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Optimization of linear segmented circular Mindlin plates for maximum fundamental frequency
Presented herein is an efficient numerical method for optimizing piecewise linear segmented circular Mindlin plates for maximum fundamental frequency. The method features the use of the Ritz method for the vibration analysis which makes the handling of variable segments relatively easy. Optimal solutions for simply supported and clamped plates show that the fundamental frequency can be increased significantly over the constant thickness plate design, even with a small number of segments. The study shows that using about 6 segments for simply supported plates and 10 segments for clamped plates, the optimal fundamental frequencies for very thin plates are only, respectively, about 0.4 % and 3.4 % from Olhoff's (Int. J. of Solids and Struct., 1970, 6, pp 139-156) continuously varying thickness plate solutions. The use of variable segmental lengths was found to be effective in increasing the fundamental frequency value even when only a few segments were employed. The effects of transverse shear deformation and rotary inertia, however, do not affect significantly the optimal shape of the circular plate. The use of the optimal shape of the Kirchhoff plate as the 'optimal solution' will suffice since the fundamental frequency is raised only marginally with a thick (Mindlin) plate analysis.
Optimization of linear segmented circular Mindlin plates for maximum fundamental frequency
Presented herein is an efficient numerical method for optimizing piecewise linear segmented circular Mindlin plates for maximum fundamental frequency. The method features the use of the Ritz method for the vibration analysis which makes the handling of variable segments relatively easy. Optimal solutions for simply supported and clamped plates show that the fundamental frequency can be increased significantly over the constant thickness plate design, even with a small number of segments. The study shows that using about 6 segments for simply supported plates and 10 segments for clamped plates, the optimal fundamental frequencies for very thin plates are only, respectively, about 0.4 % and 3.4 % from Olhoff's (Int. J. of Solids and Struct., 1970, 6, pp 139-156) continuously varying thickness plate solutions. The use of variable segmental lengths was found to be effective in increasing the fundamental frequency value even when only a few segments were employed. The effects of transverse shear deformation and rotary inertia, however, do not affect significantly the optimal shape of the circular plate. The use of the optimal shape of the Kirchhoff plate as the 'optimal solution' will suffice since the fundamental frequency is raised only marginally with a thick (Mindlin) plate analysis.
Optimization of linear segmented circular Mindlin plates for maximum fundamental frequency
Optimierung von linear segmentierten Mindlin-Kreisplatten für eine maximale Grundfrequenz
Chou, F.S. (Autor:in) / Wang, C.M. (Autor:in)
Structural Optimization ; 11 ; 128-133
1996
6 Seiten, 7 Bilder, 2 Tabellen, 8 Quellen
Aufsatz (Zeitschrift)
Englisch
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