EAN: 9783844084283

SOME IMPROVEMENTS ON THE TRANSFER MATRIX METHOD...

The multibody system transfer matrix method is a rather novel modeling method developed over
recent 28 years. It has gained great attention and been used widely to solve about 150 kinds of
various engineering problems with some advantages over classical dynamics methods  such as low
matrix order independent of degree-of-freedom  high computational speed  and high
programmability. To further improve the multibody system transfer matrix method w.r.t. these
features is one of the main research contents of the national key project of the Chinese
government. In the book  several forms of transfer equations and transfer matrices of a
multi-input rigid body  a multi-hinge subsystem  subsystems composed of both  and various
hinges are deduced for the newest version of the multibody system transfer matrix method using
different strategies. Based on the results  four automatic deduction principles of the overall
transfer equation are stated  enriching the multibody system transfer matrix method and its
transfer matrix library. Especially a reduced transfer matrix method based on Riccati relations
is deduced using both ordinary element transfer matrices and decoupled hinge equations for
chain  closed-loop  tree and general systems  respectively. The boundary conditions of the
system are always strictly satisfied during the entire computational process. As a result  the
truncation and accumulation errors are reduced and the computational stability is improved
compared with the classical version of multibody system transfer matrix method  while
computational speed is the same as for the new version of the multibody system transfer matrix
method.

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