Abstract
Based on the exact three-dimensional equations of continuum mechanics and the Akbarov-Guz' continuum theory, the problem on forced vibrations of a rectangular plate made of a composite material with a periodically curved structure is formulated. The plate is rigidly fixed along the Ox 1 axis. Using the semi-analytic method of finite elements, a numerical procedure is elaborated for investigating this problem. The numerical results on the effect of structural curvings on the stress distribution in the plate under forced vibrations are analyzed. It is shown that the disturbances of the stress σ22 in a hinge-supported plate are greater than in a rigidly fixed one. Also, it is found that the structural curvings considerably affect the stress distribution in plates both under static and dynamic loading.
Similar content being viewed by others
REFERENCES
Yu. M. Tarnopolskii and A. V. Rose, Special Features of the Design of Parts Fabricated from Reinforced Plastics [in Russian], Zinatne, Riga (1969).
A. N. Guz', Fracture Mechanics of Composite Materials in Compression [in Russian], Kiev (1990).
S. D. Akbarov and A. N Guz', “On the continuum theory in mechanics of composite materials with small-scale curved structure,” Prikl. Mekh., 27, No. 2, 3-13 (1991).
S. D. Akbarov, A. N. Guz', and A. D. Zamanov, “Natural vibrations of composite materials with small-scale curved structure,” Prikl. Mekh., 28, No. 12, 24-30 (1992).
A. D. Zamanov, “Natural vibrations of a strip made of a composite material with small-scale curved structure in plane deformation,” Izv. Akad. Nauk Azerb. Mat. Mekh., XVII, Nos. 1-3, 190-198 (1996).
A. D. Zamanov, “Natural vibrations of a rectangular plate made of a composite material with periodically curved structure,” Prikl. Mekh., 35, No. 10, 68-73 (1999).
A. D. Zamanov, “On the stress distribution in a rectangular thick plate of a composite material with curved structure under forced vibration,” Mech. Compos. Mater., 35, No. 4, 301-306 (1999).
A. D. Zamanov, “On the oscillation of a rectangle plate of composite materials with locally curved structures,” Proc. Inst. Math. Mech., Acad. Sci. Azerb., X(XVIII), 234-239 (1999).
A. D. Zamanov, “Natural oscillation of a rigidly fixed rectangular plate fabricated from composite materials with locally curved structures,” Trans. Acad. Sci. Azerb. Phys.-Tech. Math. Sci., 20, 171-175 (2000).
O. C. Zienkiewicz and R. L. Taylor, The Finite Element Method. Vol. 1. Basic Formulation and Linear Problems, 4th Ed., McGrow-Hill (1989).
O. C. Zienkiewicz and R. L. Taylor, The Finite Element Method. Vol. 2. Solid and Fluid Mechanics Dynamics and Non-Linearity, 4th Ed., McGrow-Hill (1991).
N. Yahnioglu, “Three-dimensional analysis of stress fields in plates fabricated from composite materials with small-scale structural curving,” Mech. Compos. Mater., 33, No. 3, 239-245 (1997).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Zamanov, A. The Effect of Structural Curvings on the Stress Distribution in a Rigidly Fixed Composite Plate under Forced Vibration. Mechanics of Composite Materials 38, 41–46 (2002). https://doi.org/10.1023/A:1014056806811
Issue Date:
DOI: https://doi.org/10.1023/A:1014056806811