Abstract
The problems of linkage synthesis outlined in Ch. 5 lead in general to nonlinear systems of algebraic equations. As discussed in Section 1.13, these systems can admit multiple solutions or none. The said solutions satisfy all the equations exactly, if roundoff errors are disregarded, which is done in this case for the numerical accuracy of the solution will be taken for granted in the current discussion. The resulting solutions, however, were not evaluated as to the “quality” of the linkage they produced, once this quality is defined. The quality under consideration could be the overall size of the linkage (this size could be in turn defined as the sum of the lengths of all the links, for example), its minimum mechanical advantage or the maximum angular acceleration attained by one of its links.
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Angeles, J. (1982). An Introduction to the Optimal Synthesis of Linkages. In: Spatial Kinematic Chains. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-48819-1_6
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