacement of beam's tip from rotation center, the analytical results become bigger than the experimental ones just after the extension. That displacement difference just after extension depends on the quantification of the eccentricity, which value changes correspond to the length. But considering about the internal damping, the simulation results get the qualitative tendency of the dynamic behavior of during extension and after extension.