Vol. 9, No. 3, 2021
Download this article
Download this article For screen
For printing
Recent Issues
Volume 12, Issue 1
Volume 11, Issue 4
Volume 11, Issue 3
Volume 11, Issue 2
Volume 11, Issue 1
Volume 10, Issue 4
Volume 10, Issue 3
Volume 10, Issue 2
Volume 10, Issue 1
Volume 9, Issue 4
Volume 9, Issue 3
Volume 9, Issue 2
Volume 9, Issue 1
Volume 8, Issue 4
Volume 8, Issue 3
Volume 8, Issue 2
Volume 8, Issue 1
Volume 7, Issue 4
Volume 7, Issue 3
Volume 7, Issue 2
Volume 7, Issue 1
Volume 6, Issue 4
Volume 6, Issue 3
Volume 6, Issue 2
Volume 6, Issue 1
Volume 5, Issue 3-4
Volume 5, Issue 2
Volume 5, Issue 1
Volume 4, Issue 3-4
Volume 4, Issue 2
Volume 4, Issue 1
Volume 3, Issue 4
Volume 3, Issue 3
Volume 3, Issue 2
Volume 3, Issue 1
Volume 2, Issue 2
Volume 2, Issue 1
Volume 1, Issue 2
Volume 1, Issue 1
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 2325-3444
ISSN (print): 2326-7186
 
Author index
To appear
 
Other MSP journals
This article is available for purchase or by subscription. See below.
Numerical analysis of nonlinear wave propagation in a pantographic sheet

Simon Raphael Eugster

Vol. 9 (2021), No. 3, 293–310
DOI: 10.2140/memocs.2021.9.293
Abstract

To study nonlinear wave propagation phenomena in pantographic sheets, we propose a dynamic model that consists of an assembly of interconnected planar nonlinear Euler–Bernoulli beams. The interconnections are either formulated as perfect bilateral constraints or by one-dimensional generalized force laws. Accordingly, the spatially discretized system is described by a differential algebraic system of equations, which is solved with an appropriate numerical solution strategy. We analyze various wave propagation phenomena by changing the kind of excitation.

PDF Access Denied

We have not been able to recognize your IP address 3.145.196.87 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription only.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Keywords
microstructured continua, pantographic structures, wave propagation, nonlinear beam finite elements
Mathematical Subject Classification
Primary: 74J30, 74K10
Milestones
Received: 3 March 2021
Revised: 14 May 2021
Accepted: 7 July 2021
Published: 8 February 2022

Communicated by Francesco dell'Isola
Authors
Simon Raphael Eugster
Institute for Nonlinear Mechanics
University of Stuttgart
Stuttgart
Germany