NDLI: Effect of aspect ratio on large amplitude free vibrations of simply supported and clamped rectangular Mindlin plates using coupled displacement field method

Content Provider	Springer Nature Link
Author	KrishnaBhaskar, K. MeeraSaheb, K.
Copyright Year	2017
Abstract	We propose a novel method, known as Coupled displacement field (CDF) method, an alternative to study large amplitude free vibration behavior of moderately thick rectangular plates. An admissible trial function was assumed for one of the variables, say, the total rotations (in both X, Y directions). The function for lateral displacement field is derived in terms of the total rotations with the help of coupling equations, where the two independent variables become dependent on one another. This method makes use of the energy formulation, where it contains only half the number of undetermined coefficients when compared with conventional Rayleigh-Ritz method. The vibration problem is simplified significantly due to the reduction in number of undetermined coefficients. The frequency-amplitude relationship for the moderately thick rectangular plates with various aspect ratios for all edges simply supported and clamped boundary conditions was obtained. Closed form expressions for linear and nonlinear fundamental frequency parameters were derived.
Starting Page	2093
Ending Page	2103
Page Count	11
File Format	PDF
ISSN	1738494X
Journal	Journal of Mechanical Science and Technology
Volume Number	31
Issue Number	5
e-ISSN	19763824
Language	English
Publisher	Korean Society of Mechanical Engineers
Publisher Date	2017-05-20
Publisher Place	Seoul
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Coupled displacement field Coupling equation Large amplitude vibrations Moderately thick plates Mechanical Engineering Vibration, Dynamical Systems, Control Industrial and Production Engineering
Content Type	Text
Resource Type	Article
Subject	Mechanics of Materials Mechanical Engineering

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