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  • On the nullity of homogeneous linearized kinematic and equilibrium equations of a system of supported and connected rigid bodies [Elektronski vir]
    Flajs, Rado, gradbeništvo
    This paper deals with homogeneous linearized kinematic equations and the equilibrium equations of systems of supported and connected rigid bodies, the type of which were encountered during the ... undergraduate course of statics within the first year of the study of Civil Engineering at the University of Ljubljana. In the paper the very fundamental relation "nullity(A) = nullity(BT)" is proven using the well-known virtual work principle. Here, matrices A and B denote the matrix of the homogeneous linearized kinematic equations and the matrix of the equilibrium equations, respectively. Since the well-known equilibrium equations urn:x-wiley:16177061:media:PAMM201900220:pamm201900220-math-0001 could potentially lack a physical interpretation, a new proof for a smaller set of the equilibrium equations, preferable in practical and pedagogical sense is presented.
    Vir: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), November 2019 [Elektronski vir] (Vol. 19, iss. 6. jun., 2019, Str. 1-2)
    Vrsta gradiva - prispevek na konferenci ; neleposlovje za odrasle
    Leto - 2019
    Jezik - angleški
    COBISS.SI-ID - 60072963

    Povezava(-e):

    https://onlinelibrary.wiley.com/doi/10.1002/pamm.201900220
    DOI

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