Experimental study on dynamic characteristics of a high-speed rolling ball bearing support system with rubber rings
The study presented in this paper experimentally studied the dynamic characteristics of the high-speed rolling ball bearing support system with rubber rings in the filament winding head of rotating machinery. First, a test-bed was established. Then, the amplitude-frequency relationship of the support system with three kinds different compression of rubber rings was measured and their relationship with respect to the structure of the support system with rubber rings was established. In particular, the equivalent stiffness and damping of the support system were calculated. This relationship is conducive to the optimization of design and vibration control of this kind of machinery.
In this article, we derive error estimates for the Galerkin approximation of a general linear second order hyperbolic equation. The results can be applied to a variety of cases, for example, vibrating systems of linked elastic bodies. The results generalize the work of Baker [1] and also allow for viscous type damping. Splitting the proofs for the semi-discrete and fully discrete cases not only simplifies the proofs but less restrictive regularity assumptions are required.