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Master Thesis - OUFTI-1

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• Other components, including thermostats, heaters and thermal insulator, are less<br />

important and do not aect signicantly the global dynamic behavior of the support.<br />

So, they will be ignored in this model.<br />

At this level, the precise acceleration at which the support is submitted, is not known<br />

(because a model of the entire satellite is not available). In addition, the boundary conditions<br />

can not be determined exactly. So, it was decided to follow a conservative approach<br />

using the following approximations:<br />

• The connections with the endless screws are supposed to be perfectly rigid in the 3<br />

spatial directions. This approximation is pretty good because the spacers between<br />

the electronic cards and the support can be considered as extremely rigid in their<br />

longitudinal axis. In addition, the endless screws, which are xed at each of their<br />

extremities, can also be considered as rigid xations. However, for the rotational<br />

Degrees of Freedom (DoF), there is a certain exibility, due to the little set between<br />

the screws and the support's holes, that can not be measured accurately without<br />

having a complete engineering model of the satellite. So, these ones are let free,<br />

which lead to an overestimation of the structural deections and an underestimation<br />

of the natural frequencies.<br />

• The acceleration applied to the support is not known. However, a known value is the<br />

maximal acceleration of the launcher along its longitudinal axis, which is the more<br />

constraining one and rates 6.3 g. So, using a SF of 2, this acceleration reaches a<br />

value of 12.6 g that will be applied to our model.<br />

The results obtained are presented in Figure 3.24. It can be directly noted that the<br />

maximum Von Mises stress inside the support is situated, as predicted before, at the level<br />

of the legs. However, even with our approximations and the conservative approach applied<br />

here, the value of this stress (1.53 MP a) is strongly lower than the yield stress of the<br />

Al − 7075 T 6, which has a value of 444.5 MP a.<br />

66

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