Compliance Model and Structure Optimization Method Based on Genetic Algorithm for Flexure Hinge Based on X-Lattice Structure

Table 1

The elements in the coordinate transformation matrix.

j Element	①	②	③	④	⑤	⑥
cos^j (x′, x)	Cos α	Cos α	Cos α	Cos α	1	1
cos^j (x′, y)	0	0	0	0	0	0
cos^j (x′, z)	Sin α	−Sin α	Sin α	–Sin α	0	0
cos^j (y′, x)	0	0	0	0	0	0
cos^j (y′, y)	1	1	1	1	1	1
cos^j (y′, z)	0	0	0	0	0	0
cos^j (z′, x)	−Sin α	Sin α	−Sin α	Sin α	0	0
cos^j (z′, y)	0	0	0	0	0	0
cos^j (z′, z)	Cos α	Cos α	Cos α	Cos α	1	1