A Software Tool for WWW-Based Learning of Multibody Kinematics

Author(s):  
Carlo Galletti ◽  
Elena Giannotti

Abstract In this work we present a new software tool for helping students perform basic kinematic analysis using Internet. It allows students to model and analyze planar multibody systems with rigid bodies. Master objects that contain data and algorithms for modeling and analyzing rigid bodies and lower kinematic pairs have been developed following an object-oriented approach. The layouts of the objects are discussed and the way of instancing them for defining a model of a multibody system is described. The student can analyze interactively the model created in this way, using the software tool itself, or he can export it to the MAPLE code. From MAPLE the student can obtain, in an automatic way, numerical or closed-form solutions of the kinematic equations.

Author(s):  
Martin Ta¨ndl ◽  
Andre´s Kecskeme´thy

The article presents an object-oriented framework for representing guided spatial motion in multibody systems. In this setting, the spatial track is regarded as a kinetostatic transmission element transmitting motion and forces as in a generic joint. For vector decompositions along the path, three different parametrizations (Frenet and Darboux frames, respectively, as well as the ODE generation proposed by Bishop) are analyzed. It is shown that for the Frenet frame parametrization, it is possible to avoid singularities at the points of inflection by a special blending technique. Track geometry is globally smoothed up to fifth order using B-Splines and Dierckx optimization routines, thus allowing for non-jerky acceleration layout. Roll-angle or banking information is additionally generated by globally smooth splines, thus also allowing for non-jerky rotations along the track. Local editing is made possible through the use of exponential blending functions. The result is a robust and easily applicable software that can be integrated in general environments. All concepts have been implemented in a multibody simulation program and tested within an industrial application of roller coaster design.


2000 ◽  
Author(s):  
David M. Auslander

Abstract An approach is suggested for a methodology associated with basic mechanics that greatly enlarges the scope of problems accessible to students and professionals. A numerical approach based on Newtonian point-mass mechanics and pseudo-rigid bodies brings problems such as three-dimensional dynamics and constrained motions into the arena of basic mechanics. Because solutions of almost any problems of interest require computation, integrated study of physics, math, and computation is essential. An object-oriented computational approach is extremely useful since all models can be expressed with the same set of basic elements.


IEE Review ◽  
1990 ◽  
Vol 36 (9) ◽  
pp. 338
Author(s):  
Stephen Wilson

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