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3. Microsuspensions 137
Solution:
The procedure followed previously for the non-inclined beam-spring also
applies here, but in addition to calculating the unknown bending moment
the reaction force as sketched in Fig. 3.6 (b), needs to be calculated in
the beginning.
Because both the rotation and the displacement are zero, these two
conditions will provide the equations to solve for and They can be
expressed in terms of and therefore the displacement can now be
determined such that the sought stiffness is expressed as:
Figure 3.6 Inclined beam spring: (a) accelerometer configuration; (b) Geometry, loads and
reactions
where:
and:
By taking in Eq. (3.15), (3.16) and (3.17), Eqs. (3.6) and (3.7) are
retrieved, as expected. Equation (3.15) can also be expressed in terms of
