Inverse structural modification using constraints
(2007) In Journal of Sound and Vibration 303(3-5). p.767-779- Abstract
- In a structural modification problem the mass and stiffness matrices are modified to obtain a desired spectrum. In this paper, this is done by imposing constraints on the structure. The undamped natural vibrations of a constrained linear structure are calculated by solving a generalized eigenvalue problem derived from the equations of motion for the constrained system involving Lagrangian multipliers. The coefficients of the constraint matrix are taken as design variables and a set of equations defining the inverse structural modification problem is formulated. This modification problem requires an iterative method for its solution. An algorithm based on Newton's method is employed. Each iteration step involves the calculation of a... (More)
- In a structural modification problem the mass and stiffness matrices are modified to obtain a desired spectrum. In this paper, this is done by imposing constraints on the structure. The undamped natural vibrations of a constrained linear structure are calculated by solving a generalized eigenvalue problem derived from the equations of motion for the constrained system involving Lagrangian multipliers. The coefficients of the constraint matrix are taken as design variables and a set of equations defining the inverse structural modification problem is formulated. This modification problem requires an iterative method for its solution. An algorithm based on Newton's method is employed. Each iteration step involves the calculation of a rectangular Jacobian and the solving of an associated underdetermined system of linear equations. The system can be solved by using the Moore–Penrose inverse. The method is demonstrated in some numerical examples. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/617722
- author
- Olsson, Pär LU and Lidström, Per LU
- organization
- publishing date
- 2007
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Sound and Vibration
- volume
- 303
- issue
- 3-5
- pages
- 767 - 779
- publisher
- Elsevier
- external identifiers
-
- wos:000246661400022
- scopus:34247186410
- ISSN
- 0022-460X
- DOI
- 10.1016/j.jsv.2007.02.003
- language
- English
- LU publication?
- yes
- id
- ba5b4ce0-63b7-4fcd-b55a-9ef0cd03b54a (old id 617722)
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- date added to LUP
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- date last changed
- 2022-01-28 19:33:59
@article{ba5b4ce0-63b7-4fcd-b55a-9ef0cd03b54a,
abstract = {{In a structural modification problem the mass and stiffness matrices are modified to obtain a desired spectrum. In this paper, this is done by imposing constraints on the structure. The undamped natural vibrations of a constrained linear structure are calculated by solving a generalized eigenvalue problem derived from the equations of motion for the constrained system involving Lagrangian multipliers. The coefficients of the constraint matrix are taken as design variables and a set of equations defining the inverse structural modification problem is formulated. This modification problem requires an iterative method for its solution. An algorithm based on Newton's method is employed. Each iteration step involves the calculation of a rectangular Jacobian and the solving of an associated underdetermined system of linear equations. The system can be solved by using the Moore–Penrose inverse. The method is demonstrated in some numerical examples.}},
author = {{Olsson, Pär and Lidström, Per}},
issn = {{0022-460X}},
language = {{eng}},
number = {{3-5}},
pages = {{767--779}},
publisher = {{Elsevier}},
series = {{Journal of Sound and Vibration}},
title = {{Inverse structural modification using constraints}},
url = {{http://dx.doi.org/10.1016/j.jsv.2007.02.003}},
doi = {{10.1016/j.jsv.2007.02.003}},
volume = {{303}},
year = {{2007}},
}