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Mechanical and Electrical Analogies
The behavior of the analogous mechanical and electrical systems is defined by the same types of differential equations as is evident from a comparison of Eq. 129 with Eq. 126 and of Eq. 157 with Eq. 172. Analogies based on these types of differential equations are shown in Table 11.^{(1)} The force F and the voltage or electromotive force E, in Table 11 may be constants as well as functions of time. It should be noted that both V and E serve as symbols for voltage.
The term compliance is used in connection with the mechanical quantities listed in Table 11. Compliance denotes the inverse of stiffness and corresponds to capacitance in the electrical circuit when force in the mechanical system is considered analogous to voltage in the electrical system. The relation shown in Table 11 is sometimes called the direct relation. The inverse of these relations may also be used. These follow from comparing a parallel electrical circuit, as shown in Fig. 115, with the mechanical system. The differential equation for this parallel circuit is
The inverse relation between mechanical and electrical quantities are shown in Table 12. TABLE 12. INVERSE RELATION BETWEEN MECHANICAL AND ELECTRICAL QUANTITIES
A comparison of quantities for the torsional system is shown in Table 13.


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