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Direct determination of periodic solutions of the dynamical equations of flexible mechanisms and manipulators
Author(s) -
Meijaard J. P.
Publication year - 1991
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620320811
Subject(s) - double pendulum , pendulum , kinematics , duffing equation , slider , continuation , basis (linear algebra) , dynamical systems theory , mathematics , multibody system , mathematical analysis , control theory (sociology) , computer science , classical mechanics , inverted pendulum , nonlinear system , engineering , physics , geometry , mechanical engineering , control (management) , quantum mechanics , artificial intelligence , programming language
A method based on finite elements, characterized by generalized strains as functions of the nodal co‐ordinates, is the basis for the computer program SPACAR for the kinematic and dynamic analysis of flexible multibody systems. This program allows also the evaluation of the linearized dynamical equations, which makes possible the implementation of a method for the direct determination of stationary and periodic solutions and of a continuation method for these solutions if some parameter is varied. As an illustration, these methods are applied to a Duffing equation, a double pendulum and a slider‐crank mechanism with an elastic connecting rod.