Calculation of the Response of a Periodically Excited Beam with Frictional Contact Using Harmonic Balance Method

Konrad Weisheit; Steffen Marburg

doi:10.1016/j.piutam.2016.03.035

Calculation of the Response of a Periodically Excited Beam with Frictional Contact Using Harmonic Balance Method

Konrad Weisheit, Steffen Marburg

Universität der Bundeswehr München

Research output: Contribution to journal › Conference article › peer-review

8 Scopus citations

Abstract

The response of a beam with dry friction damper to harmonic excitation is investigated. The beam is clamped to a frame at one end. The other end is in frictional contact to a plate. The contact model assumes Coulomb friction law with constant normal force. The Harmonic Balance Method (HBM) is used to calculate the vibrational behavior of the system. The main focus lies on excitation with frequencies well below the first eigenfrequency, for which phases of stick and slip occur in the contact area. It is shown that harmonics of higher order have to be considered when a certain approximation quality is needed. Results of the HBM are compared to those of direct time integration. HBM results converge to the direct time integration solution, when the number of harmonics is increased. Furthermore, the calculations are compared to experimental results.

Original language	English
Pages (from-to)	282-288
Number of pages	7
Journal	Procedia IUTAM
Volume	19
DOIs	https://doi.org/10.1016/j.piutam.2016.03.035
State	Published - 2016
Externally published	Yes
Event	IUTAM Symposium Analytical Methods in Nonlinear Dynamics, 2015 - Frankfurt, Germany Duration: 6 Jun 2015 → 9 Jun 2015

Keywords

Harmonic Balance Method
forced vibration
friction
frictional damping

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10.1016/j.piutam.2016.03.035

Cite this

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title = "Calculation of the Response of a Periodically Excited Beam with Frictional Contact Using Harmonic Balance Method",

abstract = "The response of a beam with dry friction damper to harmonic excitation is investigated. The beam is clamped to a frame at one end. The other end is in frictional contact to a plate. The contact model assumes Coulomb friction law with constant normal force. The Harmonic Balance Method (HBM) is used to calculate the vibrational behavior of the system. The main focus lies on excitation with frequencies well below the first eigenfrequency, for which phases of stick and slip occur in the contact area. It is shown that harmonics of higher order have to be considered when a certain approximation quality is needed. Results of the HBM are compared to those of direct time integration. HBM results converge to the direct time integration solution, when the number of harmonics is increased. Furthermore, the calculations are compared to experimental results.",

keywords = "Harmonic Balance Method, forced vibration, friction, frictional damping",

author = "Konrad Weisheit and Steffen Marburg",

note = "Publisher Copyright: {\textcopyright} 2016 The Authors.; IUTAM Symposium Analytical Methods in Nonlinear Dynamics, 2015 ; Conference date: 06-06-2015 Through 09-06-2015",

year = "2016",

doi = "10.1016/j.piutam.2016.03.035",

language = "English",

volume = "19",

pages = "282--288",

journal = "Procedia IUTAM",

issn = "2210-9838",

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TY - JOUR

T1 - Calculation of the Response of a Periodically Excited Beam with Frictional Contact Using Harmonic Balance Method

AU - Weisheit, Konrad

AU - Marburg, Steffen

PY - 2016

Y1 - 2016

N2 - The response of a beam with dry friction damper to harmonic excitation is investigated. The beam is clamped to a frame at one end. The other end is in frictional contact to a plate. The contact model assumes Coulomb friction law with constant normal force. The Harmonic Balance Method (HBM) is used to calculate the vibrational behavior of the system. The main focus lies on excitation with frequencies well below the first eigenfrequency, for which phases of stick and slip occur in the contact area. It is shown that harmonics of higher order have to be considered when a certain approximation quality is needed. Results of the HBM are compared to those of direct time integration. HBM results converge to the direct time integration solution, when the number of harmonics is increased. Furthermore, the calculations are compared to experimental results.

AB - The response of a beam with dry friction damper to harmonic excitation is investigated. The beam is clamped to a frame at one end. The other end is in frictional contact to a plate. The contact model assumes Coulomb friction law with constant normal force. The Harmonic Balance Method (HBM) is used to calculate the vibrational behavior of the system. The main focus lies on excitation with frequencies well below the first eigenfrequency, for which phases of stick and slip occur in the contact area. It is shown that harmonics of higher order have to be considered when a certain approximation quality is needed. Results of the HBM are compared to those of direct time integration. HBM results converge to the direct time integration solution, when the number of harmonics is increased. Furthermore, the calculations are compared to experimental results.

KW - Harmonic Balance Method

KW - forced vibration

KW - friction

KW - frictional damping

UR - http://www.scopus.com/inward/record.url?scp=85029442563&partnerID=8YFLogxK

U2 - 10.1016/j.piutam.2016.03.035

DO - 10.1016/j.piutam.2016.03.035

M3 - Conference article

AN - SCOPUS:85029442563

SN - 2210-9838

VL - 19

SP - 282

EP - 288

JO - Procedia IUTAM

JF - Procedia IUTAM

T2 - IUTAM Symposium Analytical Methods in Nonlinear Dynamics, 2015

Y2 - 6 June 2015 through 9 June 2015

ER -

Calculation of the Response of a Periodically Excited Beam with Frictional Contact Using Harmonic Balance Method

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Keywords

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