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Papers by Keyword: Heaviside's Function

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

Authors: Mihaela Suciu

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

218

Bending Study for Axially Symmetric Tapping Plates with Uniform Load at All Crown by Transfer-Matrix Method

Authors: Mihaela Suciu

Abstract: This paper presents a study of the axially symmetric plates, charged with uniform load by Transfer-Matrix Method. The analytical calculus is based of the theory of Dirac’s and Heaviside’s functions and operators. That is an important possibility to result the circular plates, with the opportunity to program the calculus to obtain the eight elements of the exterior circumference state vector and for the interior circumference state vector of a tapping plate. After, we can calculate for all the values r0

Study of Circular Tapping Plates, with a Circumferential Vertical Load at the Interior Boundary by Transfer-Matrix Method

Authors: Mihaela Suciu

Abstract: The work presents a calculus of the circular tapping plates, embedded at the exterior circumference, charged with a concentrated circumferential vertical load at the interior circumference, using the Transfer-Matrix Method. The approach is based of the theory of Dirac’s and Heaviside’s functions and operators. The circular plate’s calculus is important for a lot of industry domains, including the robotics too. We can obtain the two state vectors: for the first ring-the exterior circumferential element and for the latest ring-the interior circumferential element. We can calculate after, for the values r0

155

About the Study of the Springs Loaded with Uniform Radial Charge Density by Transfer-Matrix Method

Authors: Mihaela Suciu

Abstract: The spring studies are very important for a lot of industry domains. We find the classical spring’s calculus in [2]. With the Transfer-Matrix Method, we can write the basic equations of the spring's theory with Dirac's and Heaviside's functions and operators and so we can calculate the six elements of the origin state vector. We have deducted the general expression for the Transfer-Matrix of a round spring, with an application for a spring embedded at its tow edges with uniform radial charge density. After, we can calculate, in all spring sections, the state vectors. We have studied a circular spring with a constant inertia and we have kept the sign conventions-as well as to the beams-for the internal efforts, for the displacements and for the exterior loads.