Nipping analysis of a two-leaf spring strengthened by an additional full-length leaf

Nipping analysis of a rectangular two-leaf spring strengthened by an additional full-length leaf is presented. Closed form expressions are derived for the initial gaps between the leaves which make the maximum stresses in all the leaves within the clamped cross-section of the loaded spring equal to...

Full description

Saved in:
Bibliographic Details
Main Authors: Lubarda Vlado A., Lubarda Marko V.
Format: Article
Language:English
Published: Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade 2025-01-01
Series:Theoretical and Applied Mechanics
Subjects:
Online Access:https://doiserbia.nb.rs/img/doi/1450-5584/2025/1450-55842500007L.pdf
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1849396167579795456
author Lubarda Vlado A.
Lubarda Marko V.
author_facet Lubarda Vlado A.
Lubarda Marko V.
author_sort Lubarda Vlado A.
collection DOAJ
description Nipping analysis of a rectangular two-leaf spring strengthened by an additional full-length leaf is presented. Closed form expressions are derived for the initial gaps between the leaves which make the maximum stresses in all the leaves within the clamped cross-section of the loaded spring equal to each other. The derived expressions are general in the sense that they apply for any values of the introduced leaf-length and thickness parameters. Two initial gaps between the pairs of consecutive leaves are needed to achieve the desired stress reduction. The required gaps can be either positive or negative, depending on the values of introduced spring parameters. For some combination of length and thickness parameters, nipping is not an effective means of stress reduction. There is a particular combination of parameters for which the maximum stresses in all critical cross-sections of leaves become equal to each other. The presented analysis and obtained results may be useful for multi-leaf spring design and related optimization studies.
format Article
id doaj-art-e01fc4902069451d9779f62bfd7691f1
institution Kabale University
issn 1450-5584
2406-0925
language English
publishDate 2025-01-01
publisher Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade
record_format Article
series Theoretical and Applied Mechanics
spelling doaj-art-e01fc4902069451d9779f62bfd7691f12025-08-20T03:39:25ZengSerbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, BelgradeTheoretical and Applied Mechanics1450-55842406-09252025-01-015218710710.2298/TAM241225007L1450-55842500007LNipping analysis of a two-leaf spring strengthened by an additional full-length leafLubarda Vlado A.0https://orcid.org/0000-0002-0474-6681Lubarda Marko V.1https://orcid.org/0000-0002-3755-271XDepartment of Chemical and Nano Engineering, University of California, San Diego, La Jolla, California, USADepartment of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, California, USANipping analysis of a rectangular two-leaf spring strengthened by an additional full-length leaf is presented. Closed form expressions are derived for the initial gaps between the leaves which make the maximum stresses in all the leaves within the clamped cross-section of the loaded spring equal to each other. The derived expressions are general in the sense that they apply for any values of the introduced leaf-length and thickness parameters. Two initial gaps between the pairs of consecutive leaves are needed to achieve the desired stress reduction. The required gaps can be either positive or negative, depending on the values of introduced spring parameters. For some combination of length and thickness parameters, nipping is not an effective means of stress reduction. There is a particular combination of parameters for which the maximum stresses in all critical cross-sections of leaves become equal to each other. The presented analysis and obtained results may be useful for multi-leaf spring design and related optimization studies.https://doiserbia.nb.rs/img/doi/1450-5584/2025/1450-55842500007L.pdfcontact forcecurvaturegapleaf springmaximum stressnippingspring constant
spellingShingle Lubarda Vlado A.
Lubarda Marko V.
Nipping analysis of a two-leaf spring strengthened by an additional full-length leaf
Theoretical and Applied Mechanics
contact force
curvature
gap
leaf spring
maximum stress
nipping
spring constant
title Nipping analysis of a two-leaf spring strengthened by an additional full-length leaf
title_full Nipping analysis of a two-leaf spring strengthened by an additional full-length leaf
title_fullStr Nipping analysis of a two-leaf spring strengthened by an additional full-length leaf
title_full_unstemmed Nipping analysis of a two-leaf spring strengthened by an additional full-length leaf
title_short Nipping analysis of a two-leaf spring strengthened by an additional full-length leaf
title_sort nipping analysis of a two leaf spring strengthened by an additional full length leaf
topic contact force
curvature
gap
leaf spring
maximum stress
nipping
spring constant
url https://doiserbia.nb.rs/img/doi/1450-5584/2025/1450-55842500007L.pdf
work_keys_str_mv AT lubardavladoa nippinganalysisofatwoleafspringstrengthenedbyanadditionalfulllengthleaf
AT lubardamarkov nippinganalysisofatwoleafspringstrengthenedbyanadditionalfulllengthleaf