A Transfer Matrix Approach to Vibration Localization in Mistuned Blade Assemblies PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download A Transfer Matrix Approach to Vibration Localization in Mistuned Blade Assemblies PDF full book. Access full book title A Transfer Matrix Approach to Vibration Localization in Mistuned Blade Assemblies by National Aeronautics and Space Administration (NASA). Download full books in PDF and EPUB format.
Author: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
ISBN: 9781722038434
Category :
Languages : en
Pages : 42
Get Book Here
Book Description
A study of mode localization in mistuned bladed disks is performed using transfer matrices. The transfer matrix approach yields the free response of a general, mono-coupled, perfectly cyclic assembly in closed form. A mistuned structure is represented by random transfer matrices, and the expansion of these matrices in terms of the small mistuning parameter leads to the definition of a measure of sensitivity to mistuning. An approximation of the localization factor, the spatially averaged rate of exponential attenuation per blade-disk sector, is obtained through perturbation techniques in the limits of high and low sensitivity. The methodology is applied to a common model of a bladed disk and the results verified by Monte Carlo simulations. The easily calculated sensitivity measure may prove to be a valuable design tool due to its system-independent quantification of mistuning effects such as mode localization. Ottarson, Gisli and Pierre, Chritophe Glenn Research Center NCC3-233; RTOP 505-62-21...
Author: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
ISBN: 9781722038434
Category :
Languages : en
Pages : 42
Get Book Here
Book Description
A study of mode localization in mistuned bladed disks is performed using transfer matrices. The transfer matrix approach yields the free response of a general, mono-coupled, perfectly cyclic assembly in closed form. A mistuned structure is represented by random transfer matrices, and the expansion of these matrices in terms of the small mistuning parameter leads to the definition of a measure of sensitivity to mistuning. An approximation of the localization factor, the spatially averaged rate of exponential attenuation per blade-disk sector, is obtained through perturbation techniques in the limits of high and low sensitivity. The methodology is applied to a common model of a bladed disk and the results verified by Monte Carlo simulations. The easily calculated sensitivity measure may prove to be a valuable design tool due to its system-independent quantification of mistuning effects such as mode localization. Ottarson, Gisli and Pierre, Chritophe Glenn Research Center NCC3-233; RTOP 505-62-21...
Author: Gisli Ottarsson
Publisher:
ISBN:
Category : Aeroelasticity
Languages : en
Pages : 42
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 492
Get Book Here
Book Description
Author: Charles E. Feiler
Publisher:
ISBN:
Category : Computer science
Languages : en
Pages : 64
Get Book Here
Book Description
Author: Charles E. Feiler
Publisher:
ISBN:
Category :
Languages : en
Pages : 56
Get Book Here
Book Description
Author: Alexander F. Vakakis
Publisher: Springer Science & Business Media
ISBN: 9401724520
Category : Science
Languages : en
Pages : 290
Get Book Here
Book Description
The nonlinear normal modes of a parametrically excited cantilever beam are constructed by directly applying the method of multiple scales to the governing integral-partial differential equation and associated boundary conditions. The effect of the inertia and curvature nonlin earities and the parametric excitation on the spatial distribution of the deflection is examined. The results are compared with those obtained by using a single-mode discretization. In the absence of linear viscous and quadratic damping, it is shown that there are nonlinear normal modes, as defined by Rosenberg, even in the presence of a principal parametric excitation. Furthermore, the nonlinear mode shape obtained with the direct approach is compared with that obtained with the discretization approach for some values of the excitation frequency. In the single-mode discretization, the spatial distribution of the deflection is assumed a priori to be given by the linear mode shape ¢n, which is parametrically excited, as Equation (41). Thus, the mode shape is not influenced by the nonlinear curvature and nonlinear damping. On the other hand, in the direct approach, the mode shape is not assumed a priori; the nonlinear effects modify the linear mode shape ¢n. Therefore, in the case of large-amplitude oscillations, the single-mode discretization may yield inaccurate mode shapes. References 1. Vakakis, A. F., Manevitch, L. I., Mikhlin, Y. v., Pilipchuk, V. N., and Zevin A. A., Nonnal Modes and Localization in Nonlinear Systems, Wiley, New York, 1996.
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 480
Get Book Here
Book Description
Author: Gísli Sigurbjörn Óttarsson
Publisher:
ISBN:
Category :
Languages : en
Pages : 442
Get Book Here
Book Description
Author: Wan Joe Chen
Publisher:
ISBN:
Category :
Languages : en
Pages : 466
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 400
Get Book Here
Book Description
