Abstract
Investigation of buckling under tension is highly important from theoretical and practical viewpoints to ensure safety and the proper performance of mechanical systems. In the present work, tensile buckling is investigated experimentally, and the critical force is measured in systems where one end of an elastic tensile rod slides along a straight guide, while the other slides along a curve. An experimental setup is proposed and developed for determining the critical tensile load of the elastic rod by a dynamic method. This setup allows measuring free vibrations and frequency with the required accuracy. Improvement of the critical load accuracy is achieved by approaching the maximum load to the critical one. Limitations in selecting the test parameters are found according to the required extrapolation accuracy of the dominant natural vibration frequency dependence on tensile load. Theoretical analysis and tests are performed for the rod connection schemes pinned–rigid, rigid–pinned, and rigid–rigid, considering imperfections in the fixation of the rod ends. It is experimentally shown that the system buckling at tensile load is possible and that experimental and theoretical values of the critical load are in good agreement. The achieved accuracy, estimated by the discrepancy between the calculated and the experimental values, is 2.1–3.5%.
Highlights
IntroductionPublisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations
Tensile buckling is studied for elastic rods [1,2], elastomeric bearings [3], which lose stability due to shear deformation, bars with sliding connections [4] installed in separate sections, allowing elastic transverse movement in the beam sections
The experimental values of Ncre are given only for cases in which the maximal tensile force is at least 60% of the calculated critical value
Summary
Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. To plan the experiment and define the parameters limits that can be used for extrapolation, dependence between the squared natural vibration frequency and tensile load was theoretically investigated in the present study, considering the lumped mass of the sliding mechanism at the rod end. That was aimed at an experimental investigation of buckling in systems including a tensile rod with an end sliding along a circular guide, the following problems are solved: finding a dependence of the natural vibration frequency of the rod with a mass at the end that moves along a curved guide on the tensile force; finding a range of the rod parameters in the form of L/R (L—rod length, R—radius of curvature), allowing a linear extrapolation to obtain the buckling load, using squared frequencies; Sci. 2021, 11, x FOR PEER REVIEW.
Sign-in/Register to view highlights & summary 
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call