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Unformatted text preview: Name________________________ Page 1 of 2 12/8/2005 (Fall 2002) A mixer (essentially a motor with a stirring rod or whisk) is used to mix a rather thick, but light, goop. A simple bond graph model of the system is given below. The characteristics of the motor and goop are given to the left. The whisk is very compliant and has the characteristics as shown. a) Circle the equilibrium point on the three characteristic curves. (Hint: one circle per plot is needed.) Is the equilibrium stable or unstable (circle your answer)? If S R φ φ- > d d , M increases. If S R φ φ- < d d , M decreases. b) Apply causality strokes to the bond graph above. c) Pick from the 6 functional forms of the characteristic equations shown in the graphs above the 3 needed to determine the state equation(s). Write these three equations in the appropriate places on the bond graph itself. ( ) C C M φ , ( ) S S S M φ φ = d d and ( ) R R R M φ φ = d d d) Complete the annotation on the bond graph. Then, write the nonlinear state differential equation(s) for...
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This note was uploaded on 02/29/2008 for the course ME 242 taught by Professor Perreira during the Spring '08 term at Lehigh University .
- Spring '08