HyperWorks Solvers

Mechanical Advantage of a Cable Pulley System in a Crane

Mechanical Advantage of a Cable Pulley System in a Crane

Previous topic Next topic No expanding text in this topic  

Mechanical Advantage of a Cable Pulley System in a Crane

Previous topic Next topic JavaScript is required for expanding text JavaScript is required for the print function  

Model Description

Model location: <altair>\utility\mbd\nlfe\validationmanual\model5.mdl

This model consists of a crane with a beam structure. A hydraulic lifter is placed at the tip of the beam which lifts a car frame with the aid of a cable pulley system with a mechanical advantage equal to 2.

It is to be validated that the load transferred to the hydraulic lifter is only half of the actual load that is being lifted, due to the effect of cable pulley system.

Multi-Body Model

The beam is modeled with a single NLFE beam of I-section. The rope is modeled using 68 NLFE cable elements. The pulley, hydraulic base, hydraulic lifter, pulley lifter and so on are modeled as rigid cylinders. There are a number of sphere bodies used to establish contact between the cable and pulley. Gravity is kept ON for this model.

The various joints between the bodies in the crane are as shown in the figure below.

nlfe_mech_adv_fig1

Figure 1: The crane modeled in MotionView

 

The suspended load and the load transferred to the hydraulic lifter can be calculated as follows:

Suspended load = vehicle weight + pulley weight + pulley lifter weight

                       = (300 * 9.81) + (13.3002 * 9.81) + (0.5777 * 9.81)

                      = 3079 N

Mechanical advantage of rope pulley system = 2

Load transferred to the hydraulic lifter = suspended load / mechanical advantage

                                                       = 3079 / 2

                                              = 1539

The motion to the hydraulic lifter is given as a step function, where the lifting speed is ramped from 0 to 15 mm/s in four seconds using a STEP function as shown below:

`Step (time, 0, 0, 4, -15) `

This model is simulated with an end time of 10 seconds, for a transient analysis.

Numerical Results

Figure 2 below depicts the actual suspended load (blue line) and the load transferred to the hydraulic lifter (red line).

nlfe_mech_adv_fig2

Figure 2: Plots showing suspended load and the load transferred to the Hydraulic lifter.

Conclusion

The NLFE model shows close agreement to the theoretical results for this case.

 

Theoretical

Numerical

% error

Suspended load

3079 N

3079 N

0 %

Load transferred to hydraulic lifter

1539 N

1553 N

0.9 %