Force Voltage Analogy: Steps, Parameters, Differential Equation & Example 1

Force Voltage Analogy Solved Example is covered by the following Timestamps:

0:00 - Control Engineering Lecture Series
0:08 - Mathematical Modeling of Mechanical System
0:34 - Steps of Mathematical Modeling of Mechanical System
4:10 - Differential equation of mechanical system by Mathematical Modeling of Mechanical System
7:51 - Force Voltage Analogy

Following points are covered in this video:

0. Mathematical Modelling of Control System
1. Steps for Mathematical Modeling of Mechanical System
2. Force Voltage Analogy
3. Force Voltage Analogy Steps
4. Force Voltage Analogy Example

Chapter-wise detailed Syllabus of the Control Engineering Course is as follows:

15. MATLAB Programs of control system/ Control Engineering

Engineering Funda channel is all about Engineering and Technology. Here this video is a part of Control Engineering / Control Systems and Mathematical Modelling of Control System.

#ForceVoltageAnalogy #MathematicalModelling #ControlEngineering @EngineeringFunda

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[harshithm]

Thank you sir keep doing great things ....

[AA-gukq]

Lovely lesson, but it will be advisable to allow subtitle English.

[ioesq]

Thank you sir! have a doubt why 1/c is taken as only c in diagram of FV analogy

[EAYUSHMAHAJAN]

What should be the direction of dash pot or is it irrelevant
(in mechanical system the arrow goes from reference to the mass, whereas in mathematical model dash pot is facing the reference)

[krishnarao]

sir i have one doubt about this, what if there are elements in cascade. for example there is a k element and b element in series. how will it be represented in the differential equation? will it be k+b or k*b, please do clarify on this

[harrywestbrook]

In the force-voltage analogy, the topologies of the circuits are duals of one another i.e. the mechanical circuit is drawn in parallel, whilst the electrical circuit is drawn in series, and this leads to equivalent equations where the coefficients are not inverted (with the exception of inverse capacitance, which can simply be relabelled as 'elastance'). Contrasting this with the force-current analogy, where the topology of the analogous circuits is preserved, whilst the coefficients are inverted for the electrical analogue, I'm not sure why the abstract representation of the mechanical circuit is drawn in parallel rather than in series, since after all it is only an abstract representation, and in which case both the topologies and the equations would be equivalent, and we might see an equation for the velocity of a parallel mechanical circuit of the form v = (1/m)int(F dt) + (1/b)F + (1/k)dF/dt to correspond to that for the current in the parallel electrical circuit... (?)