VIBRATION CHARACTERISTICS AND TRANSIENT RESPONSE OF SHEAR-DEFORMABLE FUNCTIONALLY GRADED PLATES IN THERMAL ENVIRONMENTS
✍ Scribed by J. YANG; H.-S. SHEN
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 349 KB
- Volume
- 255
- Category
- Article
- ISSN
- 0022-460X
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✦ Synopsis
Free and forced vibration analyses for initially stressed functionally graded plates in thermal environment are presented. Material properties are assumed to be temperature dependent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. Theoretical formulations are based on Reddy's higher order shear deformation plate theory and include the thermal e!ects due to uniform temperature variation. The plate is assumed to be clamped on two opposite edges with the remaining two others either free, simply supported or clamped. One-dimensional di!erential quadrature technique, Galerkin approach, and the modal superposition method are used to determine the transient response of the plate subjected to lateral dynamic loads. Comprehensive numerical results for silicon nitride/stainless-steel rectangular plates are presented in dimensionless tabular and graphical forms. The roles played by the constituent volume fraction index, temperature rise, shape and duration of dynamic loads, initial membrane stresses as well as the character of boundary conditions are studied. The results reveal that, when thermal e!ects are considered, functionally graded plates with material properties intermediate to those of isotropic ones do not necessarily have intermediate natural frequencies and dynamic responses. 2002 Elseiver Science Ltd. All rights reserved. *F *y ! *F *x # * V *x # * V *y ! *= *x # *= *y #( 2 ! 2 ) ¹ dx dy, (30a) W "! 1 *F *x ! *F *y # * V *x # * V *y ! *= *x # *= *y #( 2 ! 2 ) ¹ dx dy. (30b)