Group-theoretic insights on the vibration of symmetric structures in engineering

DOI10.1098/rsta.2012.0037zbMath1353.74037OpenAlexW2079416122WikidataQ37410719 ScholiaQ37410719MaRDI QIDQ2955597

Alphose Zingoni

Publication date: 13 January 2017

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.2012.0037

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Crystalline structure (74E15)

Related Items (8)

Mathematical modeling for dynamic stability of sandwich beam with variable mechanical properties of core ⋮ Symmetry aspects in stability investigations for thin membranes ⋮ Computational stability investigations for a highly symmetric system: the pressurized spherical membrane ⋮ Graph transformations for efficient structural analysis ⋮ The role of symmetry in the post-buckling behaviour of structures ⋮ Stability analysis of alternating wave solution in a Stuart-Landau system with time delay ⋮ Group-theoretic exploitations of symmetry in computational solid and structural mechanics ⋮ Constrained stability of conservative static equilibrium

Cites Work

• Bifurcation hierarchy of symmetric structures
• Symmetry-adapted equilibrium matrices
• Detection of finite mechanisms in symmetric structures
• A natural classification of vibration modes of polygonal ducts based on group theoretic analysis
• The Computation of Symmetry-Breaking Bifurcation Points
• Group-theoretic exploitations of symmetry in computational solid and structural mechanics
• Exact block diagonalization of large eigenvalue problems for structures with symmetry

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