The education approach that has been successfully implemented in a number of Israeli high schools and yielded remarkable results.

The students are first taught the graph representations, their properties and interrelations

Only then, on the basis of the representations they are taught specific engineering fields.

Such as: mechanisms

Such as: trusses

Such as: Stewart platforms

Such as: Microsystems

~

Such as: Electronics circuits

Such as: Beams

a c

Pb

FS1 FS2Δc

Δa

PS1 R1 R2PS2

o

b

And others

How to teach an engineer from one discipline material from

other discipline?

Tellegen theorem in electric circuits

0)G('F)G(10

1iFii

Tellegen theorem in structures

C

trusstheofrods ii

iR

iVFiR

control EA

L)G(F)G(F)G(D

Solving transistor circuits through mechanics

Solving transistor circuits through mechanics

O

G1ΔCP1

JCF1

A

ΔA

BR

G1 Vt

Two ports

Applying the methodology for Integrated Systems

Transferring the system, containing both mechanical and electronic elements into a unified graph

representation

Now, the graph is interpreted as a representation of a single electronic circuit, which enables the electrical engineer to deal

with the whole integrated system, by himself.

L

B

A Vt

R

vt

qt

ut

Ft

Ft=f(ut,vt)

qt=f(ut,vt)

R

Vt

21

2 VGI

L

L

L

L

I

V

bb

bb

I

V

2

2

2221

1211

1

1

RIVVt 11

Two ports V1

I1

V2

I2

Now, the integrated system is solved solely by the electrical engineer

ElectricalEngineer

G1

The forces in the beam affects the electrostatic

force

The electro-static force affects the distance

between the capacitor plates

The distance between the

capacitor plates affects the force

in the beam

Δi

Fi

Δo

Fo

O

C

t

G

Electrical

Engineer