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The mechanisms of one degree of freedom can be dynamically analysed by setting out a single differential equation of motion which variable is the generalized coordinate selected as independent. In front of the use of a set of generalized dependent coordinates to describe the system, the method exposed in this work has the advantage of working with a single variable but leads to complex analytical expressions for the coefficients of the differential equation, even in simple mechanisms. The theoretical approach, in this paper, is developed from Eksergian's method and Lagrange's equations. The equation of motion is written by means of a set of parameters - reduced parameters - that characterize the dynamic behaviour of the system. These parameters are function of the independent coordinate chosen and its derivative and can be obtained numerically by direct calculus or by means of a kinetostatic analysis, as is proposed. Two cases of study of the method are presented. The first example shows the study of pedalling a stationary bicycle used in a rehabilitation process. The second one shows the analysis of a single dwell bar mechanism which is driven by an electric motor. [ABSTRACT FROM AUTHOR]

In the computer analysis of mechanisms it is usual to choose the actuators that drive them in terms of the ease with which they can be introduced into the definition of the system rather than in terms of describing the reality. Once the force of the replacement actuator used has been obtained, that of the real actuator must be determined and some of the calculated constraint forces differ from the real ones. This work studies the situation described in the inverse dynamic analysis of mechanisms of 1-DOF. It will show how to obtain the force of the real actuator from the force of the actuator used in the simulation process, and proposes the use of auxiliary mechanisms which aid in the description of the real actuators. It also provides criteria for determining which constraint forces obtained in the simulation process with the replacement actuator are different to the real ones. [ABSTRACT FROM AUTHOR]