About the Bending Calculus for Circular Tapping Plates, Embedded at the Interior Circumference, with Uniform Load at all the Crown by Transfer-Matrix Method

Abstract:

This article presents the bending calculus of the circular tapping plates, embedded at the interior circumference, free at the exterior circumference, charged with an uniform vertical load at the all the crown, using the Transfer-Matrix Method. This method had the mathematical bases in the theory of Diracs and Heavisides functions and operators. The circular plates calculus is very important for its applications in the mechanical, robotic, medical, military and aerospace industries. First, we can obtain the state vector for the first ring, the exterior circumferential element and the state vector for the latest ring, the interior circumferential element. After, we can calculate for the values r₀

• Periodical: Applied Mechanics and Materials (Volumes 325-326)
• Pages: 218-222
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.325-326.218
• Online since: June 2013
• Authors: Mihaela Suciu
• Keywords: Circular Tapping Plate, Circumferential Vertical Load, Dirac's Function, Heaviside's Function, State Vector, Transfer-Matrix

References

[1] M. Gery, and J.-A. Calgaro. Les Matrices-Transfert dans le calcul des structures. Editions Eyrolles, Paris, 1973.

[2] M. Tripa. Rezistenta Materialelor. E. D. P. Bucuresti, 1967.

[3] C. Y. Warren. ROARK`S Formulas for Stress & Strain, 6-th edition, McGraw Hill Book Company, 1989.