Analysis of Friction, Spring and Wedging action

In this educational academic paper we will derive the equations of motion for a wedge in contact by friction with spherical object. This object is connected to a spring. We will approach the problem with Newtonian mechanics and compare this result with a Lagrangian approach and we will show that they with some restriction leads to the same result. The results from the equations of motion will be dicussed. The equations will then be numerically simulated for a number of different cases and the results will be analyzed.

Content

Author and article information

Journal

Title: ScienceOpen Preprints

Publisher: ScienceOpen

Publication date (Electronic preprint): 20 February 2021

Affiliations

[1 ] No affiliation

Author information

Bo-Göran Wallner https://orcid.org/0000-0002-7713-4475

Article

DOI: 10.14293/S2199-1006.1.SOR-.PPXEO6V.v3

SO-VID: be737d1d-7ad1-412c-9877-237018345fe2

License:

This work has been published open access under Creative Commons Attribution License CC BY 4.0 , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com .

History

Date received : 24 January 2021

Data availability: The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.

ScienceOpen disciplines: Mechanical engineering