Uniformly bounded input gives ultimately bounded outpulon the dynamics of a piecewise linear beam system

Marcel F. Heertjes; Marinus J.G. van de Molengraft; Jan J. Kok

doi:10.1115/DETC99/VIB-8031

Uniformly bounded input gives ultimately bounded outpulon the dynamics of a piecewise linear beam system

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

A periodically excited piecewise linear beam system is studied. The beam system consists of a supported multi-degree-of-freedom beam with one-sided spring. This system is proved to have a 1-periodic solution to any uniformly bounded periodic force applied along the beam. The existence of a 1-periodic solution will be shown numerically and experimentally for both a harmonic force and a block-wave force.

Original language	English
Title of host publication	17th Biennial Conference on Mechanical Vibration and Noise
Publisher	American Society of Mechanical Engineers
Pages	1527-1533
Number of pages	7
ISBN (Electronic)	978-0-7918-1977-7
DOIs	https://doi.org/10.1115/DETC99/VIB-8031
Publication status	Published - 5 Feb 2021
Event	ASME 1999 Design Engineering Technical Conferences, DETC 1999 - Las Vegas, United States Duration: 12 Sept 1999 → 16 Sept 1999

Conference

Conference	ASME 1999 Design Engineering Technical Conferences, DETC 1999
Country/Territory	United States
City	Las Vegas
Period	12/09/99 → 16/09/99

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10.1115/DETC99/VIB-8031

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title = "Uniformly bounded input gives ultimately bounded outpulon the dynamics of a piecewise linear beam system",

abstract = "A periodically excited piecewise linear beam system is studied. The beam system consists of a supported multi-degree-of-freedom beam with one-sided spring. This system is proved to have a 1-periodic solution to any uniformly bounded periodic force applied along the beam. The existence of a 1-periodic solution will be shown numerically and experimentally for both a harmonic force and a block-wave force.",

author = "Heertjes, \{Marcel F.\} and \{van de Molengraft\}, \{Marinus J.G.\} and Kok, \{Jan J.\}",

note = "Publisher Copyright: Copyright {\textcopyright} 1999 by ASME; ASME 1999 Design Engineering Technical Conferences, DETC 1999 ; Conference date: 12-09-1999 Through 16-09-1999",

year = "2021",

month = feb,

day = "5",

doi = "10.1115/DETC99/VIB-8031",

language = "English",

pages = "1527--1533",

booktitle = "17th Biennial Conference on Mechanical Vibration and Noise",

publisher = "American Society of Mechanical Engineers",

address = "United States",

}

Heertjes, MF , van de Molengraft, MJG & Kok, JJ 2021, Uniformly bounded input gives ultimately bounded outpulon the dynamics of a piecewise linear beam system. in 17th Biennial Conference on Mechanical Vibration and Noise. American Society of Mechanical Engineers, pp. 1527-1533, ASME 1999 Design Engineering Technical Conferences, DETC 1999, Las Vegas, Nevada, United States, 12/09/99. https://doi.org/10.1115/DETC99/VIB-8031

Uniformly bounded input gives ultimately bounded outpulon the dynamics of a piecewise linear beam system. / Heertjes, Marcel F.; van de Molengraft, Marinus J.G.; Kok, Jan J.
17th Biennial Conference on Mechanical Vibration and Noise. American Society of Mechanical Engineers, 2021. p. 1527-1533.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Uniformly bounded input gives ultimately bounded outpulon the dynamics of a piecewise linear beam system

AU - Heertjes, Marcel F.

AU - van de Molengraft, Marinus J.G.

AU - Kok, Jan J.

PY - 2021/2/5

Y1 - 2021/2/5

N2 - A periodically excited piecewise linear beam system is studied. The beam system consists of a supported multi-degree-of-freedom beam with one-sided spring. This system is proved to have a 1-periodic solution to any uniformly bounded periodic force applied along the beam. The existence of a 1-periodic solution will be shown numerically and experimentally for both a harmonic force and a block-wave force.

AB - A periodically excited piecewise linear beam system is studied. The beam system consists of a supported multi-degree-of-freedom beam with one-sided spring. This system is proved to have a 1-periodic solution to any uniformly bounded periodic force applied along the beam. The existence of a 1-periodic solution will be shown numerically and experimentally for both a harmonic force and a block-wave force.

UR - https://www.scopus.com/pages/publications/85101054511

U2 - 10.1115/DETC99/VIB-8031

DO - 10.1115/DETC99/VIB-8031

M3 - Conference contribution

AN - SCOPUS:85101054511

SP - 1527

EP - 1533

BT - 17th Biennial Conference on Mechanical Vibration and Noise

PB - American Society of Mechanical Engineers

T2 - ASME 1999 Design Engineering Technical Conferences, DETC 1999

Y2 - 12 September 1999 through 16 September 1999

ER -

Uniformly bounded input gives ultimately bounded outpulon the dynamics of a piecewise linear beam system

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