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Abstract:
Coupling
terms of elastic general coordinates are employed to describe a
deformation field of a flexible body in order to obtain the consistent
linearization dynamic model of flexible mechanical systems. Nonlinear
strain-displacement relations of the flexible body are introduced to
determine new mode functions, and an approximate linear relation between
general deformation coordinates and strains of the body is obtained. So
the strain energy of the flexible body can be given by using the
conventional linear strain-displacement relation. The nonlinear terms of
deformation coordinates in kinematic analysis can be linearized until
partial velocities and partial angular ones, are given. A consistent
linearization dynamic model of the systems is developed by using Kane’s
equation. Dynamic responses of a flexible beam in a quick return,
mechanism are studied by using the model. Simulating results show that
the behaviors of the beam are unstable at the certain angular velocities
of the rigid crank, and an interesting periodic pattern is observed for
some cases.
Key words:
Flexible
mechanical system Rigid-flexible coupling Dynamics
CLC No: O313.3 TH113
国家自然科学基金和国家航天863高技术发展计划基金资助项目. Received 20001106,
received in revised form 20010316
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