Analysis of machine elements in shape of helicoidal shell on cylindrical shell

• Published in: Proceedings of the Institution of Mechanical Engineers. Part C, Journal of mechanical engineering science Vol. 221; no. 6; pp. 627 - 638
• Main Authors: Savicevic, S, Zekovic, S
• Format: Journal Article
• Language: English
• Published: London, England SAGE Publications 01.06.2007; SAGE PUBLICATIONS, INC
• Subjects: Automation; Bending; Boundary conditions; Criteria; Cross-sections; Cylindrical shells; Differential equations; Finite difference method; Geometry; Machinery; Mathematical models; Matlab; Mechanical engineering; Shells; Strength; Stress concentration; helicoidal shell; cylindrical shell; bending; differential equation of equilibrium
• ISSN: 0954-4062; 2041-2983
• DOI: 10.1243/0954406JMES481

Abstract A procedure for the automated determination of the geometric parameters of a helicoidal shell on a cylindrical one that is applied to machines for special purposes is presented in this paper. A differential equation for the bending of a helicoidal shell subjected to a uniform pressure and a differential equation for the cylindrical shell loaded by a uniformly distributed moment along the helix are used to define the boundary conditions along the cross-section of these shells. The finite difference method is used to solve the differential equation for the bending of a helicoidal shell in MATLAB software. The values of the shell thickness are determined for different parameters using a strength criterion. Different models of the helicoidal shell are analysed.