MAPLE Data for Exact shell solutions for conical springs. II. Radial cylindric curb

Published: 9 January 2023| Version 1 | DOI: 10.17632/295pd6trtb.1
Vladimir Kobelev


In the current data, we examine the disk spring using the models of thin and moderately thick isotropic shells with the constant thickness of the material. The calculation of the disk springs investigates the free gliding edges and the edges with the constrained radial movement. The variation formulations are used for derivation of load-displacement formulas for the disk springs with different constraints on radial travel at the inner and outer surfaces. The kinematic hypothesis is used for the shell models of conical shells. The motivating feature of the presented theory is its possibility to calculate the disk springs of with free gliding edges and the edges with the constrained radial movement. The equations developed here are based on common assumptions and are suitable for the disk springs made of isotropic materials, as spring steel and light metal alloys. The developed formulas are recommended for the industrial calculations of free and restricted disk springs and Belleville washers. For the development the CAS MAPLE 2020 was applied. For this program the source code of the derivation of the closed form solutions is provided (File: "teller-shell74.maple") The comparison of the analytical formulas with the results of numerical optimization is presented in EXCEL file "TELLER t=2 Ri=45 Re=55.xlsx" . The source codes of ANSYS calculation are provided in the additional data upload of the same author


Steps to reproduce

1) The CAS Maple 2020.2 or above are necessary for the execution of the data. 2) The EXCEL file is readable by the EXCEL program Microsoft Office Professional Plus 2016 (Version 2211)


Universitat Siegen Department Maschinenbau


Computer Algebra System, Machinery