The DOI matches its Crossref record; 45 of the 45 references it cites were found in a registry or an index.
A synthesis method for 1-DOF mechanisms with a cusp in the configuration space
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“When Σ has a “branched” structure, e.g., like in Fig. 1, C(q) drops rank at the singularity where the branches meet [39, 40], and the constraints cease to be linearly independent.”
From Thermal Fluctuations of Singular Bar-Joint Mechanisms (2022) · cites this paper as [40]
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“When the constraints in a mechanism cease to be linearly independent, singularities can appear in its shape space, which is the part of its configuration space after discarding rigid motions.”
From Thermal Fluctuations of Singular Bar-Joint Mechanisms (2022) · cites this paper as [40]
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Citations
Cites
A Kinematic Notation for Lower-Pair Mechanisms Based on Matrices
Denavit, J., & Hartenberg, R. S. (1955) · Journal of Applied Mechanics · doi:10.1115/1.4011045 · Cited by 4,569
Kinematic geometry of mechanisms
Hunt, K. H. (1978) · Medical Entomology and Zoology · Cited by 1,917
Differential Geometry: Curves - Surfaces - Manifolds
Kühnel, W. (2002) · Cited by 386
Analyse structurelle des mécanismes par groupe des déplacements
Hervé, J. M. (1978) · Mechanism and Machine Theory · doi:10.1016/0094-114x(78)90017-4 · Cited by 361
(1962) · Elsevier eBooks · doi:10.1016/c2013-0-01706-9 · Cited by 241
Kinematics of Spherical Mechanisms
蔣君宏, & Chiang, C. (1988) · Cited by 206
Mémoire sur la théorie de l'octaèdre articulé
Bricard, R. (1897) · French digital mathematics library (Numdam) · Cited by 186
Special configurations of spatial mechanisms and robot arms
Sugimoto, K., Duffy, J., & Hunt, K. H. (1982) · Mechanism and Machine Theory · doi:10.1016/0094-114x(82)90042-8 · Cited by 165
An analysis of the Bricard linkages
Baker, J. E. (1980) · Mechanism and Machine Theory · doi:10.1016/0094-114x(80)90021-x · Cited by 156
A Study of the Jacobian Matrix of Serial Manipulators
Waldron, K. J., Wang, S.-L., & Bolin, S. J. (1985) · Journal of Mechanisms Transmissions and Automation in Design · doi:10.1115/1.3258714 · Cited by 151
Research works printed but not linked: 1
- Tarnai, 2000, Finite mechanisms have no higher-order rigidity, Acta Tech. Acad. Sci. Hung., 106, 119
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Jia, G., Huang, H., Wang, S., & Li, B. (2021) · Mechanism and Machine Theory · doi:10.1016/j.mechmachtheory.2021.104330 · Cited by 56
Müller, A. (2019) · Mechanism and Machine Theory · doi:10.1016/j.mechmachtheory.2019.103594 · Cited by 60
Self-citationWu, L., Müller, A., & Dai, J. S. (2020) · Mechanism and Machine Theory · doi:10.1016/j.mechmachtheory.2019.103776 · Cited by 18
Self-citationTangential intersection of branches of motion
López-Custodio, P. C., Müller, A., Kang, X., & Dai, J. S. (2020) · Mechanism and Machine Theory · doi:10.1016/j.mechmachtheory.2019.103730 · Cited by 16
Self-citationLocal Investigation of Mobility and Singularities of Linkages
Müller, A. (2019) · Courses and lectures · doi:10.1007/978-3-030-05219-5_5 · Cited by 13
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Metadata
- Authors
- López-Custodio, P. C., Müller, A., Rico, J. M., & Dai, J. S.
- Affiliations
- King's College London (GB)
- Johannes Kepler University of Linz (AT)
- Universidad de Guanajuato (MX)
- Corresponding author
- López-Custodio, P.C.
- Venue
- Mechanism and Machine Theory
- Publisher
- Elsevier BV
- Published
- 2019-02
- Volume
- 132
- Pages
- 154-175
- ISSN
- 0094-114X (ISSN-L)
- OpenAlex
- W2898998959
- Cited by
- 24
- References
- 45
- Citations by year
- 2026: 1 · 2025: 3 · 2024: 1 · 2023: 1 · 2022: 2 · 2021: 5 · 2020: 5 · 2019: 5
- FWCI
- 2.48
- Type
- journal article
- Language
- en
- Open access
- green
- kclpure.kcl.ac.uk
- Licence
- Locations
- Mechanism and Machine Theory (publishedVersion)
- Research Portal (King's College London) (submittedVersion, cc-by-nc-nd)
- Lincoln Repository (University of Lincoln) (submittedVersion)
- Funders
- King's College London
- Engineering and Physical Sciences Research Council (EP/P026087/1, EP/P025447/1)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Robotic Mechanisms and Dynamics
- Physical Sciences › Engineering › Control and Systems Engineering › Dynamics and Control of Mechanical Systems
- Physical Sciences › Engineering › Civil and Structural Engineering › Topology Optimization in Engineering
- Keywords
- cusp singularities, mechanism synthesis, configuration space, spatial mechanisms, bifurcation points, space curves
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