Inverse structural modification using constraints
(2007) In Journal of Sound and Vibration 303(35). p.767779 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
 35
 pages
 767  779
 publisher
 Elsevier
 external identifiers

 wos:000246661400022
 scopus:34247186410
 ISSN
 0022460X
 DOI
 10.1016/j.jsv.2007.02.003
 language
 English
 LU publication?
 yes
 id
 ba5b4ce063b74fcdb55a9ef0cd03b54a (old id 617722)
 alternative location
 http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6WM34NBXVJV47&_cdi=6923&_user=745831&_orig=search&_coverDate=06%2F20%2F2007&_sk=996969996&view=c&wchp=dGLbVzzzSkzS&md5=a41501c4a9af51664dfc38b7529b2aff&ie=/sdarticle.pdf
 date added to LUP
 20160401 16:24:44
 date last changed
 20201122 06:23:15
@article{ba5b4ce063b74fcdb55a9ef0cd03b54a, 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 = {0022460X}, language = {eng}, number = {35}, pages = {767779}, 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}, }