Finite Element Model Updating Method of Dynamic Systems

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Finite Element Model Updating Method of Dynamic Systems
2.	Creator	Author's name, affiliation, country	D. A Krasnorutskiy; Novosibirsk State Technical University; Siberian Aeronautical Research Institute named after S. A. Chaplygin
2.	Creator	Author's name, affiliation, country	P. A Lakiza; Novosibirsk State Technical University; Siberian Aeronautical Research Institute named after S. A. Chaplygin
2.	Creator	Author's name, affiliation, country	V. A Berns; Novosibirsk State Technical University; Siberian Aeronautical Research Institute named after S. A. Chaplygin
2.	Creator	Author's name, affiliation, country	E. P Zhukov; Novosibirsk State Technical University; Siberian Aeronautical Research Institute named after S. A. Chaplygin
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	finite element model updating; natural oscillations; modal characteristics; stiffness matrix updating; MAC-criterion; modal analysis; updating stiffnesses; truss finite elements; solid finite elements; dynamically-scaled model
4.	Description	Abstract	The finite element model updating method of dynamical systems based on results of modal tests is proposed. The purpose of updating is to change eigenspectrum. The method alters a stiffness matrix by adding an updating finite element model created on the nodes of the intial one with respect to the existing links between the linear degrees of freedom. The stiffnesses of the updating elements are utilized as the updating parameters to be defined. The objective function equals to the least square weighted sum of residuals between the target, which were determined experimentally, and current values of modal stiffnesses. The iterative solution process is carried out. At each iteration step the conjugate gradient method is applied to solve the unconstrained minimization problem. The modeshapes, which were calculated as the result of solving the generalized eigenvalue problem at the previous iteration step, are employed to calculate the current modal stiffnesses. The method does not have a limit to a size of matrices and keeps their sparsity and symmetry. It provides the model updating of selected regions of a structure and step-by-step model updating of predefined groups of eigenfrequencies. Moreover, geometrical features of a structure, such as the presence of the symmetry planes and structurally identical elements, may be taken into account. The method is implemented into a program and verified by the example of the free dynamically-scaled model of Tu-204. In order to perform the ground vibration testing, the model was suspended with a low-rigidity flexible support. The finite element model made of solid elements has been updated on the basis of the six experimentally determined sets of eigenfrequencies. The target frequencies from each set have been achieved with a high level of accuracy.
5.	Publisher	Organizing agency, location	PNRPU Publishing House
6.	Contributor	Sponsor(s)
7.	Date	(DD-MM-YYYY)	15.12.2021
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF (Rus)
10.	Identifier	Uniform Resource Identifier	https://ered.pstu.ru/index.php/mechanics/article/view/1852
10.	Identifier	Digital Object Identifier (DOI)	10.15593/perm.mech/2021.3.08
11.	Source	Title; vol., no. (year)	PNRPU Mechanics Bulletin; No 3 (2021)
12.	Language	English=en	ru
13.	Relation	Supp. Files
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
15.	Rights	Copyright and permissions	Copyright (c) 2021 Krasnorutskiy D.A., Lakiza P.A., Berns V.A., Zhukov E.P. This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.