Practice Final Problem 7 solution

Practice Final Problem 7 solution - (Fall 1999) A system...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
(Fall 1999) A system has been partially modeled using a bond graph and characteristics as shown. a. Annotate the diagram as needed. Note that the capacitance is linear while the resistance is nonlinear. b. Find the (nonlinear) state differential equations. From the bond graph one finds, ( ) R R V Q P = d . From the resistance characteristic 2 4 /10 R R Q P = - + + . From the bond graph and capacitance characteristic curve 0 0 / 25 R P P V C P V = - = - . Combining ( ) ( ) 0 2 4 /10 2 4 25 /10 R R R V Q P P P V = = - + + = - + + - d . Thus, 0 2 4 /10 2.5 V P V = - + + - d . c. Determine the equilibrium state(s) of the system if 2 0 50N/m P = . Setting the time changing variable to zero, gives 0 0 2 4 /10 2.5 P V = - + + - . Substitution and initial Reduction, first gives
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online