Receptances of non proportionally and continuously damped plates Reduced dampers method

This paper presents a method for the dynamic analysis of continuously and non-proportionally damped plates in bending modes. The damping can be in the form of constrained or unconstrained layers. The method is an extension of the equivalent dampers method discussed in a previous paper, in which the damping matrix of a discretized plate is replaced by a diagonal equivalent damping matrix. Each diagonal element represents an equivalent damper inserted between the structure and ground. In this method the number of equivalent dampers is reduced so that the receptance matrix of the damped structure can be obtained economically by a direct matrix method. The receptances of two different partially coated plates in transverse directions are computed by the method suggested. The verification of the results is demonstrated by comparison with the experimental values and also with the theoretical values obtained by the equivalent dampers method. The method presented can also be applied to the transverse vibration analysis of plates with discrete damping inserts.
Journal Of Sound And Vibration


Kayran, Altan (Elsevier BV, 1990-09-08)
An analysis is presented for the torsional vibration characteristics of layered composite paraboloidal shells. The conditions for the uncoupling of the torsional modes from the bending and extensional modes are first determined for a layered shell of revolution. A finite difference scheme is developed for the solution of the resulting governing equation for the uncoupled torsional frequencies. The results of the finite difference solution for the paraboloids are compared with the analytical solution of unco...
Fluid-structure interactions with both structural and fluid nonlinearities
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...
Vibrations of open-section channels: A coupled flexural and torsional wave analysis
Yaman, Yavuz (Elsevier BV, 1997-07-03)
An exact analytical method is presented for the analysis of forced vibrations of uniform, open-section channels. The centroid and the shear center of the channel cross-sections considered do not coincide; hence the flexural and the torsional vibrations are coupled. In the context of this study, the type of any existing coupling is defined in terms of the independent motions which are coupled through mass and/or stiffness terms. Hence, if the flexural vibrations in one direction are coupled with the torsiona...
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. ...
Citation Formats
H. N. Özgüven, “Receptances of non proportionally and continuously damped plates Reduced dampers method,” Journal Of Sound And Vibration, pp. 383–395, 1982, Accessed: 00, 2020. [Online]. Available: