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Aerospace 2018, 5(3), 95;

Natural Frequencies of Rectangular Laminated Plates—Introduction to Optimal Design in Aeroelastic Problems

Institute of Machine Design, Cracow University of Technology, 31-155 Kraków, Poland
Received: 7 August 2018 / Revised: 28 August 2018 / Accepted: 2 September 2018 / Published: 10 September 2018
(This article belongs to the Special Issue Aeroelasticity)
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Free vibration (or eigenvalue analysis) is a prerequisite for aeroelastic analysis. For divergence analysis, slope influence coefficients (rotation at point i due to unit load at point j) are calculated using free vibration mode shapes and corresponding frequencies. The lowest eigenvalue is of interest and gives the divergence speed. The present paper considers the maximization problem of eigenfrequencies for composite panels. The influence of boundary conditions and constant or variable stiffnesses on optimization results are investigated herein. A new convenient set of design variables is employed in the analysis. The computations are carried out with the use of the Rayleigh–Ritz method and Finite Element analysis (2D quadrilateral and 3D solid elements). View Full-Text
Keywords: free vibrations; laminated plates; optimization free vibrations; laminated plates; optimization

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Muc, A. Natural Frequencies of Rectangular Laminated Plates—Introduction to Optimal Design in Aeroelastic Problems. Aerospace 2018, 5, 95.

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