Abstract
This paper presents a quadratic constraint acquisition method to address the problem of finite position generation of planar mechanisms, with the benefit of simultaneous determination of type and dimensions. The key to this approach is the development of general mathematical formulations of quadratic curve constraints that are not directly dependent on the complete choice of a planar mechanism type. The Homotopy algorithm is applied to extract the geometric constraints and then the type and dimensions of their corresponding 1-DOF mechanisms can be obtained. Two examples are provided at the end of the paper to demonstrate the validity of the proposed method.
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Acknowledgment
The work has been financially supported by National Natural Science Foundation of China(Grant No. 51805449), Sichuan Science and Technology Program(Grant No. 2018HH0144), and the Fundamental Research Funds for Central Universities of China(Grant No. 2682017CX037). All findings and results presented in this paper are those of the authors and do not represent those of funding agencies.
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Lv, H., Shi, K., Li, X. (2020). Kinematic Acquisition of Quadratic Curve Constraints for Finite Position Generation of Planar Mechanisms. In: Wang, D., Petuya, V., Chen, Y., Yu, S. (eds) Recent Advances in Mechanisms, Transmissions and Applications. MeTrApp 2019. Mechanisms and Machine Science, vol 79. Springer, Singapore. https://doi.org/10.1007/978-981-15-0142-5_3
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DOI: https://doi.org/10.1007/978-981-15-0142-5_3
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