Fourier series representation of the coupler curves of spatial linkages |
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| Authors: | Jianwei Sun Jinkui Chu |
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| Institution: | Key Laboratory for Precision and Non-traditional Machining of Ministry of Education, Dalian University of Technology, DaLian 116023, PR China |
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| Abstract: | In this paper, the three-dimensional Fourier series which can describe the coupler curves of spatial linkages are derived. Based on the geometric properties of one-dimensional and two-dimensional Fourier series, a geometric constraint conditions are proposed to establish the three-dimensional Fourier series. The geometric meaning of mechanism for the three-dimensional Fourier series is put forward. Finally, an example is given to show the feasibility and the validity of this approach. |
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| Keywords: | Spatial linkages Harmonic component Coupler curves Fourier series |
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