The mathematical models and generalized variational principles of nonlinear analysis for perforated thin plates

Applied Mathematics and Mechanics (English Edition)

Volumn 17, Issue 2, 1996, Pages 109-118

  Changjun, Cheng ^a   Xiao, Yang ^a  

^a LANZHOU UNIVERSITY   (China)

Author keywords

Generalized variational principle; Mathematical model; Non linear analysis; Perforated thin plate

Indexed keywords

BENDING (DEFORMATION); BOUNDARY VALUE PROBLEMS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; VARIATIONAL TECHNIQUES;

GENERALIZED VARIATIONAL PRINCIPLE; PERFORATED PLATE;

PLATES (STRUCTURAL COMPONENTS);

EID: 0030085760     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00122305     Document Type: Article

References (13)

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2. Zhu Zhengyou and Cheng Changjun, General mathematical theory of large deflections of thin plates with some holes, Acta Mechanica Sinica, 2, 3 (1986), 278-288.
3. Cheng Changjun and Lü Xiaoan, General mathematical theory of large deflections of thin plates with some holes (continued), Acta Mechanica Sinica, 21, 2 (1989), 193-203. (in Chinese)
4. Cheng Changjun and Zhu Zhengyou, Buckling and Bifurcation of Structures, Lanzhou University Press, Lanzhou (1991). (in Chinese)
5. Cheng Changjun and Zhu Zhengyou, The buckled states of annular plates, Scientia Sinica (Series A), 19, 9 (1986), 956-965.
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7. Cheng Changjun and A. J. M. Spencer, Non-axisymmetric instability of polar orthotropic annular plates, J. Eng. Math., 23 (1989), 29-51.
8. Cheng Changjun and Lü Xiaoan, Buckling and post-buckling of annular plates in shearing (I): Buckling and (II): Post-buckling, Com. Methods Appl. Mech. Eng., 92, 2 (1991), 157-172, 173-191.
9. Lü Xiaoan, The nonlinear theory and stability analysis of perforated cylinder shell, Dr-Eng.-thesis, Lanzhou University, Lanzhou (1990). (in Chinese)
10. He Luwu, Bifurcation and buckling of sandwich plates, Dr.-Eng.-thesis , Lanzhou University, Lanzhou (1990). (in Chinese)
11. Cheng Changjun and Yang Xiao, The existence of buckled states on a perforated thin plate, Appl. Math, and Mech. (English Ed.), 13, 8 (1992), 725-736.
12. Yang Xiao and Cheng Changjun, Variational principles on perforated thin plates and finite element method of buckling and post-buckling analysis, Acta Mechanica Sinica, 7, 2 (1991), 1-10.
13. Chien Weizang, Variational Principles and Finite Element Methods, Academic Press, Beijing (1980). (in Chinese)