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An Approach to Derivative Causality in Bond Graph Models of Mechanical Systems by Dean Karnopp is a scholarly article available to read on EtoBox.

What is An Approach to Derivative Causality in Bond Graph Models of Mechanical Systems about?

Dynamic system models involving rigidly coupled inertia elements often result in derivative causality problems when represented in bond graph form. This means that explicit state equations can only be obtained after algebraic manipulation. The problem is particularly severe when geometric nonlinearities are invohed as represented by displacement moduIated transformers. A practical solution is to eliminate the derivative causality by defining an Iheld or an K-field using generalized momenta and (if necessary) generalized coordinates as is done when applying Lagrange's or Hamilton's equations. The inversion of a mass matrix is required. In the worst case, the inversion may have to be done repeatedly during a computer simulation.

Author

Dean Karnopp

Publisher

Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0016-0032)

Published

1992

Language

EN