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A new method for generating virtual models of nonlinear helical springs based on a rigorous mathematical model

Michalczyk Krzysztof, Warzecha Mariusz, Baran Robert

Applied Computer Science

2023

Vol. 19, no 2

96--111

This paper presents a new method for generating nonlinear helical spring geometries based on a rigorous mathematical formulation. The model was developed for two scenarios for modifying a spring with a stepped helix angle: for a fixed helix angle of the active coils and for a fixed overall height of the spring. It allows the development of compression spring geometries with non-linear load-deflection curves, while maintaining predetermined values of selected geometrical parameters, such as the number of passive and active coils and the total height or helix angle of the linear segment of the active coils. Based on the proposed models, Python scripts were developed that can be implemented in any CAD software offering scripting capabilities or equipped with Application Programming Interfaces. Examples of scripts that use the developed model to generate the geometry of selected springs are presented. FEM analyses of quasi-static compression tests carried out for these spring models showed that springs with a wide range of variation in static load-deflection curves, including progressive springs with a high degree of nonlinearity in characteristics, can be obtained using the proposed tools. The obtained load-deflection curves can be described with a high degree of accuracy by power function. The proposed method can find applications in both machine design and spring manufacturing.

Aplikacja internetowa do projektowania naciskowych sprężyn stożkowych

Sileikis W.

Przegląd Mechaniczny

2006

nr 4

34-37

W artykule zaprezentowano praktyczne zastosowania sprężyn kształtowych oraz przedstawiono aplikację internetową do projektowania naciskowych sprężyn stożkowych o stałym skoku. Umożliwia ona obliczenie wszystkich podstawowych parametrów konstrukcyjnych sprężyn stożkowych.

In the paper practical use of shaped springs and web application for designing conical compression springs with constant pitch are presented. This appplication calculates all basic design parameters related to the conical compression springs.