Paradoxical Behaviour of Mechanical and Electrical Networks.

Cohen, J. E., & Horowitz, P. (1991). Paradoxical Behaviour of Mechanical and Electrical Networks. Nature, 352, 699-701.

Type

Journal article

Intellectual base

Primary research

Year

1991

Volume

352

Pages

699-701

DOI

10.1038/352699a0

DOI registrant

Springer Nature

Link

https://doi.org/10.1038/352699a0

Cited from

systems_cybernetics

Cited by

1 citation across 1 artifact.

Each citation links to the sentence it supports in the citing article.

Primes

• Braess's Paradox
  • Mechanical / spring networks — a weight suspended by an arrangement of springs and a connecting cord can rise when the cord is cut; the force-transmission topology has the same shape.

    This sourceDemonstrates the Braess analogue in mechanical spring-and-cord systems (a weight rises when a cord is cut) and in resistor networks (adding a current path increases the voltage drop).

    Supported in partVerified against the publisher's abstract

    Cohen and Horowitz describe "a network of strings and springs in which cutting a string that supports a weight results in a rise of the weight at equilibrium", alongside a circuit of resistors and Zener diodes in which adding a current-carrying path increases the voltage drop. They present these as "mechanical and electrical analogues of a paradox of congested traffic flow", which is the shared force-transmission shape the sentence asserts. The work asserts the analogy without setting out an exact correspondence between the spring network's topology and the road network's.

    “WE describe here a network of strings and springs in which cutting a string that supports a weight results in a rise of the weight at equilibrium. In an analogous electronic circuit of passive two-terminal devices (resistors and Zener diodes), adding a current-carrying path increases the voltage drop across the circuit. These systems are mechanical and electrical analogues of a paradox of congested traffic flow”

    Read by an automated reader; not a human review. How support was checked

Verification

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Registry ID ref:90cdea3360a2 · see in the full table