Point mass identification in rectangular plates from minimal natural frequency data Articles uri icon

publication date

  • December 2016

start page

  • 245

end page

  • 261

volume

  • 80

International Standard Serial Number (ISSN)

  • 0888-3270

Electronic International Standard Serial Number (EISSN)

  • 1096-1216

abstract

  • The inverse problem of determining the location and size of a point mass attached on a simply supported, isotropic and homogeneous rectangular plate from minimal natural frequency data is considered in this paper. Under the assumption that the size of the mass is small compared to the total mass of the plate, we show that the problem can be formulated and solved in closed form in terms of point mass-induced changes on the first three natural frequencies. Numerical simulations indicate that the method allows for accurate identification, provided that measurement/modelling errors are smaller than eigenfrequency changes. (C) 2016 Elsevier Ltd. All rights reserved.

keywords

  • point mass; plates; natural frequencies; inverse problems; concentrated masses; vibrations; rods