Analogous Behavior Concepts Circuit theory Translational Mechanics Equations

Analogous Behavior Concepts: Circuit theory, Translational Mechanics Equations: voltage (V) = current (i) x resistance (R) Force (f) = Velocity (v) x Damper (B) Experimental Challenges: Characterize the relationship of analogous electrical and mechanical systems. Analytical Challenges: using circuit and mechanical theory, analyze the systems using mathematical equations.

Analogous Behavior What is this behavior? - In the context of this class students will be studying the relationship between the components of the electrical world to the physical systems of the mechanical world. The two worlds use different equations but are of the same form.

What are the relationships? Electrical world Mechanical world Voltage (V) = Force (f) Current (I) = Damper (B) Velocity (v) Resistance (R) = Mass (M) Inductance (L) = Lever (L 1: L 2) Capacitance (1/C) Spring (K)

Forming Analogous Equations

System Description In order to analyze a system, the system will contain the following properties: - It will be compromised of a connected assembly of finite components, both electrical and mechanical. - Each component can be characterized in a manner completely independent of any other component connected to it.

Analysis Procedure Modeling: The characterization of components by mathematical models Formulation: The development of systems of equations describing the overall system Solution: The mathematical procedures of solving the equations formulated

System Experiment Ideas