STUDY OF GRAVITATIONAL DISPLACEMENTS OF A MOBILE LOAD ON ROPEWAY CABLE
There are few publications which bring up the subject of the ropeway cable under moving in-service load. Our main goal is to establish the so-called differential equation of a moving load on the ropeway cable of a zip line entertainment facility. The unknown is its movement speed as a function of time, but the direct integration of this equation is not possible. This impediment is bypassed by changing the variable “time”, with the variable “angle” swept by the radius vector. However, the new first order constant coefficient differential nonlinear equation can be easily solved. The solution obtained was applied in a real case study and a comparative study is presented plotting speed variation and acceleration of mobile load.
Key words: mobile load, steel wier rope, wind action, nonlinear differential equation, study case
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