Modeling of Physical Systems Flashcards
is a mathematical representation of a physical system
Model
allow us to reason about a system and make predictions about how a system will behave
Model
are key elements in the design and analysis of control systems.
Mathematical models of physical systems
The dynamic behavior is generally described by
ordinary differential equations
When using models, keep in mind that they are an approximation of the
underlying system
We address the modeling of electrical networks with simple passive
elements such as
resistors, inductors, and capacitors.
Ohm’s law states that the voltage, Vr(t), across a resistor R
is proportional to the current i(t) going through the resistor.
Resistors
The voltage, Vl(t), across an inductor L is proportional to the
time rate of change of current i(t) going through the inductor.
Inductors
The voltage, Vc(t), across a capacitor C, is proportional to
the integral current i(t) going through the capacitor concerning time.
Capacitor
The current i(t) is the flow rate of electrical charge q(t)
Current
The classical way of writing equations of electric networks is based on
the loop method or the node method, both of which are formulated
from the
two laws of Kirchhoff
The algebraic summation of all
currents entering a node is zero.
KCL / Current law or node method
The algebraic sum of all voltage drops around a complete closed loop is zero.
KVL / Voltage law or loop method
There are two types of mechanical systems based on the type of motion
Translational mechanical systems, Rotational mechanical systems
move along a straight line
Translational mechanical systems
move about a fixed axis.
Rotational mechanical systems
The motion circular motion of the rigid body about the x-axis
Rotational Mechanical Systems
