Inertial Effects Of Vibration Of Strip Tension Boundary Conditions

Steel capacity as represents a national comprehensive national strength and animportant index of economic level, more and more get the attention of people. In the steelindustry in the process of actual production, rolling mill vibration problem of research toimprove production efficiency has a certain practical significance. To date, most researchon strip vibration, simplifying the strip to the axial movement of the string or beam model.As a result, the lateral vibration of beam and implement of its reasonable control is veryimportant.In this thesis, based on the movement of rolls and strip steels in the rollingprocess,strip steels are simplified into Euler beam and rolls into inertial element, whichestablished nonlinear model of the beam under the inertial boundary conditions. using theHamilton variational principle to establish differential equation of beam, and combiningthe Kantorovich average method and boundary conditions of the equation of motion fortime and space after the separation of variables, no dimensional equation and boundaryconditions, the vibration equation of circular plate revelation, by using modified iterationmethod to solve the equation.Based on the analytical solution of equation of motion, using the finite elementmethod simulation of the vibration of the plate, it is concluded that the boundaryconditions in inertial vibration of beam frequency and the amplitude of the moment ofinertia of the disc, beam, beam length, tension, compared with the results of theoreticalanalysis, the simulation results close to the theoretical calculation results.Analytic method and finite element numerical simulation results show that the axialtension beam inertia boundary conditions for beam transverse vibration has a greatinfluence.