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Chapter 4. Analysis of Basic Flexure Building Blocks
Based on the results obtained for simple beams in the previous chapter, we next proceed to analyze some
other common flexure units that are based on the beam flexure. Since, the spatial variables x and y do not
show up in the rest of this thesis, for the sake of convenience we shall use the symbols x and y, instead of
x and y, to denote the nondimensionalized end displacements in all subsequent discussions.
4.1 Parallelogram Flexure
The parallelogram flexure is a very common flexure unit that is frequently employed to provide
approximate straight line motion. Some of the earliest work on the parasitic deflections of a parallelogram
flexure was done by Jones [1], and has been referenced in subsequent texts [2,7]. Despite the fact that the
parallelogram flexure has been thoroughly studied, we shall take another close look at it to understand the
nonlinearities in its forcedisplacement characteristics.
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