Dynamic modelling of thin plate made of certain functionally graded materials

Meccanica

Volumn 47, Issue 6, 2012, Pages 1487-1498

  Michalak, B ^a   Wirowski, A ^a  

^a LODZ UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Composite plate; Dynamic; Functionally graded material; Modeling

Indexed keywords

ANNULAR PLATE; COMPOSITE PLATES; DYNAMIC BEHAVIOURS; DYNAMIC MODELLING; HOMOGENEOUS COMPONENTS; MACROSCOPIC PROPERTIES; MICRO-HETEROGENEOUS; THERMO-MECHANICS; THIN PLATE;

BEAMS AND GIRDERS; DYNAMICS; FUNCTIONALLY GRADED MATERIALS; MATHEMATICAL MODELS; MODELS; NATURAL FREQUENCIES;

PLATES (STRUCTURAL COMPONENTS);

EID: 84861918110     PISSN: 00256455     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11012-011-9532-z     Document Type: Article

References (24)

1. Baron E (2003) On dynamic behaviour of medium thickness plates with uniperiodic structure. Arch Appl Mech 73:505-516
2. Batra RC, Jin J (2005) Natural frequencies of a functionally graded rectangular plate. J Sound Vib 282:509-516 (Pubitemid 40583903)
3. Chen CS, Chen TJ, Chien RD (2006) Nonlinear vibration of initially stressed functionally graded plates. Thin-Walled Struct 44:844-851 (Pubitemid 44646701)
4. Dell'Isola F, Rosa L,Wózniak Cz (1997) Dynamic of solids with micro-periodic non connected fluid inclusions. Arch Appl Mech 67:215-228 (Pubitemid 127608065)
5. Gupta AK, Kumar L (2008) Thermal effect on vibration of non-homogeneous visco-elastic rectangular plate of linearly varying thickness. Meccanica 43:47-54 (Pubitemid 351231624)
6. Jikov VV, Kozlov CM, Oleinik OA (1994) Homogenization of differential operators and integral functionals. Springer, Heidelberg
7. Jědrysiak J (2003) Free vibrations of thin periodic plates interacting with an elastic periodic foundation. Int J Mech Sci 45:1411-1420
8. Jědrysiak J, Wózniak C (2009) Elastic shallow shells with functionally graded structure. PAMM 9:357-358
9. Malezadeh P, Golbahar Haghighi MR, Atashi MM (2010) Free vibration analysis of elastically supported functionally graded annular plates subjected to thermal environment. Meccanica. doi:10.1007/s11012-010-9345-5
10. Matysiak SJ, Nagórko W (1995) On the wave propagation in periodically laminated composites. Bull Acad Pol Sci, Sér Sci Tech 43:1-12
11. Michalak B (2000) Vibrations of plates with initial geometrical periodical imperfections interacting with a periodic elastic foundation. Arch Appl Mech 70:508-518
12. Michalak B, Wózniak C, Wózniak M (1996) The dynamic modelling of elastic wavy plates. Arch Appl Mech 66:177-186 (Pubitemid 126576141)
13. Michalak B,Wózniak C,WózniakM(2007) Modelling and analysis of certain functionally graded heat conductor. Arch Appl Mech 77:823-834 (Pubitemid 47389479)
14. Oradögen E, Küçükarslan S, Sofiyev A, Omurtag MH (2010) Finite element analysis of functionally graded plates for coupling effect of extension and bending. Meccanica 45:63-72
15. Qian LF, Batra RC (2005) Design of bidirectional functionally graded plate for optimal natural frequencies. J Sound Vib 280:415-424
16. Prakash T, Ganapathi M (2006) Asymmetric flexural vibration and thermoelastic stability of FGM circular plates using finite element method. Composites Part B 37:642-649 (Pubitemid 44128904)
17. Rychlewska J, Wózniak Cz (2006) Boundary layer phenomena in elastodynamics of functionally graded laminates. Arch Mech 58:1-14
18. Suresh S, Mortensen A (1998) Fundamentals of functionally graded materials. Cambridge University Press, Cambridge
19. Tomczyk B (2007) A non-Asymptotic model for the stability analysis of thin biperiodic cylindrical shells. Thin- Walled Struct 45:941-944 (Pubitemid 350102742)
20. Tornabene F, Viola E (2009) Free vibration analysis of functionally graded panels and shells of revolution. Meccanica 44:255-281
21. Tylikowski A (2005) Dynamic stability of functionally graded plate under in-plane compression. Math Probl Eng 4:411-424 (Pubitemid 43120986)
22. You LH, Wang JX, Tang BP (2009) Deformations and stresses in annular disks made of functionally graded materials subjected to internal and/or external pressure. Meccanica 44:283-292
23. Wierzbicki E, Wózniak C (2000) On the dynamic behaviour of honeycomb based composite solids. Acta Mech 141:161-172
24. Wózniak C, Michalak B, Jědrysiak J (eds) (2008) Thermomechanics of microheterogeneous solids and structures. Wydawnictwo Politechniki Lódzkiej, Lódź