A non-iterative method and application on design planar six-bar mechanisms with an approximate equal velocity ratio transmission

A non-iterative design method on an approximate equal velocity ratio transmission mechanism is presented. The mathematical principle is that a compound function produced by two basic functions, let its one order differential is equal to a constant at special point, and then two to three order derivatives of the compound function are all zeroes, thus two algebraic equations are got, their solutions define a mechanism dimensions. This a principle not only sets up a new design method on approximate equal velocity ratio mechanisms but output displacement is independently designed. A design example shows that this method is simpler and transmission characteristics are better than optimization method.