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**Harvard**

Rahrovani, S., Khorsand Vakilzadeh, M. och Abrahamsson, T. (2014) *A Metric for Modal Truncation in Model Reduction Problems Part 2: Extension to Systems with High-Dimensional Input Space*.

** BibTeX **

@conference{

Rahrovani2014,

author={Rahrovani, Sadegh and Khorsand Vakilzadeh, Majid and Abrahamsson, Thomas},

title={A Metric for Modal Truncation in Model Reduction Problems Part 2: Extension to Systems with High-Dimensional Input Space},

booktitle={31st International Modal Analysis Conference on Structural Dynamics, IMAC 2013; Garden Grove, CA; United States; 11 February 2013 through 14 February 2013},

isbn={978-1-4614-6584-3},

pages={789-796},

abstract={In the first part of this study, a theoretical investigation of an improved modal approach and a complete error analysis of the proposed modal dominancy metric were presented. In this part the problem of metric non-uniqueness for systems with multiple eigenvalues is described and a method to circumvent this problem based on spatial distribution of either the sensors or the actuators is proposed. This technique is implemented using QR factorization without solving Lyapunov equations. Moreover, the method is improved such that it is able to use the information extracted from spectral properties of the input. Also in order to make the method more effective, information extracted from the input internal structure is incorporated in the modal ranking process. It is shown that this improvement is particularly effective in problems with high-dimensional input and/or output space such as in distributed loading and moving load problems. Finally the performance of the method is validated for a high order system subjected to a high-dimensional input force. That originates from a railway track moving load problem.},

year={2014},

keywords={Model reduction; High-dimensional input space; Spectrum; Spatial distribution; Singular value decomposition},

}

** RefWorks **

RT Conference Proceedings

SR Electronic

ID 197029

A1 Rahrovani, Sadegh

A1 Khorsand Vakilzadeh, Majid

A1 Abrahamsson, Thomas

T1 A Metric for Modal Truncation in Model Reduction Problems Part 2: Extension to Systems with High-Dimensional Input Space

YR 2014

T2 31st International Modal Analysis Conference on Structural Dynamics, IMAC 2013; Garden Grove, CA; United States; 11 February 2013 through 14 February 2013

SN 978-1-4614-6584-3

SP 789

OP 796

AB In the first part of this study, a theoretical investigation of an improved modal approach and a complete error analysis of the proposed modal dominancy metric were presented. In this part the problem of metric non-uniqueness for systems with multiple eigenvalues is described and a method to circumvent this problem based on spatial distribution of either the sensors or the actuators is proposed. This technique is implemented using QR factorization without solving Lyapunov equations. Moreover, the method is improved such that it is able to use the information extracted from spectral properties of the input. Also in order to make the method more effective, information extracted from the input internal structure is incorporated in the modal ranking process. It is shown that this improvement is particularly effective in problems with high-dimensional input and/or output space such as in distributed loading and moving load problems. Finally the performance of the method is validated for a high order system subjected to a high-dimensional input force. That originates from a railway track moving load problem.

LA eng

DO 10.1007/978-1-4614-6585-0_74

LK http://dx.doi.org/10.1007/978-1-4614-6585-0_74

OL 30