INVESTIGATION OF THE NONLINEAR VIBRATION OF A CABLE- MASS SYSTEM, DUE TO THE MOTION OF AN ATTACHED ACCELERATING MASS

Authors

Dept. of Mechanical Engineering K.N.Toosi University of Technology

Abstract

In this article nonlinear vibrations moving mass of the cable carrier via spring and damper connected to cable, has been studied. A cable end fixed and the other end, with the height difference, is Ghyrsabt. Tangential strain is zero cable, but cable length is constantly changing and this change over cable, it will allow vibration. This changes the difference Bhgvnhyy non-constant tension cable in the end is zero. Cable vibrations Drvnsfhhyy form intended, and assumes that only the mass moving along $ y $ will fluctuate. Extract formulation in motion, friction force between the rollers and cables and a power line Jlvbrndh that the tangent line is considered the cable, and the equations of motion is being influenced by the motion of the moving mass of cables is obtained. To solve, Galrkyn method in place and sphere of the average acceleration method in time domain is used. The results of the nonlinear vibration equations cable vibration with the results of linear equations that has been compared. Results in analysis and design Tlhkabynha cable, cable cranes, etc.

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