Affiliation:
1. Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, IN 46556
Abstract
Abstract
Synthesis of rigid-body mechanisms has traditionally been motivated by the design for kinematic requirements such as rigid-body motions, paths, or functions. A blend of the latter two leads to timed curve synthesis, the goal of which is to produce a path coordinated to the input of a joint variable. This approach has utility for altering the transmission of forces and velocities from an input joint onto an output point path. The design of timed curve generators can be accomplished by setting up a square system of algebraic equations and obtaining all isolated solutions. For a four-bar linkage, obtaining these solutions is routine. The situation becomes much more complicated for the six-bar linkages, but the range of possible output motions is more diverse. The computation of nearly complete solution sets for these six-bar design equations has been facilitated by recent root finding techniques belonging to the field of numerical algebraic geometry. In particular, we implement a method that uses random monodromy loops. In this work, we report these solution sets to all relevant six-bars of the Stephenson topology. The computed solution sets to these generic problems represent a design library, which can be used in a parameter continuation step to design linkages for different subsequent requirements.
Reference35 articles.
1. Über Die Erzeugung Gegebener Ebener Kurven Mit Hilfe Des Gelenkviereckes;Alt;ZAMM-J. Appl. Math. Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik,1923
2. An Analytical Approach to the Design of Four-Link Mechanisms;Freudenstein;Trans. ASME,1954
3. Complete Solution of the Nine-Point Path Synthesis Problem for Four-Bar Linkages;Wampler;ASME J. Mech. Des.,1992
4. Four-and Six-Bar Function Cognates and Overconstrained Mechanisms;Simionescu;Mech. Mach. Theory.,2001
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献