Which of the following transfer function Gscan be used for d

Which of the following transfer function G^~(s)can be used for describing dynamic response of a fixed-displacement hydraulic motor?______. where s is Laplace operator and D_v is motor volumetric displacement per radian, and J is moment of inertia of motor & load. C_m, R_m and B_m is the motor hydraulic capacitance, motor hydraulic resistance, and damping constant respectively.

Solution

4 (b) correctly shows the the dynamic response of the fixed displacement hydraulic motor. A quick dimentional analysis shows that Cm * J   has the same dimensions as ( J / Rm + Cm * Bm ) and Dv^2 (1 + Bm / Rm * Dv)