By Krzysztof Marynowski
A fabric continuum relocating axially at excessive velocity could be met in different assorted technical functions. those include band saws, net papers in the course of production, processing and printing approaches, cloth bands in the course of production and processing, pipes transporting fluids, transmission belts in addition to flat items relocating at excessive speeds in house. In these types of so diverse technical functions, the utmost shipping velocity or the transportation pace is aimed toward on the way to elevate potency and optimize funding and function expenditures of occasionally very pricey and complicated machines and installations. The dynamic habit of axially relocating platforms quite often hinders from attaining those goals.
The e-book is dedicated to dynamics of axially relocating fabric gadgets of low flexural stiffness which are known as webs. Webs are relocating at excessive pace, for instance, in paper construction the paper webs are transported with longitudinal speeds of as much as 3000 m/min. Above the serious pace you'll be able to anticipate a variety of dynamical instabilities regularly of divergent and flutter sort.
The updated kingdom of investigations performed within the box of the axially relocating process dynamics is gifted at the beginning of the e-book. specified cognizance is paid on nonlinear dynamic investigations of translating platforms. within the subsequent chapters quite a few mathematical types that may be hired in dynamic investigations of such items and the result of research of the dynamic habit of the axially relocating orthotropic fabric net are provided. To make tracing the dynamic concerns more straightforward, a paper internet is the most item of investigations within the book.
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Extra resources for Dynamics of the Axially Moving Orthotropic Web
31) is obtained by neglecting the second term that includes c2. The comparative studies were carried out in the undercritical range of transport speeds. 2 shows a comparison of the 140 [s–1] ω ω12 120 × 100 ω11 × × × × × × × 80 × κ=0 κ=0 × κ=1 × × × × × κ=1 60 × 40 Fig. 1 One-Layered Orthotropic Web 55 obtained computational results and the results published in . The differences between the results obtained and the results quoted in  did not exceed 1%. The second real object subjected to tests was a wide axially moving paper web that was analysed dynamically by Wang .
An axially moving thin steel plate performing an unsteady motion, described with the beam model, was subjected to analysis. In Figs. 9 two bifurcation diagrams presenting the results obtained in  are shown. These figures show bifurcation diagrams of the dimensionless transverse displacement of the beam as a function of the amplitude of a harmonic change in the transport speed 1, for two different frequencies of these changes. In both cases for low values of 1, a rectilinear static equilibrium position of the beam occurs as a state of the dynamic equilibrium.
As has been mentioned earlier, Wang’s attention was focused mainly on identification of stress fields and modes of web deflection in the subcritical range in the numerical calculations. On the other hand, in the literature known to the author of the present book, information on the dynamic behaviour of such objects that could be employed in comparative studies is lacking. The third stage of investigations was a comparison of the numerical results obtained with linearized equations to the results published by Lin .