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Abstract: Dynamic
analysis of hub-beam system with a tip mass is investigated, where the
beam is a flexible one. Firstly, by the Hamilton theory and using the
finite element method for discretization, the rigid-flexible coupling
dynamic model (i.e. the first-order approach coupling model) which takes
the second-order coupling quantity of axial displacement caused by
transverse displacement of the beam into account is presented. The
corresponding dynamic model in non-inertia system (i.e. the zero-order
approach coupling model) is presented as well. Then dynamic
characteristics of the hub-beam system are studied through numerical
simulations. Simulation results demonstrate that small tips mass may
affect dynamic characteristics of the system. The tip mass may result in
the largening of beam response and the falling of response frequency of
the beam, and may affect the terminal positions of the beam and the hub
as well. The effect of the tip mass becomes large along with the
increasing of angular velocity of the large motion of the system. Even
the angular velocity of the large motion is small, the traditional
hybrid coordinate model may lead to big error. When the regular velocity
of the large motion is large, there possibly exists failure in using the
traditional zero-order approach model.
Key
words: Flexible
cantilever beam Tip mass Hybrid coordinate model First-order approach
coupling model
CLC No: O313
O316
国家自然科学基金(10472065)和上海市自然科学基金(03ZR14062)资助项目.
Received 20040210, received in revised form 20020040810
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