Page 158 - Mechanics of Microelectromechanical Systems
P. 158
3. Microsuspensions 145
Example 3.5
Analyze the change in the main compliance of a U-spring when the axial
deformations are also taken into account. Consider that the three legs have
identical constant rectangular cross-sections.
Solution:
In the case where the axial deformations are considered, the strain energy
will include terms induced by the axial effects, in addition to bending-
produced ones, but the procedure of calculating the main compliance,
remains the same. For a constant rectangular cross-section, the ratio of the
bending-related compliance to the compliance that considers both bending
and axial effects becomes:
Figure 3.13 Compliance ratio in terms of and
Figure 3.14 Compliance ratio in terms of w and