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A New Methodology for
Systematic Conceptual Design
by means of
Generalized Discrete
Representations
Research group conducted by Dr. Offer Shai
Department of Mechanics, Materials and Systems
Faculty of Engineering
Tel-Aviv University
The methodology developed in
this research group offers a
mathematical apparatus enabling
engineers to systematically come
up with new designs by drawing
them from completely different
engineering fields.
In this presentation you will see this ability
through a very simple example
In this presentation you will see a demonstration of
applying our design methodology for solving the
following design problem:
The force acting upon the system is alternating, while the internal
spring should sustain forces of type compression only. Design the
system that will satisfy this constraint.
Fin
Fout
Our approach makes possible to detect a system in completely
different engineering domain – that upon transformation will yield a
system satisfying given design requirements. Such a transformation is
demonstrated in this presentation.
Example of transforming electrical circuit
to a new mechanical device
Stage 1: constructing the graph representation
of the electronic circuit.
The representation is built in accordance with the structure and
other properties of the engineering system.
Bridge rectifier circuit
A
D
B
C
Example of transforming electrical circuit
to a new mechanical device
Stage 2: Constructing a new mechanical system from the representation.
The same representation can be interpreted as a representation of an
engineering system from some other engineering domain. In this example
you will see how a mechanical system is constructed from the graph.
A
Cable
A
D
B
C
D
C
Strut
B
Example of transforming electrical circuit
to a new mechanical device
Stage 2: Constructing a new mechanical system from the representation.
The same representation can be interpreted as a representation of an
engineering system from some other engineering domain. In this example
you will see how a mechanical system is constructed from the graph.
A
Cable
A
D
B
C
D
C
Strut
B
As you have noticed, till now we have not
used any analysis operations. We just
transformed the structure of the system
from one domain to the other through the
common representation.
Since both systems are represented by the
same graph representation, there should
be correspondence between their
behaviors. We shall now check this
hypothesis through simulation of both
systems
Verifying the correspondence in behavior
between the two engineering systems.
Verifying the correspondence in behavior
between the two engineering systems.
Behavioral mode 1:
In mechanical system: Fin>0, Fout>0
In electronic circuit: Iin>0, Iout>0
Fin
Iin
Iout
Fout
Verifying the correspondence in behavior
between the two engineering systems.
Behavioral mode 1:
In mechanical system: Fin>0, Fout>0
In electronic circuit: Iin>0, Iout>0
Fin
Iin
Iout
Fout
Verifying the correspondence in behavior
between the two engineering systems.
Behavioral mode 1:
In mechanical system: Fin>0, Fout>0
In electronic circuit: Iin>0, Iout>0
Iin
Fin
Iout
Fout
Verifying the correspondence in behavior
between the two engineering systems.
Behavioral mode 1:
In mechanical system: Fin>0, Fout>0
In electronic circuit: Iin>0, Iout>0
Iin
Fin
Iout
Fout
Verifying the correspondence in behavior between
the two engineering systems.
Behavioral mode 2:
In mechanical system: Fin<0, Fout>0
In electronic circuit: Iin<0, Iout>0
Fin
Iin
Iout
Fout
Verifying the correspondence in behavior between
the two engineering systems.
Fin
Behavioral mode 2:
In mechanical system: Fin<0, Fout>0
In electronic circuit: Iin<0, Iout>0
Iin
Iout
Fout
Verifying the correspondence in behavior between
the two engineering systems.
Fin
Behavioral mode 2:
In mechanical system: Fin<0, Fout>0
In electronic circuit: Iin<0, Iout>0
Iin
Iout
Fout
Verifying the correspondence in behavior between
the two engineering systems.
Behavioral mode 2:
In mechanical system: Fin<0, Fout>0
Fin In electronic circuit: Iin<0, Iout>0
Iin
Iout
Fout
Verifying the correspondence in behavior between
the two engineering systems.
Conclusion: in the resulting mechanical system - the force in the
output element (spring) is positive (compression) no matter the direction of the
Input force. Thus the behavior is the same as in the diode bridge circuit, where the
current through the output element (resistor) is always positive - no matter the
input current
The methodology developed in
this research group has been
applied to develop a series of
new devices. You are going to
see now only a number of such
devices.
Some of the devices developed through the
approach
A
2
1
in
O
out
B
3
in
4
A’