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Lenze · Drive Solution Designer · Manual · DMS 4.2 EN · 12/2013 · TD23 123

7Applications

7.9 Hoist drive with counterweight

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

7.9.1 Calculations

For a hoist with counterweight according to the drawing the following applies:

Effective diameter

The following equations require the effective diameter of the driving pulley which results from the

reel diameter plus the cable thickness:

[7-93] Equation 1: Effective diameter of the driving pulley

Moment of inertia

The moment of inertia J does not change during the lifting cycle. Basically it is determined by the

mass of the hoisting cage m

Cag

, the mass of the counterweight, and the additional moment of iner-

tia J

add

[7-94] Equation 2: Fixed moment of inertia

Typical masses of counterweight m

Ctw

can be determined from the mass of the hoisting cage m

Cbn

half of the payload m

and the reeving ratio N

Ctw

[7-95] Equation 3: Mass of counterweight

In the case of applications with many guide pulleys and a long cable, the rolls and the cable mass

substantially contribute to the peak torque value. For the determination of the cable mass m

Rop

the

following equation can be used:

• If a cable pull with a shear was used, the effective cable mass would be reduced. The following

equation does not take a shear into consideration, so that in this case there is a safety reserve.

[7-96] Equation 4: Mass of the entire cable

For the total moment of inertia J

sum

of the application additionally the mass of the payload is taken

into consideration. During the lifting cycle the mass of the payload can be different.

[7-97] Equation 5: Total moment of inertia

Cor

Rop

add

2000

-------------





Ctw

------------- -

Cbn

-------------

Rop







⋅+=

Ctw

------------

Cbn

-------





⋅=

Rop

10 π

Rop

200

-----------





⋅⋅⋅⋅=

sum

2000

-------------





---------

⋅+=

1 2 ... 118 119 120 121 122 123 124 125 126 127 128 ... 495 496

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Lenze DSD Manual do Utilizador Página 123

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