By Samuel Seely
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Refer to 42 Modeling of System Elements Fig. 1-41. Fluid (liquid) capacitance. Fig. 1-41 which illustrates the situation. Conservation of mass requires that the change in volume of the liquid being stored in a tank is specified by the fluid flow rate into the tank. Thus, 0Q = — = AA— =dVdh dt dt dh dt ( (mm 3/ S/ sCeCc)) (1-59) where V denotes the volume, and A the sectional area of the tank. Now, in analogy with Eq. (1-7) for electrical capacitance, we define C in terms of flow and time rate of change of head.
An electromechanical transducer such as a radio loudspeaker will have one electrical port and one mechanical port (plus, in fact, an acoustic port); a thermoelectric transducer will have one ther mal port and one electrical port; an accelerometer will produce an elec trical output corresponding to some function of the mechanical motion. As one example, we consider an accelerometer, somewhat in the form illustrated in Fig. 1-45. A coupling field is established between the elec trical and the mechanical circuits.
Physical springs satisfy this relationship for forces below the elastic limit of the material. Deviations from this linear relation may occur for a number of reasons including, temperature effects, rotation of the spring ends, hysteresis, and others. The schematic representation of the spring element is given in Fig. 1-27. The analytic relations between the through and the across variables are the pair of equations, / = K(xx -JC 2 ) = KJ(vl-v2)dt=KJ ±df Kdt' vdt, d-36) The Damper 31 -JSlSLr Fig.
An Introduction to Engineering Systems by Samuel Seely