<abstract xmlns="http://www.w3.org/1999/xhtml"><p><italic>Damping effects are of great interest for structural analysis and evaluations. Structural</italic><italic>modal damping characteristics can be obtained from experiments. This paper introduces</italic><italic>new possibilities for the modelling of the damping of a dynamic system with classical normal</italic><italic>modes and provides an overview of the known methods for formulating a damping matrix</italic><italic>base with experimental modal damping values. The proposed method offers an opportunity</italic><italic>to extrapolate modal damping values for unmeasured modes by a regression method based</italic><italic>on the measured modal properties. The points of view on the choice of an analytical form</italic><italic>for damping regression functions are examined. An analytical form of regression functions</italic><italic>can be chosen as the modal decay rate versus the square of the frequency or the modal</italic><italic>damping ratio versus the frequency. Damping regressions can be performed based on</italic><italic>a group of typical vibration modes, such as bending, torsion and lateral, symmetrical or</italic><italic>anti-symmetrical modes. The regression data obtained for the damping constants can then</italic><italic>be applied in a finite element model for further structural analysis.</italic></p></abstract>

Damping effects are of great interest for structural analysis and evaluations. Structuralmodal damping characteristics can be obtained from experiments. This paper introducesnew possibilities for the modelling of the damping of a dynamic system with classical normalmodes and provides an overview of the known methods for formulating a damping matrixbase with experimental modal damping values. The proposed method offers an opportunityto extrapolate modal damping values for unmeasured modes by a regression method basedon the measured modal properties. The points of view on the choice of an analytical formfor damping regression functions are examined. An analytical form of regression functionscan be chosen as the modal decay rate versus the square of the frequency or the modaldamping ratio versus the frequency. Damping regressions can be performed based ona group of typical vibration modes, such as bending, torsion and lateral, symmetrical oranti-symmetrical modes. The regression data obtained for the damping constants can thenbe applied in a finite element model for further structural analysis.

Estimation of Modal Dampings for Unmeasured Modes

Department of Building Machines, Materials Handling Machines and Manufacturing Logistic, Faculty of Transportation Engineering, Budapest University of Technology and Economics, Budapest, Hungary.

Aerospace Engineering, College of Engineering, Swansea University, Singleton Park, Swansea SA2 8PP, United Kingdom.

Department of Mechanical Engineering, National Pingtung University of Science and Technology, Pingtung, 912, Taiwan.

Slovak Journal of Civil Engineering

{"article-title":"Estimation of Modal Dampings for Unmeasured Modes"}

Damping effects are of great interest for structural analysis and evaluations. Structuralmodal damping characteristics can be obtained from experiments. This...

Estimation of Modal Dampings for Unmeasured Modes

Published Online: Jan 17, 2013

Page range: 17 - 27

DOI: https://doi.org/10.2478/v10189-012-0018-3

This content is open access.