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Symmetry Measure of Truss Structures with Disturbed Higher-order Symmetries

Author(s):

Medium: journal article
Language(s): English
Published in: Periodica Polytechnica Civil Engineering, , n. 3, v. 68
Page(s): 903-911
DOI: 10.3311/ppci.24542
Abstract:

This paper covers aspects of quantifying the symmetry of two- and three-dimensional elastic bar-and-joint structures. The concept of symmetry as a quantitative property instead of a binary question of 'yes' or 'no' is widely accepted and thoroughly investigated, for example, in molecular physics but also in engineering sciences, mainly in chemical engineering. Similarly to most of the articles written on this topic, our method is also based on the comparison of specific metrics of the analyzed structure and a reference one, i.e., which possesses the desired (perfect) symmetry. The deviation of the analyzed (imperfect) structure from the reference structure is quantified by one scalar. The novelty in our approach is that we consider not just the relative position of the nodes but also the normal stiffness of the truss members, even for structures with higher-order, i.e., polyhedral symmetries. For both geometric and material properties to be accounted for, the eigenvalues of the stiffness matrix were chosen as metrics. The difficulty lies in finding the reference structure which will be carried out based on energy principles.

Structurae cannot make the full text of this publication available at this time. The full text can be accessed through the publisher via the DOI: 10.3311/ppci.24542.
  • About this
    data sheet
  • Reference-ID
    10789030
  • Published on:
    20/06/2024
  • Last updated on:
    20/06/2024
 
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