Mathematical Model

  • Iosif VulfsonEmail author
Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)


Composition of the systems of differential equations (the so-called mathematical models) is one of the most important steps of any dynamic analysis. Here is presented some information about analytical mechanics that are taken into account . Composition of differential equations for drives with cyclic mechanisms has the following features: nonlinear constraints, implemented in mechanisms; special form of the second-kind Lagrange equations with redundant coordinates; generation of Appell’s differential equations for holonomic systems; generation of differential equations by using the inverse method.


Quadratic Form Virtual Displacement Cyclic Mechanism Holonomic System Input Link 
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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.St. PetersburgRussia

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