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ANALYSIS of FREE FLEXURAL VIBRATIONS of COMPOSITE MINDLIN BASE PLATES or PANELS REINFORCED by THREE BONDED PLATE STRIPS
Date
2010-11-18
Author
Yuceoglu, Umur
Javanshir, Jaber
Amireghbali, Aydin
Guvendik, Ozen
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The present study is about the theoretical analysis and the numerical solutions of the free vibrations of a certain type of the "Bonded and Stiffened System". In other words, the "Free Bending Vibrations of Composite Mindlin Base Plates or Panels Reinforced by Three Bonded Stiffening Plate Strips" are investigated. The-plate elements of the entire "System" are considered as the dissimilar "Orthotropic Mindlin Plates" with the transverse shear deformations and the transverse and the rotatory moments of inertia. The relatively very thin and linearly elastic adhesive layers between the "Stiffening Plate Strips" and the "Base Plate or Panel" are assumed to be subjected to transverse normal and shear stresses. Also, the dissimilar adhesive layers with unequal thicknesses and the different material characteristics are to be taken into account in the theoretical formulation. The dynamic equations, the stress resultant-displacement expressions and the adhesive layer equations of the "System" under study are combined together in each "Part" (or "Region") of the "Bonded and Stiffened System". Following some manipulations and combinations, they are, eventually, reduced to a set of the "Governing System of the First Order Ordinary Differential Equations" in "state vector" forms. The aforementioned system of equations are very suitable for the direct application of the present "Method of Solution" developed for the problem. This semi-analytical and the numerical solution technique is the "Modified Transfer Matrix Method(MTMM) (with Interpolation Polynomials)". The system of equations in the "state vector" forms are numerically integrated and the mode shapes and the natural frequencies are presented for various sets of the "Boundary Conditions". It was observed that, in the "Hard" (or relatively "Stiff") adhesive layers case, the regions with the "Bonded Stiffening Plate Strips" are "almost stationary" in all modes up to the sixth mode, while the rest of the "System" vibrates in a way dependent on the "Support Conditions" of the "Base Plate or Panel". However, in the "Soft" (or relatively "Flexible") adhesive layer cases, there is no "almost stationary" region anywhere in the "System". Additionally, some important parameters such as "Thickness Ratio" on the natural frequencies are investigated and graphically presented for a set of the "Support Conditions".
Subject Keywords
Lap-joint
,
Natural frequencies
,
Beams
URI
https://hdl.handle.net/11511/67717
Collections
Department of Aerospace Engineering, Conference / Seminar
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"ROTATION OF MATERIAL AXES EFFECTS ON FREE BENDING VIBRATIONS RESPONSE OF COMPOSITE MINDLIN BASE PLATES OR PANELS STIFFENED BY THREE BONDED PLATE STRIPS"
Yuceoglu, U.; Javanshir, J.; Farsadi, T.; Guvendik, O. (2011-11-17)
In the present study, the rotation of material axes on the free bending vibrations response of a certain type of composite "Bonded and Stiffened System" is theoretically analyzed and numerically solved with some numerical results. The composite "Bonded and Stiffened System" is composed of a "Mindlin Base Plate or Panel" reinforced by three "Bonded Stiffening Plate Strips". In the analysis, the 90 rotation effects of the material axes on the natural frequencies and the mode shapes of the entire "System" are ...
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U. Yuceoglu, J. Javanshir, A. Amireghbali, and O. Guvendik, “ANALYSIS of FREE FLEXURAL VIBRATIONS of COMPOSITE MINDLIN BASE PLATES or PANELS REINFORCED by THREE BONDED PLATE STRIPS,” 2010, p. 9, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/67717.
