Large and Infinite Mass–Spring–Damper Networks-Reference-Cited by-同舟云学术

Large and Infinite Mass–Spring–Damper Networks

Published:2019-02-21 Issue:6 Volume:141 Page:
ISSN:0022-0434
Container-title:Journal of Dynamic Systems, Measurement, and Control
language:en
Short-container-title:

Author:

Leyden Kevin¹,Sen Mihir²,Goodwine Bill³

Affiliation:

1. Aerospace & Mechanical Engineering, University of Notre Dame, Notre Dame, IN 46556 e-mail:

2. Professor Emeritus Aerospace & Mechanical Engineering, University of Notre Dame, Notre Dame, IN 46556 e-mail:

3. Professor Aerospace & Mechanical Engineering, University of Notre Dame, Notre Dame, IN 46556 e-mail:

Abstract

This paper introduces mechanical networks as a tool for modeling complex unidirectional vibrations. Networks of this type have branches containing massless linear springs and dampers, with masses at the nodes. Tree and ladder configurations are examples demonstrating that the overall dynamics of infinite systems can be represented using implicitly defined integro-differential operators. Results from the proposed models compare well to numerical results from finite systems, so this approach may have advantages over high-order differential equations.

Funder

National Science Foundation

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/dynamicsystems/article-pdf/doi/10.1115/1.4042466/6129383/ds_141_06_061005.pdf

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