# Design of Special Planar LinkagesDesign of Planar Linkages with Specified Positions

Design of Special Planar Linkages: Design of Planar Linkages with Specified Positions [This chapter proposes a uniform design equation for planar four-bar linkages with \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$n$$ \end{document} prescribed positions. The coordinates of circle point at the first position are used as the design variables to build the distance constraint equations for the following successive positions through matrix transformation. Expanding the quadratic equations and canceling the quadratic items of the coordinates of the center point, a set of linear equations are obtained. The augmented coefficient matrix consisting of the coordinates of circle point at the first position is obtained to construct a uniform expression for the design of planar four-bar linkages.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

# Design of Special Planar LinkagesDesign of Planar Linkages with Specified Positions

21 pages

Publisher
Springer Berlin Heidelberg
ISBN
978-3-642-38447-9
Pages
13 –34
DOI
10.1007/978-3-642-38448-6_2
Publisher site
See Chapter on Publisher Site

### Abstract

[This chapter proposes a uniform design equation for planar four-bar linkages with \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$n$$ \end{document} prescribed positions. The coordinates of circle point at the first position are used as the design variables to build the distance constraint equations for the following successive positions through matrix transformation. Expanding the quadratic equations and canceling the quadratic items of the coordinates of the center point, a set of linear equations are obtained. The augmented coefficient matrix consisting of the coordinates of circle point at the first position is obtained to construct a uniform expression for the design of planar four-bar linkages.]

Published: Jul 8, 2013

Keywords: Center Point; Precise Solution; Perpendicular Bisector; Position Problem; Uniform Expression