Abstract
This paper describes the “vector-network” method for creating mathematical models of dynamic mechanical systems. The vector-network method is a combination of vector dynamics and some concepts of graph theory; it serves as the basis for a “self-formulating” computer program which can simulate the response of a dynamic system, given only the system description. The vector-network method also permits us to observe a useful but little-known “principle of orthogonality” which is an extension of Tellegen’s theorem for electrical networks, discovered in 1952. Many basic dynamic concepts, such as the principle of virtual work and the instantaneous balance of power, are special cases of this principle.
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© 1978 Springer-Verlag, Berlin/Heidelberg
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Andrews, G.C., Kesavan, H.K. (1978). Simulation of Multibody Systems Using the Vector-Network Model. In: Magnus, K. (eds) Dynamics of Multibody Systems. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-86461-2_1
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DOI: https://doi.org/10.1007/978-3-642-86461-2_1
Publisher Name: Springer, Berlin, Heidelberg
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