Table 2 Physical meanings and expressions of ωn
Sign | Physical meaning | Expressions |
|---|---|---|
ω1 | Natural frequency of main mass-spring vibration system. | \(\omega_{1} = \sqrt {\frac{{k_{{1}} + K_{{\text{D}}} p_{{{\text{sx}}}} }}{{m_{{1}} }}}\) |
ω2 | Natural frequency of pilot mass-spring vibration system. | \(\omega_{2} = \sqrt {\frac{{k_{{2}} + K_{{\text{G}}} p_{{{\text{cx}}}} }}{{m_{{2}} }}}\) |
ω3 | Break-frequency of chamber A. | \(\omega_{3} = \frac{{E\left( {K_{{\text{A}}} + K_{{\text{C}}} } \right)}}{{V_{{\text{A}}} }}\) |
ω4 | Break-frequency of chamber C(original model). | \(\omega_{4} = \frac{{E\left( {K_{{\text{C}}} + K_{{\text{E}}} } \right)}}{{V_{{\text{C}}} }}\) |
ω5 | Break-frequency of the main port differential element. | \(\omega_{5} = \frac{{K_{{\text{B}}} }}{{A_{{1}} }}\) |
ω6 | Break-frequency of the pilot port differential element. | \(\omega_{6} = \frac{{K_{{\text{F}}} }}{{A_{{2}} }}\) |
ω7 | Break-frequency of chamber B(original model). | \(\omega_{7} = \frac{{EG_{{\text{r}}} }}{{V_{{\text{B}}} }}\) |
ω8 | Break-frequency produced by the orifice R2. | \(\omega_{8} = \frac{{G_{{\text{r}}} }}{{A_{1}^{2} }}\) |
ω9 | Break-frequency of integration element corresponding to chamber B. | \(\omega_{9} = \frac{E}{{V_{{\text{B}}} }}\) |
ω10 | Break-frequency of chamber B(contrast model). | \(\omega_{10} = \frac{{E\left( {K_{{\text{C}}} + K_{{\text{E}}} } \right)}}{{V_{{\text{B}}} }}\) |