CHAPTER 3 Installation

7-3 Example of moment of inertia calculation

Let's discuss an example in which the chuck and workpiece are at a position offset by 10cm from the R-axis by a stay, as shown in Fig. 3-19.

The moment of inertia is calculated with the following three factors, assuming that the load material is steel and its density ρ is 0.0078kg/cm3.

R-axis

2cm

4cm

6cm

Stay

2cm

 

2cm

1cm

10cm

1cm

Chuck

Workpiece

4cm

2cm

Fig. 3-19

1) Moment of inertia of the stay

From Fig. 3-20, the weight of the

stay (Ws) is given as follows:

Center line

 

Ws = ρabc = 0.0078 12 2 2

= 0.37 (kgf)

2cm

2cm

R-axis

5cm 12cm

Fig. 3-20

The moment of inertia of the stay (Js) is then calculated from Eq. 3-7.

 

0.37 (122+22)

+

0.37 52

2

 

Js =

 

 

 

 

 

= 0.014 (kgfcmsec

)

12

980

980

 

 

 

 

 

 

3-27

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Yamaha YK120X, YK180X owner manual Example of moment of inertia calculation

YK120X, YK180X specifications

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