Group-theoretic vibration analysis of double-layer cable nets of D4h symmetry. (30th November 2019)

• Record Type: Journal Article
• Authors: Zingoni, Alphose
• Is Part Of: International journal of solids and structures. Volume 176/177(2019)
• Page Start: 68
• Page End: 85
• Publication Date: 2019-11-30
• Subjects: Cable net -- Vibration -- Symmetry -- Group theory -- Eigenvalue problem -- Mode shape; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2019.05.020
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: Shallow cable nets may be coupled into multi-layer configurations that are stiffer and stronger than single-layer configurations. In a previous study, group theory was used to investigate double-layer cable nets of D4h symmetry by reference to a 32-node case study, revealing key insights on their vibration characteristics. In this paper, and as an extension of the previous work, we present a rigorous group-theoretic formulation for the computation of natural frequencies and mode shapes of double-layer cable nets of D4h symmetry, by reference to the same case study. The analysis reveals the existence of transverse-extension modes that are unique to coupled cable-net configurations, at the same time demonstrating the substantial computational benefits of the group-theoretic procedure. A numerical example is considered in order to illustrate how the eigenvalues and eigenmodes of the problem are actually calculated, providing further insights on the vibration behaviour of the cable net.