Kinematic Closed-Form Solution of “Four-Bar Link-Gear Slider Crank (FbLg-ISC-3RP-Type II) Mechanism. Crank Driven/Crossed

This Guide to Virtual Models of Plane Mechanisms (AdP) includes the activities that were necessary to complete in order to obtain the Symbolic Solution of the Kinematics of the Mechanism whose name appears in its title, selected from Prof. Artobolevsky's Compendium, some of which may be can be done by following the videos accessible on the corporate platform of the University to which the author belongs as a teacher, and which are part of the content of subjects whose Asynchronous "On-line" Guides have previously published. Basically, there are five types of activities. A First Type, Type I, aims to create a virtual model of the selected mechanism, from virtual components (designed by the author) in the CAD SolidWorks environment. A Second Type, Type II, aims to create a “Self-Aligned” kinematic model of the considered mechanism, using the tools available in the CAE SolidWorks Motion (v2007) environment, together with Table 1.1 of Prof. Reshetov's book. To then carry out a kinematic simulation, checking the curve traced by the corresponding point of the selected mechanism. In the Third Type, Type III, the Mathematica application called MechanicalSystems™, which we call "Mechanica", is used to create a numerical kinematic model of the selected plane mechanism, following an original procedure by the author, based on the information generated in the two previous activities; and the results are compared with those obtained in the CAE SolidWorks Motion (v2007) environment. The Fourth Type, Type IV, has as objective the creation of a symbolic kinematic model in the Mathematica environment, taking advantage of the available tools, starting from the previous model created using the MechanicalSystems™ application, following, again, an original procedure of the author, comparing the symbolic results obtained with the previous numerical ones. Finally, in the Fifth Type, Type V, following, again, an original procedure by the author, we proceed to generate an interactive Mathematica CDF document, with which it will be possible to interact with the considered mechanism, observing its movement and checking the curve that generates a point from one of its elements. Sometimes, not all types of activities have video recordings showing how the author carried them out at the time. However, of all those related to Mathematica, the content of the NB file or files that it was necessary to create to complete the corresponding activity is provided. Additionally, for some models, we include a Sixth Type, Type VI, not documented on video, in which the results of the application of the algorithm developed by the author in the Mathematica environment for the Automatic Symbolic Solution of Nonlinear Algebraic Equations that govern the Kinematics of the Mechanism under Euler's hypothesis are presented.

In this Guide you can find links to download the documents related to the Virtual Model of Plane Mechanism referred to in this Guide: (1) The NB document containing the Symbolic Solution of the Kinematics of the mechanism, including images indicating the selected parameters and the generalized coordinates whose symbolic solution is provided as a function of the independent generalized coordinate associated with its degree of freedom; and (2) The latest version of the CDF document that complements the original description of the mechanism in Prof. Artobolevsky's Compendium, and that allows it to be manipulated in motion.