Vibratory power convertor systems

A brief description of the underlying principles involved in vibratory power convertor systems is given, and then formulae are derived for use in system analysis and design. These consist of expressions which enable the compliance forces and effective masses of two different arrangements of conventional systems to be determined under all conditions throughout the cycle of vibration, and equations which govern the performance of the systems. Included are equations giving the deflection at which vibrating contacts open, and their optimum position along the reed has been determined. The characteristics of the systems are examined in a general analysis, and more specific details are discussed in a particular design. In a number of instances, simplification of the formulae has been undertaken and these are presented graphically. They apply as well to non-conventional systems such as single-contact transformer-vibrators or multi-contact vibrator mechanisms. The formulae are not directly limited by power considerations or by a range in dimensions for normal degrees of vibration, but they are confined in their use to systems embodying reeds of uniform rectangular cross-section. Information regarding reeds of variable cross-section is given in an Appendix.