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Simplification of complex structural dynamic models : A case study related to a cantilever beam and a large mass attachment

Langer, Patrick ; Jelich, Christopher ; Guist, Christian ; Peplow, Andrew LU orcid and Marburg, Steffen (2021) In Applied Sciences (Switzerland) 11(12).
Abstract

Large attachments can dramatically affect the dynamic response of an assembled structure. In various industrial sectors, e.g., the automotive, aircraft, and shipbuilding industries, it is often necessary to predict the dynamic response of assembled structures and large attachments in early-stage engineering design. To deal with this, it is often the finite element method (FEM) that is used in the vibrational analysis. Despite the advent of large-scale computer availability, it is still common-place, and often necessary, to reduce the model-size with large attachments to acceptable levels for computer time-scale or memory-size limitations. This article discusses the simple methodology of replacing large and sometimes complicated... (More)

Large attachments can dramatically affect the dynamic response of an assembled structure. In various industrial sectors, e.g., the automotive, aircraft, and shipbuilding industries, it is often necessary to predict the dynamic response of assembled structures and large attachments in early-stage engineering design. To deal with this, it is often the finite element method (FEM) that is used in the vibrational analysis. Despite the advent of large-scale computer availability, it is still common-place, and often necessary, to reduce the model-size with large attachments to acceptable levels for computer time-scale or memory-size limitations. This article discusses the simple methodology of replacing large and sometimes complicated attachments by using a simplified boundary condition. This methodology is well-known in certain sectors of computer-aided design, but here we are able to present a comprehensive discussion from laboratory measurements, finite element analysis and a simplified perspective. Given the availability of experimental data, the errors produced by these methodologies may then be determined by a structure that has a strictly defined geometry and known material properties within a certain tolerance. To demonstrate these effects, an experimental modal analysis is performed on a structure consisting of a beam and a large mass attachment, which is then validated by each of the finite element models that include the relevant approximate ideal boundary conditions. Various approximating boundary conditions are investigated, and quantifiable results are discussed. One of the conclusions confirms the recommendation that rotary inertia terms should be included as a boundary condition wherever possible when large attachments are approximated by an offset mass defined at a point.

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author
; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Cantilever beam, Experimental modal analysis, Finite element modelling, Model simplification, Vibrations
in
Applied Sciences (Switzerland)
volume
11
issue
12
article number
5428
publisher
MDPI AG
external identifiers
  • scopus:85108456273
ISSN
2076-3417
DOI
10.3390/app11125428
language
English
LU publication?
yes
additional info
Funding Information: Funding: This research was partially funded by the Bavarian Research Foundation. Publisher Copyright: © 2021 by the authors. Licensee MDPI, Basel, Switzerland. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.
id
c737620b-3803-416a-b49a-8a65f9d483b2
date added to LUP
2021-07-05 10:41:22
date last changed
2022-04-27 02:42:02
@article{c737620b-3803-416a-b49a-8a65f9d483b2,
  abstract     = {{<p>Large attachments can dramatically affect the dynamic response of an assembled structure. In various industrial sectors, e.g., the automotive, aircraft, and shipbuilding industries, it is often necessary to predict the dynamic response of assembled structures and large attachments in early-stage engineering design. To deal with this, it is often the finite element method (FEM) that is used in the vibrational analysis. Despite the advent of large-scale computer availability, it is still common-place, and often necessary, to reduce the model-size with large attachments to acceptable levels for computer time-scale or memory-size limitations. This article discusses the simple methodology of replacing large and sometimes complicated attachments by using a simplified boundary condition. This methodology is well-known in certain sectors of computer-aided design, but here we are able to present a comprehensive discussion from laboratory measurements, finite element analysis and a simplified perspective. Given the availability of experimental data, the errors produced by these methodologies may then be determined by a structure that has a strictly defined geometry and known material properties within a certain tolerance. To demonstrate these effects, an experimental modal analysis is performed on a structure consisting of a beam and a large mass attachment, which is then validated by each of the finite element models that include the relevant approximate ideal boundary conditions. Various approximating boundary conditions are investigated, and quantifiable results are discussed. One of the conclusions confirms the recommendation that rotary inertia terms should be included as a boundary condition wherever possible when large attachments are approximated by an offset mass defined at a point.</p>}},
  author       = {{Langer, Patrick and Jelich, Christopher and Guist, Christian and Peplow, Andrew and Marburg, Steffen}},
  issn         = {{2076-3417}},
  keywords     = {{Cantilever beam; Experimental modal analysis; Finite element modelling; Model simplification; Vibrations}},
  language     = {{eng}},
  month        = {{06}},
  number       = {{12}},
  publisher    = {{MDPI AG}},
  series       = {{Applied Sciences (Switzerland)}},
  title        = {{Simplification of complex structural dynamic models : A case study related to a cantilever beam and a large mass attachment}},
  url          = {{http://dx.doi.org/10.3390/app11125428}},
  doi          = {{10.3390/app11125428}},
  volume       = {{11}},
  year         = {{2021}},
}