COMP155/EMGT155 Exercises Nov 10, 2008 EXERCISE 1 System diagram: Initial bond graph: Simplified bond graph: Simulation output:COMP155/EMGT155 Exercises Nov 10, 2008 Equations for simplified bond graph: Questions: 1) What is represented by the state (if any) of each of the six components? 2) Define flow and effort equations for each of the three junctions in the simplified bond graph. What do these equations mean? 3) Determine the physical meaning of each of the dynamic and system equations given above. gravity1: parameters real effort = -9.8; variables real flow; equations p.e = effort; flow = p.f; mass1: parameters real i = 20.0; equations state = int(p.e); p.f = state / i; mass2: parameters real i = 30.0; equations state = int(p.e); p.f = state / i; static equations: gravity1\p.e = gravity1\effort; gravity2\p.e = gravity2\effort; dynamic equations: spring1\p.e = spring1\state / spring1\c; spring2\p.e = spring2\state / spring2\c; spring1\p.f = mass1\state / mass1\i; mass2\p.f = mass2\state / mass2\i; mass2\p.e = gravity2\p.e - spring2\p.e; mass1\p.e = (gravity1\p.e + spring2\p.e) - spring1\p.e; spring2\p.f = mass2\p.f - spring1\p.f; system equations: spring1\state = int (spring1\p.f, spring1\state_initial); spring2\state = int (spring2\p.f, spring2\state_initial); mass1\state = int (mass1\p.e, mass1\state_initial); mass2\state = int (mass2\p.e, mass2\state_initial); gravity2: parameters real effort = -9.8; variables real flow; equations p.e = effort; flow = p.f; spring1: parameters real c = 10.0; equations state = int(p.f); p.e = state / c; spring2: parameters real c = 20.0; equations state = int(p.f); p.e = state / c;COMP155/EMGT155 Exercise2: Circuit diagram: Initial bond graph: Simplified bond graph: Exercises Nov 10, 2008COMP155/EMGT155 Exercises Nov 10, 2008 Equations for simplified bond graph: Questions: 1) What is represented by the state (if any) of each of the three components? 2) Define flow and effort equations for the junction in the simplified bond graph. What do these equations mean? 3) Determine the physical meaning of each of the dynamic and system equations given above. voltage_source: parameters real effort = 1; variables real flow; equations p.e = effort; flow = p.f; capacitor: parameters real c = 1; equations state = int(p.f); p.e = state / c; resistor: parameters real r = 1.0; equations p.e = r * p.f; static equations: voltage_source\p.e = voltage_source\effort; dynamic equations: capacitor\p.e = capacitor\state / capacitor\c; OneJunction1\p2.e = voltage_source\p.e - capacitor\p.e; capacitor\p.f = OneJunction1\p2.e / resistor\r; system equations: capacitor\state = int (capacitor\p.f, capacitor\state_initial); removed equations: OneJunction1\p1.e = voltage_source\p.e; OneJunction1\p3.e = capacitor\p.e; resistor\p.e = OneJunction1\p2.e; OneJunction1\p2.f = capacitor\p.f; OneJunction1\p1.f = capacitor\p.f; OneJunction1\p3.f = capacitor\p.f; OneJunction1\flow = capacitor\p.f; voltage_source\p.f = capacitor\p.f; resistor\p.f = capacitor\p.f; voltage_source\flow =