No abstract

The potential energy storage capabilities of linear springs are integrated with the nonlinear motion of mechanisms to provide approximation of desired counter-loading functions. The approximating function is required to be identical to the desired function at a number of precision points. The work is directly analogous to the algebraic form of kinematic synthesis, thus enabling an immediate conceptual grasp by those already familiar with kinematics.

The analytical formulation from a companion paper is extended to allow the concept of multiply separated positions to be applied to the spring-energy problem. A major change in perspective for mechanisms is accomplished by the ability to presume that the mechanism pre-exists. Heretofore it has always been necessary to deal with mechanisms on a positional basis where higher-order motion could not be considered without also including the location of the mechanism. The set of analytics applied to springs is not affected by ignoring positional information. Utilization of the mechanism-spring system in the proposed manner creates a dynamic tool for the enhancement of machine operations.

No abstract

The dynamic synthesis procedures of Part I are reinforced by qualitative and quantitative results from analysis. The principal concern is for the motion distortion which results from off-speed operation and from errors in the model parameters. Elementary direct means for calculating errors due to transient vibrations and inertia force variations are given which eliminate the need for complex analysis procedures. Rules of thumb are developed which enable the designer to choose system parameters to minimize motion distortion and inhibit growth of wear and consequent noise.