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

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.

Experimental research on machine elements of helicoidal shell shape

“…Using FEA ANSYS Workbench software with a preprocessor that enables automatic mesh generation for a helicoidal shell on a cylindrical shell, the analyses of Models A, B, and C were performed [16,17,18].…”

“…In addition, the coefficient of friction can be reduced by lubricating and polishing the contact surfaces. The influence of friction in this work can be neglected [14,18].…”

“…Then, it becomes a special case of a rectangular plate attached to the cylindrical shell that is perpendicular to the Oxy plane. On the basis of theoretical analysis [18], three models were chosen for the experimental investigation: 1) The first was for an analysis of the step coils, which can range from 0 to ∞, i.e..: 0≤H≤∞. Model A represents a helicoidal shell stiffly fixed on a cylindrical shell along the helical line with a constant pace of H=140 mm (Fig.…”

“…Conversely, the ordinary Love's constitutive equations were used by S. G. Mikhlin [13] in his work. In a paper [18], they give an original analytical model for the determination of the voltage deformation parameters of helicoidal shells.…”