Plane Spiral Spring under Uniform Rotation About Its Arbor

摘要

Under the assumption of the inextensibility of the spring element a solution is obtained based on the energy principle by considering the bending energy only. When special cases are taken, it is shown that this solution yields results which agree with the known results. As any specific solution will depend on the given shape of the spiral, a procedure to obtain the specific solution for any given spiral shape is outlined in this report. In addition, a specific solution to an assumed spiral shape of common usage is also presented. This may serve as an approximation to the problem of other but not too different spiral shapes. (Author)