Browse > Article
http://dx.doi.org/10.5050/KSNVN.2005.15.4.474

Thermoelastic and Dynamic Analysis of Functionally Graded Rectangular Plates  

Kim Young-wann (여수대학교 공과대학 기계공학과)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.15, no.4, 2005 , pp. 474-482 More about this Journal
Abstract
A theoretical method is presented to investigate the thermoelastic and dynamic response of functionally graded material (FGM) rectangular plates made up of metal and ceramic. The temperature is assumed to be constant in the plane of the plate and to vary in the thickness direction only. Material properties are assumed to be temperature-dependant, and vary continuously through the thickness according to a power law distribution in terms of the volume fraction of the constituents. The third order shear deformation theory (TSDT) to account for rotary inertia and transverse shear strains is adopted to formulate the theoretical model. The modal analysis technique is used to develop the analytic solutions of the dynamic problem. The effect of material compositions and temperature fields is examined. The present theoretical results are verified by comparing with those from finite element analysis by ANSYS.
Keywords
FGM; Volume Fraction; Thenoelastic Response; Dynamic Response; TSDT; Modal Analysis Technique;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Kim, Y. -W., 2005, 'Temperature Dependent Vibration Analysis of Functionally Graded Rectangular Plates,' Journal of Sound and Vibration, In Press
2 Almajid, A., Taya, M. and Hudunut, S., 2001. 'Analysis of Out-of-plane Displacement and Stress Field in a Piezocomposite Plate with Functionally Graded Microstructure,' Int. Journal of Solids and Structures, Vol. 38, pp. 3377-3391   DOI   ScienceOn
3 Yang, J. and Shen, H.S., 2001, 'Dynamic Response of Initially Stressed Functionally Graded Rectangular Thin Plates,' Composite Structures, Vol. 54, pp. 497-508   DOI   ScienceOn
4 Ootao, Y. and Tanigawa, Y., 2000, 'Three-dimensional Transient Piezothermoelasticity in Functionally Graded Rectangular Plate Bonded to a Piezoelectric Plate,' Int. Journal of Solids and Structures, Vol. 37, pp. 4377- 4401   DOI   ScienceOn
5 Ng, T. Y., Lam, K. Y. and Liew, K. M., 2000, 'Effects of FGM Materials on the Parametric Resonance of Plate Structures,' Computer Methods in Applied Mechanics & Engineering, Vol. 190, pp. 953-962   DOI   ScienceOn
6 Reddy, J. N. and Cheng. Z. -Q., 2001, 'Three-dimensional Thermomechanical Deformations of Functionally Graded Rectangular Plates,' Eropean Journal of Mechanics-A/Solids, Vol. 20, pp. 841-855   DOI   ScienceOn
7 Croce, L. D. and Venini, P., 2004, 'Finite Elements for Functionally Graded Reissner-Mindlin Plates,' Computational Method in Applied Mechanical Engineering, Vol. 193, pp. 705-725   DOI   ScienceOn
8 Yang, J. and Shen, H. S., 2002, 'Vibration Characteristics and Transient Response of Shear-deformable Functionally Graded Plates in Thermal Environments,' Journal of Sound and Vibration, Vol. 255, pp. 579-602   DOI   ScienceOn
9 SASI, 2000, 'ANSYS User's Manual,' Swanson Analysis System Inc., Houston
10 Praveen, G. N. and Reddy, J. N., 1998, 'Nonlinear Transient Thermoelastic Analysis of Functionally Graded Ceramic-metal Plates,' Int. Journal of Solids and Structures, Vol. 35, pp. 4457-4476   DOI   ScienceOn
11 Woo, J. and Meguid, S. A., 2001, 'Nonlinear Analysis of Functionally Graded Plates and Shallow Shells,' Int. Journal of Solids and Structures, Vol. 38, pp. 7409-7421   DOI   ScienceOn
12 Shen, H. S., 2002, 'Nonlinear Bending Response of Functionally Graded Plates Subjected to Transverse Loads and in Thermal Environments,' Int. Journal of Mechanical Sciences, Vol. 44, pp. 561-584   DOI   ScienceOn
13 He, X. Q., Ng, T. Y., Sivashanker, S. and Liew, K. M., 2001, 'Active Control of FGM Plates with Integrated Piezoelectric Sensors and Actuators,' Int. Journal of Solids and Structures, Vol. 38, pp. 1641-1655   DOI   ScienceOn