Design and optimization of a general planar zero free length spring

Design and optimization of a general planar zero free length spring

Delissen, A.A.T.M. (TU Delft Computational Design and Mechanics)
Radaelli, G. (TU Delft Mechatronic Systems Design)
Herder, J.L. (TU Delft Mechatronic Systems Design)

2017

A zero free length (ZFL) spring is a spring with special properties, which is commonly used in static balancing. Existing methods to create ZFL springs all have their specific drawbacks, which rises to the need of a new method to create such a spring. A method is proposed to design planar ZFL springs with specified stiffness (250–750 N/m) within a certain range (up to 20 mm of displacement). Geometric non-linearities of a curved leaf spring are exploited by changing its shape. The shape is determined by a non-linear least squares algorithm, minimizing the force residuals from a non-linear numerical analysis. Constraints are introduced to help in preventing the spring from intersecting itself during deformation. For three types of springs with different boundary conditions, designs are found with characteristic shapes and maximum force errors less than 1%. A trend is observed between spring size, maximum stress and desired stiffness. New type of ZFL springs can now be designed, which can not only be used in existing applications, but also enables the use of ZFL springs in micro mechanisms.

Curved flexure
Desired force-displacement
Ideal spring
Null-length spring
Shape optimization
Zero free length spring

http://resolver.tudelft.nl/uuid:61707111-8d78-448d-b502-71a7c66b9887

https://doi.org/10.1016/j.mechmachtheory.2017.07.002

2019-07-11

0094-114X

Mechanism and Machine Theory, 117, 56-77

Accepted Author Manuscript

Institutional Repository

journal article

© 2017 A.A.T.M. Delissen, G. Radaelli, J.L. Herder