An investigation of non-linear dynamics of multilayered plates accounting for C0z requirements

Computers and Structures

Volumn 69, Issue 4, 1998, Pages 473-486

  Carrera, E ^a   Krause, H ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

COMPOSITE STRUCTURES; FINITE ELEMENT METHOD; INTEGRATION; LAMINATED COMPOSITES; LINEARIZATION; MATHEMATICAL MODELS; SHEAR DEFORMATION; STRUCTURAL ANALYSIS; VIBRATIONS (MECHANICAL);

CLASSICAL LAMINATION THEORY; FIRST-ORDER SHEAR DEFORMATION THEORY; INTERLAMINAR CONTINUITY EFFECTS; NEWMARK TIME-INTEGRATION METHODS; NEWTON-RAPHSON LINEARIZATION; ZIG-ZAG CONTINUITY EFFECTS;

PLATES (STRUCTURAL COMPONENTS);

EID: 0032210091     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(98)00112-6     Document Type: Article

References (47)

1. Pagano JN. Exact solutions for composite laminates in cylindrical bending. J Composite Mat 1969;5:20-34.
2. Carrera E. A class of two dimensional theories for anisotropic multilayered plates analysis. Accademia delle Scienze di torino. Mem. Sci. Fisiche 1995-96;19-20:49-89.
3. Noor AK, Burton WS. Assessment of shear deformation theories for multilayered composite plates. Appl Mech Rev 1989;41:1-12.
4. Kapania RK, Racita S. Recent advances in analysis of laminated beams and plates, part I: shear effects and buckling. Am Inst Aeronaut Astronaut 1989;27:923-34.
5. Gaudenzi P, Barboni R, Mannini A. A finite element evaluation of single-layer and multi-layer theories for the analysis of laminated plates. Composite Struct 1995;30:427-40.
6. Chia CY. Nonlinear analysis of anisotropic plates. New York: McGraw Hill, 1980.
7. Chia CY. Geometrically nonlinear behaviour of composite plates: a review. Appl Mech Rev 1988;41:439-50.
8. Kapania RK, Yang TY. Buckling, postbuckling, and nonlinear vibrations of imperfect plates. Am Inst Aeronaut Astronaut 1987;25:1338-46.
9. Lay Z, Zhou RC, Xue DY, Huang JK, Mei C. Suppression of nonlinear panel flutter at elevate temperature with piezoelectric actuator. In: In: Proceedings of the AIAA/ASME/ASCE/AHS 34rd Structures, Structural Dynamics and Material Conference. La Jolla, CA, 1993:3466-74.
10. Librescu L, Wang MY. Effects of geometric imperfections on vibrations of compressed shear deformable composite curved panels. Acta Mech 1993;97:203-24.
11. Chandiramani NK, Plaut RH, Librescu LI. Non-linear flutter of buckled shear deformable-composite panels in a high-supersonic flow. Int J Non-linear Mech 1995;30:149-67.
12. Nayfeh AH, Blanchandran B. 1995. Applied non linear dynamics. Series in Nonlinear Sciences. New York: Wiley.
13. Ambartsumyan SA. Theory of anisotropic plates. Stanford, CT: Technomic, 1970.
14. Hassert JE, Nowinski JL. Non-Linear transverse vibration of flat rectangular orthotropic plate supported by stiff ribs. In: Proceedings of the Fifth International Symposium on Space Technology and Science. Tokyo, 1962:561-70.
15. Wu CI, Vinson JR. On non-linear oscillations of plates composed of composite materials. J Composite Mater 1969;3:548-61.
16. Whitney JM, Leissa AW. Analysis of heterogeneous anisotropic plates. ASME, J Appl Mech 1969;36:261-66.
17. Bert CW. Nonlinear vibration of rectangular plates arbitrarily laminated of anisotropic material. J Appl Mech 1973;40:452-58.
18. Sathyamoorthy M. Nonlinear vibrations of plates: a review. Shock Vibrations Digest 1983;25:3-16.
19. Sun CT, Chin H. On large defection effects in unsymmetric cross-ply composites laminates. J Composite Mater 1988;22:1045-59.
20. Chandra R, Raju BB. Large amplitude flexural vibrations of crossply laminated composites plates. Fiber Sci Technol 1975;8:243-64.
21. Singh G, Rao GV, Iyengar NGR. Large amplitude free vibration of simply-supported antisymmetric cross-ply plates. Am Inst Aeronaut Astronaut J 1991;29:784-90.
22. Ganapathi M, Varadan TK, Sarma BS. Non-linear flexural vibration of laminated orthotropic plates. Comput Struct 1991;39:685-88.
23. Di S, Ramm E. Hybrid stress formulation for higher order theory of laminated shell analysis. Comput Meth Appl Mech Engng 1993;109:359-76.
24. Di S, Ramm E. Coupling of 2D- and 3D-composite shell elements in linear and nonlinear applications. Comput Meth Appl Mech Engng 1996;129:271-387.
25. Reddy J, Chao WC. Non-linear oscillations of laminated anisotropic rectangular plates. J Appl Mech 1982;49:396-402.
26. 0 finite elements. Comput Struct 1994;50:123-34.
27. Zienkiewicz O. Finite element method. New York: McGraw-Hill, 1990.
28. Hughes TJR. The finite element method. Englewood Cliffs, NJ: Prentice-Hall, 1987.
29. Bathe KJ. Finite element - procedures in engineering analysis. Englewood Cliffs, NJ: Prentice-Hall, 1982.
30. Palazotto AN, Dennis ST. Nonlinear analysis of shell structures. AIAA Series, 1992.
31. Kröplin B, Dinkler D. Stabilitätstheorie. In: Mehlhorn G, editor. Handbuch für Bauingenieure. Berlin: Ernst & Sohn, 1994.
32. 0 Reissner-Mindlin multilayered plate elements including zig-zag and interlaminar stresses continuity. Presented at the Second EUROMECH Colloquium, Genova, 1994. Int J Numer Meth Engng 1996;39:1797-820.
33. 0 Reissner-Mindlin multilayered plate elements including zig-zag and interlaminar stresses continuity. Presented at the Second EUROMECH Colloquium, Genova, 1994. Int J Numer Meth Engng 1996;39:1797-820.
34. Murakami H. Laminated composite plate theory with improved in-plane response. J Appl Mech 1986;53:661-66.
35. Carrera E, Kröplin B. Zig-zag and interlaminar equilibria effects in large deflection and postbuckling analysis of multilayered plates. Mech Composite Mater Struct 1997;4:69-94.
36. Carrera E. An improved Reissner-Mindlin for the electromechanical analysis of multilayered structures including piezo-layers. J Intelligent Mater Systems Struct 1997;8:232-48.
37. Reissner E. Note on the effect of the transverse shear deformation in laminated plates. Comput Meth Appl Mech Engng 1979;20:203-9.
38. Carrera E. Large deflection behavior and incremental strategies in the FEM analysis of composite structures. ISD Bericht, University of Stuttgart, 1992.
39. Carrera E. A study on arc-length-type methods and their operation failures illustrated by a simple model. Comput Struct 1994;50:217-29.
40. Newmark NM. A method of computation for structural dynamics. J Engng Mech Div 1959;85:67-94.
41. Jones RM. Mechanics of composite materials. New York: McGraw-Hill, 1975.
42. Noor AK, Burton WS. Stress and free vibration analysis of multilayered composites plates. Composite Struct 1989;11:183-204.
43. Chai CB, Banks WM, Rhodes J. An experimental study on laminated panels in compression. Composite Struct 1991;19:67-87.
44. Carrera E. On the linear response of assymetrically laminated plates in cylindrical bending. Am Inst Aeronaut Astronaut J 1993;31(7):1353-57.
45. Carrera E, Villonzo M. Large deflections and stability FEM analysis of shear deformable compressed anisotropic flat panels. Composite Struct 1994;29:433-44.
46. Carrera E. Non Linear analysis of shear deformable plates. Int Council Aeronaut Sci 1994;3 (ICAS-94-9-8-2):2964-74.
47. Carrera E, Villonzo M. On the effects of boundary conditions on postbuckling of compressed, symmetrically laminated, thick plates. Am Inst Aeronaut Astronaut J 1995;33:1543-46.