A NEW METHOD FOR GENERATING VIRTUAL MODELS OF NONLINEAR HELICAL SPRINGS BASED ON A RIGOROUS MATHEMATICAL MODEL
Krzysztof Michalczyk
kmichal@agh.edu.plAGH University of Science and Technology (Poland)
https://orcid.org/0000-0002-1024-5947
Mariusz Warzecha
AGH University of Science and Technology (Poland)
https://orcid.org/0000-0002-7417-1561
Robert Baran
AGH University of Science and Technology (Poland)
https://orcid.org/0000-0002-0711-230X
Abstract
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 have shown that, using the proposed tools, springs with a wide range of variation in static load-deflection curves can be obtained, including progressive springs with a high degree of nonlinearity in the characteristics. 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.
Supporting Agencies
Keywords:
helical spring, spring design, spring stiffness, load-deflection curve, spring geometryReferences
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Authors
Krzysztof Michalczykkmichal@agh.edu.pl
AGH University of Science and Technology Poland
https://orcid.org/0000-0002-1024-5947
Authors
Mariusz WarzechaAGH University of Science and Technology Poland
https://orcid.org/0000-0002-7417-1561
Authors
Robert BaranAGH University of Science and Technology Poland
https://orcid.org/0000-0002-0711-230X
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