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102 Chapter 2
3.2.3 Right Elliptic Microhinge
For a right elliptic microhinge, as the one pictured in Fig. 2.25 (b), the
variable width is defined as:
The stiffness equations related to the main bending axis are quite complex,
and therefore the compliance equations that describe the same bending are
given here, after being calculated by means of Castigliano’s displacement
theorem. They are:
The torsional stiffness is:
The axial stiffness is:
The length l is equal to 2a in Eqs. (2.130) to (2.134), as shown in Fig. 2.25
(b).
Equation (2.134) also serves at determining the corresponding axial
compliance by simple inversion, so that the compliance of Eq. (2.132)
