Open Access
Using Iterated IRS Model Reduction Techniques to Calculate Eigensolutions
Michael I. Friswell,Seamus D. Garvey,John E. T. Penny +2 more
- 01 Jan 1997
- Vol. 3089, pp 1537-1543
22
TL;DR: In this paper, the Improved Reduced System (IRS) method is extended to produce an iterative algorithm for the reduction transformation, which is used to calculate the eigensolutions of a structure.
read more
Abstract: Static or Guyan reduction is widely used to reduce the number of degrees of freedom in a finite element model but it is exact only at zero frequency. The Improved Reduced System (IRS) method makes some allowance for the inertia terms and produces a reduced model which more accurately estimates the modal model of the full system. The IRS method may be extended to produce an iterative algorithm for the reduction transformation. On convergence this reduced model reproduces a subset of the modal model of the full system. An iterative version of the IRS method based on dynamic reduction has also been derived. This paper considers the possibility of using the iterated IRS method to calculate the eigensolutions of a structure. The method is compared to subspace iteration and a plate example given to evaluate its efficiency.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
•Dissertation
Computation of a Damping Matrix for Finite Element Model Updating
Deborah F. Pilkey
- 21 Apr 1998
TL;DR: This work investigates a robust, practical procedure to identify damping matrices based on prior knowledge of the finite element or analytical mass matrices and measured eigendata and its robustness.
62
Full-Field Dynamic Strain on Wind Turbine Blade Using Digital Image Correlation Techniques and Limited Sets of Measured Data From Photogrammetric Targets
TL;DR: In this article, two different methods for determining the dynamic stresses and strains using digital image correlation (DIC) and a newly developed expansion process in conjunction with the finite element model were presented.
40
Structural damage detection using sparse sensors installation by optimization procedure based on the modal flexibility matrix
A. Zare Hosseinzadeh,Gholamreza Ghodrati Amiri,Seyed Ali Seyed Razzaghi,Ki-Young Koo,Seung-Hun Sung +4 more
TL;DR: In this article, the authors presented a novel and effective method to detect and estimate structural damage by introducing an efficient objective function which is based on Modal Assurance Criterion (MAC) and modal flexibility matrix.
39
Convergence Acceleration of Iterative Modal Reduction Methods
Ki-Ook Kim,Myung-Ku Kang +1 more
TL;DR: In this paper, an accelerated method is presented for the iterative condensation of eigenproblems, motivated by the improved reduction system and the succession-level approximate reduction (SAR) method.
37
References
Reduction of stiffness and mass matrices
TL;DR: In this article, the authors proposed a method for reducing the size of the stiffness matrix by eliminating coordinates at which no forces are applied, based on the procedure used in Ref. 1 for stiffness matrix reduction.
2.6K
Model reduction using dynamic and iterated IRS techniques
TL;DR: The IRS method is extended by obtaining the equivalent transformation based on dynamic rather than static reduction, and an iterative algorithm, based on the IRS method, is described, which provides a reduced model which reproduces a subset of the modal model of the full system.
308
Automatic choice of measurement locations for dynamic testing
TL;DR: This paper examines the problem of choosing an optimum set of measurement locations for experimental modal testing and suggests criteria whereby the suitability of the chosen locations can be assessed and suggests methods of coordinate selection based on Guyan reduction and the Fisher information matrix.
169
An iterative approach to a reduced mass matrix
Mark A. Blair,Thomas S. Camino,John M. Dickens +2 more
- 01 Jan 1991
14