print barcode image c# GEOMETRY OF PLANAR CAM PROFILES in Software

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GEOMETRY OF PLANAR CAM PROFILES
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The synthesis and design of cam mechanisms can be eased by using the capabilities offered by CAD packages Extensive CAD software is commercially available, with new packages and new features appearing every year Among these features, we can mention the plotting of functions, the rotation and translation of planar rigid gures, and the determination of intersections of lines, curves, and surfaces This function is important, because to start with the design process we assume that the displacement program of the follower is given as a smooth, explicit function of the input variable so that its derivative is available If only a discrete set of points is speci ed for the functions needed in the synthesis procedures, an interpolation is needed, which can be implemented by using software packages as well A representative list of commercial packages is given below AUTOCAD: Comprehensive package for mechanical design and geometric analysis Runs mostly on Windows Old versions run also on Unix Vendor: Autodesk, Inc Its Web site is: http://infoautodeskcom/ VERSACAD: Basically a production-level CAD software However, the 3DJoy module is a modeler that offers high-powered spline-based modeling Also, the Rhino module can create, edit, analyze, and translate NURBS, surfaces, and solids Runs on Windows Vendor: Archway Systems, Inc Web site: http://wwwversacadcom/ Other pertinent CAD software packages have more advanced features in terms of solid modeling, assembly, and motion animation, eg, PRO/ENGINEER: Comprehensive package for mechanical design and analysis at large Its PRO/MECHANICA module provides motion analysis, simulation, and animation of fairly complex mechanisms Runs on Windows and Unix Vendor: Parametric Technology, Inc Web site is: http://wwwptccom/ CATIA: This software package has advanced features that can be used for creating and modifying free-form surfaces, complex solids, parametric modi cations, and the use of solids in a multimodel environment Vendor: TBM Technologies Web site is http://wwwcatiacom/ UNIGRAPHICS: High-end, comprehensive package with modules for nite-element analysis, CAD/CAM, etc It feature ADAMS, a general tool for mechanism and multibody-system analysis No synthesis features are supported Vendor: Unigraphics Solutions Web site: http://wwwopenitxcom/ Finally, general-purpose software for numerical and symbolic computations is included below This software becomes quite useful in the computation and plotting of the local geometric properties, whereby some statistics are occasionally needed, like mean value and standard deviation of pressure-angle of curvature values We thus have MATLAB: General-purpopse numerical analysis package with excellent routines for equation-solving and optimization To be used as a support for linkage synthesis Vendor: The Mathworks Inc (wwwmathworkscom/ieex) MACSYMA (wwwmacsymacom), MAPLE (wwwmaplesoftcom), and MATHEMATICA (wwwwolframcom): commercial packages for symbolic computations These packages feature capabilities for numerical computations
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We introduce below two case studies illustrating the application of the concepts introduced in this chapter 761 Cam-Size Minimization We illustrate here a methodology that allows the designer to minimize the overall size of planar cam mechanisms while maintaining an acceptable force-transmission performance on imposing bounds on the pressure angle This methodology has some improvements over other techniques, eg, the exploratory search method proposed in Chan and Kok (1996) The cam mechanism to be synthesized is shown in Fig 713 In this gure, b represents the radius of the base circle, c is the smallest displacement of the follower, e denotes the offset of the path of the follower tip, N is the line normal to the cam pro le at the contact point, s(y) is the displacement of the follower, a(y) denotes the pressure angle, and y represents the angular displacement of the cam In this gure, line OF is xed to the mechanism frame, while line OC is xed to the cam plate The follower-displacement program of a cam mechanism is given as the addition of a constant c and a positive-de nite function s(y) Thus, the displacement of the follower can be written as S (y ) = c + s (y ), s (y ) 0, 0 y 2p with the derivatives (777)
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