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TECHNICAL PAPERS

On the One-Parameter Lorentzian Spherical Motions and Euler-Savary Formula

[+] Author and Article Information
M. Tosun1

Department of Mathematics, Faculty of Arts Sciences, Sakarya University, Sakarya, 54187 Turkeytosun@sakarya.edu.tr

M. A. Gungor

Department of Mathematics, Faculty of Arts Sciences, Sakarya University, Sakarya, 54187 Turkey

I. Okur

Department of Physics, Faculty of Arts Sciences, Sakarya University, Sakarya, 54187 Turkey

1

Corresponding author.

J. Appl. Mech 74(5), 972-977 (Jan 17, 2007) (6 pages) doi:10.1115/1.2722775 History: Received July 13, 2005; Revised January 17, 2007

In this paper, we have introduced one-parameter Lorentzian spherical motion. In addition to that, we have given the relations between the absolute, relative, and sliding velocities of these motions. Furthermore, the relations between fixed and moving pole curves in the Lorentzian spherical motions have also been obtained. At the end of this study, we have expressed the Euler-Savary formula for the one-parameter Lorentzian spherical motions.

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Copyright © 2007 by American Society of Mechanical Engineers
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Figure 1

The geared seven-bar mechanism

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Figure 2

Schematic diagram of the double-flier eight-bar linkage

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Figure 3

Velocity vector v⃗ of point X

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Figure 4

Rotation about the axis p⃗=r⃗3 by an angle of θ

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Figure 5

Distance of point X to rotation pole P

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Figure 6

Normal plane defined by vectors x⃗ and n⃗

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