Vibration Control of Rotating Plates and Translating Bands

*9622432本研究项目调查高速装卸和运输腹板材料所产生的剪切力和内力的影响。卷筒纸在空气或其他流体中传输时的褶皱不稳定性和颤动是卷筒纸系统生产率的常见且往往是主要的限制因素。目前的研究提供了研究腹板稳定性和起皱所需的挠度和膜应力状态。采用平移腹板的非线性模型和弯曲刚度的奇异摄动模型，推导出了各种起皱条件下的临界边界剪力、腹板刚度和传输速度之间的关系。用奇异摄动法处理小而有限的弯曲刚度。通过对靠近设计以避免不稳定的表面平移的腹板的颤振和起皱分析来追求传送速度的最大化。*

*** 9622432 Mote This research project investigates its effects of shear and internal forces resulting from handling and transport of web material at high speeds. The wrinkling instability and the flutter of webs transported in air or other fluids are the common, and often the principal, limitations to productivity in web systems. Current research provides the deflection and the state of membrane stress required for study of web stability and wrinkling. Nonlinear modeling of the translating web and a singular perturbation modeling of the flexural stiffness is used to deduce the relationship between the critical boundary shear, the web stiffness, and the transport speed under various wrinkling conditions. Singular perturbation techniques are used to treat the small, finite flexural stiffness. The maximization of transport speed is pursued through the flutter and wrinkling analyses of webs translating close to a surface that is designed to avoid instabilities.***