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Table 1 Computational results of motion relations

From: Life Distribution Transformation Model of Planetary Gear System

Parts

Absolute velocity

Relative velocity

Load quantity

Sun gear

\(\omega_{\text{s}}\)

\(\frac{{R_{\text{r}} }}{{R_{\text{s}} + R_{\text{r}} }}\omega_{\text{s}}\)

\(\frac{{R_{\text{r}} \omega_{\text{s}} n_{\text{p}} t}}{{R_{\text{s}} + R_{\text{r}} }}\)

Planet gear

\(\frac{{R_{\text{s}} }}{{R_{\text{s}} - R_{\text{r}} }}\omega_{\text{s}}\)

\(\frac{{2R_{\text{s}} R_{\text{r}} }}{{R_{\text{s}}^{2} - R_{\text{r}}^{2} }}\omega_{\text{s}}\)

\(\frac{{4R_{\text{s}} R_{\text{r}} \omega_{\text{s}} n_{\text{p}} t}}{{R_{\text{r}}^{2} - R_{\text{s}}^{2} }}\)

Ring gear

0

\(- \frac{{R_{\text{s}} }}{{R_{\text{s}} + R_{\text{r}} }}\omega_{\text{s}}\)

\(\frac{{R_{\text{s}} \omega_{\text{s}} n_{\text{p}} t}}{{R_{\text{s}} + R_{\text{r}} }}\)

Planet carrier

\(\frac{{R_{\text{s}} }}{{R_{\text{s}} + R_{\text{r}} }}\omega_{\text{s}}\)

0

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