Publication detail

Nonlinear Inerter in the Light of Chua’s Table of Higher-Order Electrical Elements

BIOLEK, D. BIOLEK, Z. BIOLKOVÁ, V. KOLKA, Z.

Original Title

Nonlinear Inerter in the Light of Chua’s Table of Higher-Order Electrical Elements

English Title

Nonlinear Inerter in the Light of Chua’s Table of Higher-Order Electrical Elements

Type

conference paper

Language

en

Original Abstract

The inerter, a recently discovered mechanical element, is analyzed from a broader perspective of Chua’s periodical table of electric elements and electro-mechanical analogies. It is shown that the inerter can be reduced to today’s generally accepted mechanical equivalent of electric capacitor or inductor only for a linear relationship between force and acceleration. The actual position of the inerter as a fundamental nonlinear mechanical element in a generalized effort-flow diagram is identified. Such identification is required for a correct modeling of the nonlinear behavior of systems which employ inerters of mechanical, electric or other nature.

English abstract

The inerter, a recently discovered mechanical element, is analyzed from a broader perspective of Chua’s periodical table of electric elements and electro-mechanical analogies. It is shown that the inerter can be reduced to today’s generally accepted mechanical equivalent of electric capacitor or inductor only for a linear relationship between force and acceleration. The actual position of the inerter as a fundamental nonlinear mechanical element in a generalized effort-flow diagram is identified. Such identification is required for a correct modeling of the nonlinear behavior of systems which employ inerters of mechanical, electric or other nature.

Keywords

inerter; higher-order elements; effort; flow

Released

06.10.2016

Publisher

IEEE

Location

Jeju, Korea

ISBN

978-1-5090-1570-2

Book

APCCAS 2016

Pages from

617

Pages to

620

Pages count

4

BibTex


@inproceedings{BUT129547,
  author="Dalibor {Biolek} and Zdeněk {Biolek} and Viera {Biolková} and Zdeněk {Kolka}",
  title="Nonlinear Inerter in the Light of Chua’s Table of Higher-Order Electrical Elements",
  annote="The inerter, a recently discovered mechanical element, is analyzed from a broader perspective of Chua’s periodical table of electric elements and electro-mechanical analogies. It is shown that the inerter can be reduced to today’s generally accepted mechanical equivalent of electric capacitor or inductor only for a linear relationship between force and acceleration. The actual position of the inerter as a fundamental nonlinear mechanical element in a generalized effort-flow diagram is identified. Such identification is required for a correct modeling of the nonlinear behavior of systems which employ inerters of mechanical, electric or other nature.",
  address="IEEE",
  booktitle="APCCAS 2016",
  chapter="129547",
  howpublished="electronic, physical medium",
  institution="IEEE",
  year="2016",
  month="october",
  pages="617--620",
  publisher="IEEE",
  type="conference paper"
}