The Position Analysis of Spherical Seven-Bar Mechanism

Zhao Feng Zhang; Zhi Huan Zhang

doi:10.4028/www.scientific.net/AMM.101-102.193

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 101-102The Position Analysis of Spherical Seven-Bar...

The Position Analysis of Spherical Seven-Bar Mechanism

Abstract:

In this paper, we turn plane seven-bar mechanism into spherical seven-bar mechanism, using quaternion to construct mathematical model for spherical seven-bar mechanism. Three constraint equations are obtained according to the angles constraint. Using Sylvester resultant elimination by two steps, a 32 degree univariate polynomial equation can be obtained. A numerical example confirms that analytical solutions of spherical seven-bar mechanism are 32 and with the help of Mathematic software to solve the location parameters.