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Online proceedings - EDA Publishing Association

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The FEM model allowed calculating the structural<br />

stiffness, as well as the accuracy of kinematics. An<br />

optimization work was done by changing the configuration,<br />

length, and width of the different parts of the grippers. The<br />

results of all analysis can be seen in Table 5. To select the<br />

material, bio-compatibility of the gripper was taken into<br />

account. After performing a comprehensive survey in the<br />

literature, the SU-8 polymeric material was selected because<br />

of its properties, which are particularly suitable for cell<br />

manipulation devices. For the FEM simulations, the<br />

following properties of SU-8 were considered: coefficient of<br />

thermal expansion α = 52x10 -6 K -1 , Young’s modulus E =<br />

4.02 GPa, Poisson’s ratio ν = 0.22 and ultimate tensile stress<br />

of 34 MPa.<br />

Since in all microgrippers previously proposed in the<br />

literature, due to angular motion of the jaws, the gripping<br />

planes at the tip of the tweezers do not remain parallel<br />

during cell manipulation (see Table 2), in this study an<br />

attempt was performed to change this strategy, by leading to<br />

surround a cell and keep it within the room defined by the<br />

gripper tips, in closed configuration. Furthermore, by<br />

increasing the contact area of the cell and gripper tip, this<br />

approach causes less stress on the cells membrane during<br />

gripping. Above all, a single mask layer is enough to<br />

fabricate this layout and there is no need to dope any kind of<br />

metal on substrates and use several mask layers in<br />

fabrication process that is usual in all thermal actuators.<br />

The first configuration in Table 1 is our first idea to<br />

achieve the above mentioned goals. One upper and one<br />

lower arm which are connected together with some inclined<br />

connecting parts compose this simple configuration. The<br />

upper arm is fixed and the lower arm is attached to an<br />

external actuator. In this configuration the most important<br />

problem was the y-direction movement of the upper arm of<br />

the gripper due to its bending. Figure 1 shows the deformed<br />

and undeformed shape and also stress distribution of this<br />

layout. The results of all analyses can be seen in Table 5. By<br />

applying 20 µm displacement to the lower arm in FEM<br />

simulation, more than 100 µm displacement in y direction<br />

occurred. To solve this problem a wider upper arm and<br />

longer connecting parts were used in second proposed<br />

configuration. Moreover, the inclined connectors were<br />

changed to vertical position in order to increase the<br />

movement in direction of x in comparison to y and to<br />

decrease the amount of force required by the lower arm. To<br />

keep the gripper tip dimensions proper for the considered<br />

cell size (35 µm) the shape of the tip was changed<br />

accordingly (Fig. 2).<br />

As can be seen in Table 5 these modifications did not<br />

solve the problem. Still were found about 20 µm of<br />

displacement along y direction when displacement was<br />

equal along direction x. Even though the second<br />

configuration decreased the movement along y direction in<br />

comparison to the first layout, long connecting parts<br />

increased the dimension of whole gripper structure. The<br />

next idea to solve these difficulties is shown in Fig. 3. An<br />

additional arm was joined to the structure. Displacement in<br />

11-13 <br />

May 2011, Aix-en-Provence, France<br />

<br />

FEM simulation was induced on the upper arm while the<br />

lower two arms were fixed. This improvement allowed<br />

finding good results in terms of stress and opening range of<br />

the gripper tip. As it can be seen in Fig. 3 length of the<br />

upper arm can be a problem for the microfabrication,<br />

because of its compliance. This effect can be seen in Fig. 3,<br />

since a significant deflection of the upper arm occurred after<br />

applying displacement. To solve this final problem the<br />

upper arm was supported by another structure to prevent its<br />

deflection. Figure 4 shows the final configuration. In this<br />

layout a large opening at the gripper tips occurs if only 10<br />

µm of displacement are applied (half of the first two<br />

layouts). As can be seen in Table 5, the most opening range<br />

with minimum stress can be achieved by this layout.<br />

Furthermore, the least stiffness is related to this<br />

configuration while the width of the gripper does not exceed<br />

140 µm.<br />

Fig. 1. First configuration, left: deformed and undeformed shape,<br />

right: stress analysis<br />

Fig. 2. Second configuration, left: deformed and undeformed shape,<br />

right: stress analysis<br />

Fig. 3. Third configuration, left: deformed and undeformed shape,<br />

right: stress analysis<br />

Fig. 4. Fourth configuration, left: deformed and undeformed shape,<br />

right: stress analysis<br />

359

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