The tolerance averaging model of dynamic stability of thin plates with one-directional periodic structure

Thin-Walled Structures

Volumn 45, Issue 10-11, 2007, Pages 855-860

  Jedrysiak, J ^a  

^a LODZ UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Dynamic stability; The effect of the period lengths; Thin periodic plate

Indexed keywords

FITS AND TOLERANCES; MATHEMATICAL MODELS; PERIODIC STRUCTURES;

PERIOD LENGTHS; THIN PERIODIC PLATE; TOLERANCE AVERAGING;

PLATES (STRUCTURAL COMPONENTS);

EID: 36048988674     PISSN: 02638231     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tws.2007.08.006     Document Type: Article

References (12)

1. Je{ogonek}drysiak J. Dispersive models of thin periodic plates. Theory and applications. Sci. Bul. Łódź Tech. Univ. No. 872, series: Sci Trans 289, Łódź 2001 [in Polish].
2. Caillerie D. Thin elastic and periodic plates. Math Methods Appl Sci 6 (1984) 159-191
3. Kohn R.V., and Vogelius M. A new model for thin plates with rapidly varying thickness. Int J Solids Struct 20 (1984) 333-350
4. Woźniak C, Wierzbicki E. Averaging techniques in thermomechanics of composite solids. Poland: Cze{ogonek}stochowa University of Technology; 2000.
5. Je{ogonek}drysiak J. On stability of thin periodic plates. Eur J Mech A/Solids 19 (2000) 487-502
6. Je{ogonek}drysiak J. The length-scale effect in the buckling of thin periodic plates resting on a periodic Winkler foundation. Meccanica 38 4 (2003) 435-451
7. Michalak B. Stability of elastic slightly wrinkled plates. Acta Mech 130 (1998) 111-119
8. Tomczyk B. On the modelling of thin uniperiodic cylindrical shells. J Theor Appl Mech 41 (2003) 755-774
9. Baron E. On dynamic stability of an uniperiodic medium thickness plate band. J Theor Appl Mech 41 2 (2003) 305-321
10. Je{ogonek}drysiak J. Application of the tolerance averaging method to analysis of dynamic stability of thin periodic plates. J Theor Appl Mech 42 2 (2004) 357-379
11. Timoshenko S., and Gere J. Theory of elastic stability (1961), McGraw-Hill, New York
12. Kaliski S., editor. Vibrations. Warsaw: PWN; Amsterdam: Elsevier; 1992.