Abstract
In many sorts of electronic devices the cantilever leaf springs are widely used, to switch the contact points. In designing such a spring, it is necessary to have an accurate knowledge cncerning to the force-deflection relationship. The large deflection of a cantilever spring has been studied for a long time. And the solution of the deflection is obtained in the form of elliptic integrals. A practical formula is necessary for the practical designing of the spring, for it takes a long time to solve the elliptic integrals numerically.
In this paper, firstly, a modulus of the elliptic integrals is derived as a function of a load by introducing thereversion formula. Secondary, the co-ordinates of the loaded point are represented by elliptic functions. Then, the deflections at a loaded point are obtained as a power series of a load.
Similarly, the deflection angle at the loaded point and the practical formula of a deflection curve, in the state of large deflection, is also obtained from the exact solution.
