Direct identification and expansion of damping matrix for experimental-analytical hybrid modeling

The theory of direct experimental identification of damping matrix based on the dynamic stiffness matrix (DSM) method is further developed in this work. Based on the relationship between the DSMs of the smaller experimental model and larger analytical model, the mathematical relationship between the damping matrices of the two models is established. Examining the relationship, two methods are developed that can be used to expand the experimental damping matrix to the size of the analytical model. Validity of the expansion methods is demonstrated with numerical examples. The expanded damping matrix is intended to be combined with analytically formulated stiffness and mass matrices to build an experimental–analytical hybrid model. To find the frequency range, in which such a hybrid modeling is valid, a simple but effective method is developed.
Journal of Sound and Vibration


Error analysis and feasibility study of dynamic stiffness matrix-based damping matrix identification
Özgen, Gökhan Osman (Elsevier BV, 2009-02-06)
Developing a method to formulate a damping matrix that represents the actual spatial distribution and mechanism of damping of the dynamic system has been an elusive goal. The dynamic stiffness matrix (DSM)-based damping identification method proposed by Lee and Kim is attractive and promising because it identifies the damping matrix from the measured DSM without relying on any unfounded assumptions. However, in ensuing works it was found that damping matrices identified from the method had unexpected forms ...
Özgüven, Hasan Nevzat (Elsevier BV, 1987-09-08)
A method of calculating the receptances of a non-proportionally damped structure from the undamped modal data and the damping matrix of the system is presented. The method developed is an exact method. It gives exact results when exact undamped receptances are employed in the computation. Inaccuracies are due to the truncations made in the calculation of undamped receptances. Numerical examples, demonstrating the accuracy and speed of the method when truncated receptance series are used are also presented. ...
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Bendiksen, O. O.; Seber, G. (Elsevier BV, 2008-08-19)
In this study, we consider a class of nonlinear aeroelastic stability problems, where geometric nonlinearities arising from large deflections and rotations in the structure interact with aerodynamic nonlinearities caused by moving shocks. Examples include transonic panel flutter and flutter of transonic wings of high aspect ratio, where the presence of both structural and aerodynamic nonlinearities can have a dramatic qualitative as well as quantitative effect on the flutter behavior. Both cases represent i...
Şener, Ö Sedat; Özgüven, Hasan Nevzat (Elsevier BV, 1993-09-22)
In this study dynamic mesh forces and dynamic factors in a geared shaft system are studied by using a continuous system model. The system consists of a gear pair, two shafts carrying gears, and two inertias representing drive and load in the system. A continuous system model is used to include the shaft inertias, which are usually disregarded even in most of the sophisticated models. The primary aim of this work is to provide a tool for studying the effect of shaft inertia in gear dynamics, and to present s...
Excitonic effects on the nonlinear optical properties of small quantum dots
KARABULUT, İBRAHİM; Safak, H.; Tomak, Mehmet (IOP Publishing, 2008-08-07)
The excitonic effects on the nonlinear optical properties of small quantum dots with a semiparabolic confining potential are studied under the density matrix formalism. First, within the framework of the strong confinement approximation, we present the excitonic states and then calculate the excitonic effects on the nonlinear optical properties, such as second harmonic generation, third harmonic generation, nonlinear absorption coefficient and refractive index changes. We find the explicit analytical expres...
Citation Formats
G. O. Özgen, “Direct identification and expansion of damping matrix for experimental-analytical hybrid modeling,” Journal of Sound and Vibration, pp. 348–372, 2007, Accessed: 00, 2020. [Online]. Available: