×
Noor, Ahmed K.; Andersen, Carl M.; Tanner, John A.

Exploiting symmetries in the modeling and analysis of tires. (English) Zbl 0634.73077

Comput. Methods Appl. Mech. Eng. 63, 37-81 (1987).

Cited in 4 Documents

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74E10 Anisotropy in solid mechanics

Keywords:

three basic types of symmetry; tire response; symmetry-breaking conditions; approximation of unsymmetric response; linear combination of symmetric and antisymmetric global approximation vectors; modes; three- field mixed finite element models; operator splitting; Rayleigh-Ritz technique; quasi-symmetric problems; linear analysis of anisotropic tires; semianalytic finite elements; nonlinear analysis of anisotropic tires; two-dimensional shell finite elements; nonlinear analysis of orthotropic tires; unsymmetric loading
Cite Review PDF
Full Text: DOI

References:

[1] (Clark, S. K., Mechanics of pneumatic tires (1981), U.S. Department of Transportation)
[2] (Tanner, J. A., Tire modeling. Tire modeling, NASA CP-2264 (1983))
[3] Noor, A. K.; Tanner, J. A., Advances and trends in the development of computational models for tires, Comput. & Structures, 20, 1-3, 517-533 (1985)
[4] Noor, A. K.; Peters, J. M., Mixed models and reduced selective integration displacement models for vibration analysis of shells, (Atluri, S. N.; Gallagher, R. H.; Zienkiewicz, O. C., Hybrid and Mixed Finite Element Methods (1983), Wiley: Wiley New York), 537-564
[5] Wempner, G.; Talaslidis, D.; Hwang, C., A simple and efficient approximation of shells via finite quadrilateral elements, J. Appl. Mech., 49, 1, 115-120 (1982)
[6] Schaeffer, H. G.; Ball, R. E., Nonlinear deflections of asymmetrically loaded shells of revolution, AIAA Paper No. 68-292 (1968)
[7] Wunderlich, W.; Cramer, H.; Obrecht, H., Application of ring elements in the nonlinear analysis of shells of revolution under nonaxisymmetric loading, Comput. Meths. Appl. Mech. Engrg., 51, 1-3, 259-275 (1985) · Zbl 0567.73083
[8] Noor, A. K.; Camin, R. A., Symmetry considerations for anisotropic shells, Comput. Meths. Appl. Mech. Engrg., 9, 3, 317-335 (1976) · Zbl 0351.73103
[9] Noor, A. K.; Mathers, M. D.; Andersen, M. S., Exploiting symmetries for efficient postbuckling analysis of composite plates, AIAA J., 15, 1, 24-32 (1977)
[10] Noor, A. K.; Peters, J. M., Reduced basis technique for nonlinear analysis of structures, AIAA J., 18, 4, 455-462 (1980)
[11] Noor, A. K., On making large nonlinear problems small, Comput. Meths. Appl. Mech. Engrg., 34, 1-3, 955-985 (1982) · Zbl 0478.65031
[12] Noor, A. K.; Peters, J. M., Recent advances in reduction methods for instability analysis of structures, Comput. & Structures, 16, 1-4, 67-80 (1983) · Zbl 0498.73094
[13] Noor, A. K.; Balch, C. D.; Shibut, M. A., Reduction methods for nonlinear steady-state thermal analysis, Internat. J. Numer. Meths. Engrg., 20, 7, 1323-1348 (1984) · Zbl 0557.65076
[14] Noor, A. K.; Peters, J. M., Model-size reduction technique for the analysis of symmetric anisotropic structures, Engrg. Comput., 2, 4, 285-292 (1985)
[15] Noor, A. K., Reduction method for the nonlinear analysis of symmetric anisotropic panels, Internat. J. Numer. Meths. Engrg., 23, 1329-1341 (1986) · Zbl 0592.73105
[16] Noor, A. K.; Peters, J. M., Nonlinear analysis of anisotropic panels, AIAA J., 24, 9, 1545-1553 (1986) · Zbl 0596.73059
[17] Sanders, J. L., Nonlinear theories for thin shells, Quart. Appl. Math., 21, 1, 21-36 (1963)
[18] Budiansky, B., Notes on nonlinear shell theory, ASME J. Appl. Mech., 35, 2, 393-401 (1968)
[19] Glockner, P. G., Symmetry in structural mechanics, ASCE J. Structural Div., 99, 71-89 (1973)
[20] Hamermesh, M., Group Theory and Its Application to Physical Problems (1962), Addison-Wesley: Addison-Wesley Reading, MA · Zbl 0151.34101
[21] Dong, R. G.; Dong, S. B., Analysis of slightly anisotropic shells, AIAA J., 1, 11, 2565-2569 (1963) · Zbl 0128.18702
[22] Sarkisian, V. S., Some problems of mathematical elasticity theory for anisotropic bodies (1976), Izdatel’stvo Erevanskogo Universiteta: Izdatel’stvo Erevanskogo Universiteta Yerevan · Zbl 0391.73008
[23] Gould, P. L., Finite Element Analysis of Shells of Revolution (1985), Pitman: Pitman London
[24] Noor, A. K.; Andersen, C. M.; Tanner, J. A., Exploiting symmetries in the modeling and analysis of tires, NASA TP-2649 (1987) · Zbl 0634.73077
[25] Noor, A. K.; Andersen, C. M., Mixed models and reduced/selective integration displacement models for nonlinear shell analysis, Internat. J. Numer. Meths. Engrg., 18, 10, 1429-1454 (1982) · Zbl 0526.73088
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.