Mathematical Problems in Engineering / 2014 / Article / Tab 4

Research Article

Analytical and Finite Element Modeling of the Dynamic Characteristics of a Linear Feeding Stage with Different Arrangements of Rolling Guides

Table 4

Natural frequencies of the stage with different rigidity ratios predicted by analytical calculation and finite element simulation.

Rigidity ratio of stageMethodYawing modePitching modeLower rolling modeVertical modeHigher rolling mode

0.41Analytical analysis343.2467.9517.3657.3754.3
Finite element
analysis
323.3459.3477.2604.1677.3
Difference5.78 1.83 7.76 8.10 10.21

1.03Analytical analysis299.1403.0452.7572.2659.6
Finite element
analysis
287.8401.7420.1536.9634.4
Difference3.78 0.33 7.21 6.17 3.82

2.40Analytical analysis245.8325.8346.1469.6584.8
Finite element
analysis
240.3328.1334.3452.8559.2
Difference2.25 0.71 3.40 3.57 4.37

4.02Analytical analysis213.6279.6286.3407.7531.1
Finite element
analysis
210.0282.2277.7395.5507.5
Difference1.69 0.92 3.02 2.99 4.44