SOLUTIONS FOR COMBINING ROTATIONS INTO ONE VERIFIED
ACTUAL MECHANISM PROPOSED
Shuh Jing Ying
University of South Florida
Tampa, Florida, USA
Combining two rotations into one is described in detail in the book of
Advanced Dynamics by Shuh Jing Ying. The solutions are available, the combined
motion will rotate about the new axis along the unit vector of n and with angular
displacement, however they are not verified. This is a very important subject.
It is good to have the solutions verified. In fact the repeated use of the
combination of two rotations into one will actually combine many rotations into
one. Consequently it saves time in the process of a missile shooting a missile in
the middle air. In this paper the solutions are substituted back into the original
equation so they are verified. The process is tedious and will be presented in the
conference. The magnitude of n is checked to be unit as expected. In addition
actual mechanism also is proposed in this paper, so the information given will
relate the theoretical equation to practical application.
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