ABSTRACT
This chapter considers the application of bending and torsion of solid elements within the linear elastic range as a means of providing precise short-range motions. An initial analysis of basic beam bending sets the scene for a discussion of the general points in favour of and against elastic design. Linear mechanisms are then discussed in some detail. One degree of freedom motions based on leaf spring and notch hinge mechanisms of increasing symmetry are examined. A briefer treatment of angular motion flexures suffices. Finally an overview of the dynamical performance of linear mechanisms serves to show both that general approaches may be readily applied and that only specific solutions are worth pursuing. Case studies examine the use of monolithic linear spring mechanisms in very precise instrument applications.
