本文针对具有大范围运动和非线性变形的空间柔性粱,导出其在运动规律已知的非惯性坐标系下的动力学方程.通过计算分析,发现在本文精确模型下,其各矩阵项较原来的一次耦合模型增加了两类耦合项.通过仿真研究,发现由于这两类耦合项的作用造成了附加刚度项K_1、动力刚度项K_d的变化,而刚度项对结构的动力学特性具有较大的影响.
In this paper,the dynamic properties of a spatial flexible beam with large overall motion and nonlinear deformation in non-inertial reference frame are investigated.The dynamic response of the present model is compared with those of zero-order approximate model and one-order coupling model.Then changing of dynamic stiffening terms due to the new coupling terms is discussed according to different models.At the same time,the effect of initial static deformation on the tip is considered to study the vibrant deformation of flexible beam.In addition,when the overall motion is free,the rigid-flexible coupling dynamic theory is extended to spatial structure from planar structure.The difference among zero-order approximate model,one-order coupling model and the present exact model is revealed by the frequency spectrum analysis method and concludes that the speed of overall motion is a vital cause for the difference among different models.And the dynamic stiffening phenomenon still exists in a rigid-flexible coupling system while the overall motion is free.