NDLI: Optimal location of a cutout in rectangular Mindlin plates for maximum fundamental frequency of vibration

Content Provider	Springer Nature Link
Author	Wang, C.M. Wu, W.Q.
Copyright Year	2002
Abstract	This brief note presents an effective numerical technique for determining the optimal location of a cutout in rectangular Mindlin plates for maximum fundamental frequency of vibration. Instead of adopting the widely-used finite element method for the vibration analysis, we propose that the Ritz method be employed as the latter method avoids the need to remesh and redefine connectivity for a perforated plate at every iteration step of the optimization procedure. The location of a cutout, of a given shape and size, is specified by the coordinates of the geometric centre of the cutout. The optimal values of these coordinates are determined using the Generalized Reduced Gradient (GRG) method. To demonstrate the method, optimal locations of circular and square cutouts in square plates are determined. The sensitivity of the fundamental frequency to the location of the cutout is also investigated.
Starting Page	400
Ending Page	404
Page Count	5
File Format	PDF
ISSN	1615147X
Journal	Structural and Multidisciplinary Optimization
Volume Number	24
Issue Number	5
e-ISSN	16151488
Language	English
Publisher	Springer-Verlag
Publisher Date	2002-11-01
Publisher Place	Berlin Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Computer Graphics and Computer-Aided Design Control and Systems Engineering Computer Science Applications Software

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Optimal location of a cutout in rectangular Mindlin plates for maximum fundamental frequency of vibration