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The plane supporting spring commonly referred as flexural spring is used in isolation instruments such as astronautics, aeronautics, auto industries, micro-stereolithography and bulk lithography. All the applications require significant amount of radial stiffness which is used for isolation and providing friction-less motion. The proposed paper is targeted to derive a forced-based mathematical model for evaluating radial stiffness provided by the plane support spring. The springs are mounted in the flexural mechanism assembled in spindle head body clamped on micro drilling machine tool. The numerical equation for computing the radial stiffness is evaluated on the basis of solving various force components and the radial displacement generated by of each spring/arm using the “force–energy method.” The finite element solution is done in ANSYS, whereas the theoretical answers are solved using PTC-MATHCAD solution. The results obtained by numerical analysis done in MATHCAD are validated by the finite element solution. The relationship between the radial stiffness and the key geometrical parameters are analyzed and confirmed.

mechanics based design of structures and machines

Radial stiffness computation of single Archimedes spiral plane supporting spring loaded in flexural mechanism mounted in spindle head of micro drilling machine tool