Mathematical Modeling Flashcards
In FV analogy,current I in electrical circuit is analogous to ——– in mechanical translational system
Velocity
In Force voltage analogy, resistance R is analogous to……..
Friction constant ( B )
Force Current
Analogy is also known as….
Inverse Method
Inertia is represented by
J
Write Differential equation for Mechanical translational system.
Ma+Bv+Kx
=Md^2X/dt^2 + BdX/dt + KX
= Ms^2X(s) + BsX(s) +KX(s)
Write differential equation for Electrical system
V(s) = RsQ(s) +Ls^2Q(s) +1/C Q(s)
In FV analogy, Spring constant K in Translational Mechanical system is analogous to —– in Electrical system
Reciprocal of capacitor
In FI analogy, displacement X is analogous to —- in electrical circuit.
Flux
Define angular velocity.
Rate of change of angular displacement with respect to time
In Rotational system Force is replaced by
Torque
For conversion of Mechanical to Electrical system, Mass is always connected between —- and —–
Node and Reference
Represent each displacement
in equivalent diagram by separate ——.
Node
Masa M is in Translational system analogous to ——- in Rotational system.
Inertia J
Those elements are connected in parallel in equivalent system are connected in ——– in FV analogy and connected in ——— in FI analogy. .
Connected in series in FV analogy
Connected in parallel in FI analogy.
Angular velocity w is analogous to ——- in Electrical system.
Voltage