About the Study of the Springs Loaded with Uniform Radial Charge Density by Transfer-Matrix Method
|Periodical||Advanced Materials Research (Volumes 463 - 464)|
|Main Theme||Advanced Materials Research II|
|Edited by||Wu Fan|
|Citation||Mihaela Suciu, 2012, Advanced Materials Research, 463-464, 3|
|Online since||February, 2012|
|Keywords||Dirac's Function, Heaviside's Function, Spring, Transfer Matrix Method, Uniform Radial Charge Density|
The spring studies are very important for a lot of industry domains. We find the classical spring’s calculus in . 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.