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fem modelling of a bellows and a bellows- based micromanipulator

fem modelling of a bellows and a bellows- based micromanipulator

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FEM <strong>modelling</strong> <strong>of</strong> a <strong>bellows</strong> <strong>and</strong> a <strong>bellows</strong>-<strong>based</strong> <strong>micromanipulator</strong>IV. OutlookThe next example proves that the model is consistent with its expected behaviour. A verticalload F = 100 [mN] – equivalent to a platform mass <strong>of</strong> 10 grams, for instance – is applied <strong>and</strong>look at the platform y-displacement.The movement is magnified, so that its correct appearance can be inspected. But the result isin fact very small, since it is about 1.05·10 -5 [µm]. There are no measurement at this time tosupport the correctness <strong>of</strong> that assumption, but the <strong>micromanipulator</strong> should effectively bevery inflexible in the y-direction, since the <strong>bellows</strong> are filled with incompressible oil.It can also be noted that the <strong>micromanipulator</strong> behaves in a very symmetric way. The beampart with the same colour on the plot sustain the same removal. So as can be seen, each<strong>bellows</strong> seems to undergo an identical compression.4.3 PerspectivesThis chapter showed one way to use results <strong>of</strong> chapter 3. The construction <strong>of</strong> our model wasexplained step by step. At each level, it was checked if the intermediate results were suitable.Hence, the model should be able to furnish all necessary data to complete the kinematicmodel <strong>of</strong> the <strong>micromanipulator</strong>.But there are many ways to construct a beam-<strong>based</strong> model. One could for instance stackseveral beam-elements for each <strong>of</strong> the <strong>bellows</strong>, as suggested by ANSYS ® ' VerificationManual. The solid region may be a very simple way to model it, but the platform can as well41

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