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Theoretical study on travelling web dynamics and instability under non-homogeneous tension

2013

Problems of dynamics and stability of a moving web, travelling between two rollers at a constant velocity, are studied using analytical approaches. Transverse vibrations of the web are described by a partial differential equation that includes the centrifugal force, in-plane tension, elastic reaction and nonstationary inertial terms. The model of a thin elastic plate subjected to bending and non-homogeneous tension is used to describe the bending moment and the distribution of membrane forces. The stability of the plate is investigated with the help of studies of small out-of-plane vibrations. The influence of linearly distributed in-plane tension on the characteristics of the web vibration…

Centrifugal forceInertial frame of referenceaxially movingBendinglommahdusInstabilityelasticGeneral Materials Sciencebucklingta216epästabiiliusCivil and Structural EngineeringelastinenPhysicsPartial differential equationTension (physics)Mechanical EngineeringplatejännitysMechanicstensionCondensed Matter PhysicsinstabilityBucklingMechanics of Materialsaksiaalisesti liikkuvaBending momentlaatta
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