Vibration analysis of the planar flexible mechanism using the redundant generalized coordinates
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Rationale of the study
In order to save the amount of needed materials, to reduce the inertia
and to speed up the work, the bars of a machine structure can be slimmer
and more compact. However, vibrations usually occur when the machines
work, especially at high speeds, or when speeding up or down due to the
decreased stiffness of the slender sections which are not large enough.
These vibrations reduce the precision of the high-precision requirements,
which delays the successive operations of the machine because of the
existing vibration for a certain period of time. Moreover, it also makes the
substantial reaction force on joints. Therefore, the elasticity of the bars
should be considered when studying the mechanics of the machine.
Objectives of the thesis
The thesis will focus on studying the dynamic behavior of a planar
mechanism which has one or more elastic bars, such as calculating the
elastic deformation of the links, and assessing the effect of the deformation
back on the movement of the structure during the work. The ultimate goal
is to help minimize the negative impact of the elastic vibrations as well as
limiting the elastic vibrations.
Object and scope of the study
The thesis will focus on studying planar elastic mechanisms,
performing numerical simulations and surveying the responds to a number
of specific planar structural models such as the four – bar mechanism, six –
bar mechani