The DOI matches its Crossref record; 69 of the 74 references it cites were found in a registry or an index.
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In the citing paper
“If C has full rank for all points in Σ, then Σ is an (n −m)-dimensional submanifold of Rn [37, 38].”
From Thermal Fluctuations of Singular Bar-Joint Mechanisms (2022) · cites this paper as [38]
Citations
Cites
Kinematic geometry of mechanisms
Hunt, K. H. (1978) · Medical Entomology and Zoology · Cited by 1,917
Singularity analysis of closed-loop kinematic chains
Gosselin, C., & Angeles, J. (1990) · IEEE Transactions on Robotics and Automation · doi:10.1109/70.56660 · Cited by 1,752
Mobility in Metamorphic Mechanisms of Foldable/Erectable Kinds
Dai, J. S., & Jones, J. R. (1999) · Journal of Mechanical Design · doi:10.1115/1.2829470 · Cited by 577
Self-citationTangents to an Analytic Variety
Whitney, H. (1965) · Annals of Mathematics · doi:10.2307/1970400 · Cited by 382
Tangents to an Analytic Variety
Whitney, H. (1992) · Birkhäuser Boston eBooks · doi:10.1007/978-1-4612-2972-8_34 · Cited by 351
Singularity Analysis of Closed Kinematic Chains
Park, F. C., & Kim, J. W. (1999) · Journal of Mechanical Design · doi:10.1115/1.2829426 · Cited by 234
Type Synthesis of Parallel Mechanisms With Multiple Operation Modes
Kong, X., Gosselin, C., & Richard, P.-L. (2006) · Journal of Mechanical Design · doi:10.1115/1.2717228 · Cited by 196
Recent Advances in Robot Kinematics
(1996) · Springer eBooks · doi:10.1007/978-94-009-1718-7 · Cited by 182
Single-loop kinematotropic mechanisms
Galletti, C., & Fanghella, P. (2001) · Mechanism and Machine Theory · doi:10.1016/s0094-114x(01)00002-7 · Cited by 175
Wohlhart, K. (1996) · Springer eBooks · doi:10.1007/978-94-009-1718-7_36 · Cited by 174
Research works printed but not linked: 1
- Wunderlich, 1954, Ein merkwürdiges zwölfstabgetriebe, Österreichisches Ingenieurarchiv, 8, 224
Cited by
Sorted by citations
Motion singularity analysis of the thick-panel kirigami
Wang, C., Li, J., & Zhang, D. (2022) · Mechanism and Machine Theory · doi:10.1016/j.mechmachtheory.2022.105162 · Cited by 21
Synthesis of asymmetric parallel mechanism with multiple 3-DOF motion modes
Liu, W., & Liu, H. (2022) · Advances in Mechanical Engineering · doi:10.1177/16878140221075309 · Cited by 11
Mechanism singularities and shakiness from an algebraic viewpoint
Li, Z., & Müller, A. (2023) · Mechanism and Machine Theory · doi:10.1016/j.mechmachtheory.2023.105510 · Cited by 10
Self-citationDeformable Morphing and Multivariable Stiffness in the Evolutionary Robotics
Feng, H., Xue, Y., Li, H., Tang, Z., Wang, W., Wei, Z., Zeng, G., Li, M., & Dai, J. S. (2023) · International Journal of Automotive Manufacturing and Materials · doi:10.53941/ijamm.2023.100013 · Cited by 7
Self-citationThermal Fluctuations of Singular Bar-Joint Mechanisms
Mannattil, M., Schwarz, J. M., & Santangelo, C. D. (2022) · Physical Review Letters · doi:10.1103/physrevlett.128.208005 · Cited by 7
Identification of Non-Transversal Motion Bifurcations of Linkages
Müller, A., López-Custodio, P. C., & Dai, J. S. (2021) · Journal of Mechanisms and Robotics · doi:10.1115/1.4049658 · Cited by 5
Self-citationDing, J., Li, X., Ding, H., & Yang, W. (2024) · Mechanism and Machine Theory · doi:10.1016/j.mechmachtheory.2024.105627 · Cited by 4
Synthesis of kinematotropic parallel manipulators by inclusion of additional motion generators
López-Custodio, P. C., & Müller, A. (2022) · Multibody System Dynamics · doi:10.1007/s11044-022-09837-w · Cited by 2
Self-citationMüller, A., & Li, Z. (2024) · Journal of Mechanisms and Robotics · doi:10.1115/1.4064575 · Cited by 2
Self-citationType synthesis of closed-loop robots for machining and manufacturing of complex quadric surfaces
Song, J., Yang, S., Zhang, Y., Fang, Z., & Zou, T. C. (2025) · Robotica · doi:10.1017/s0263574725101732 · Cited by 2
Wohlhart’s Three-Loop Mechanism: An Overconstrained and Shaky Linkage
Müller, A. (2020) · Springer proceedings in advanced robotics · doi:10.1007/978-3-030-50975-0_16 · Cited by 2
Self-citationC-Space Analysis Using Tropical Geometry
Nayak, A. (2021) · Springer proceedings in advanced robotics · doi:10.1007/978-3-030-91352-6_10 · Cited by 3
Synthesis and mode transformation analysis of double loop 7R mechanism with motion and locking modes
Liu, W., Zhang, N., & Meng, B. (2025) · Advances in Mechanical Engineering · doi:10.1177/16878132251336968 · Cited by 1
Yang, H. M., Wu, D., Wang, Y., & Xiao, H. (2024) · Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science · doi:10.1177/09544062241262223 · Cited by 1
Design and Mode Analysis of Reconfigurable Spatial Closed-Chain Wheel-Leg Mechanism
Yang, H. W., Wu, J., Weng, M., & Yao, Y. (2023) · Lecture notes in mechanical engineering · doi:10.1007/978-981-19-9398-5_49
Xu, T., Zlatanov, D., Ding, X., & Lyu, S. (2026) · Mechanism and Machine Theory · doi:10.1016/j.mechmachtheory.2026.106556
Metadata
- Authors
- López-Custodio, P. C., Müller, A., Kang, X., & Dai, J. S.
- Affiliations
- King's College London (GB)
- Johannes Kepler University of Linz (AT)
- National University of Singapore (SG)
- Corresponding author
- López-Custodio, P.C.
- Venue
- Mechanism and Machine Theory
- Publisher
- Elsevier BV
- Published
- 2020-05
- Volume
- 147
- Pages
- 103730
- ISSN
- 0094-114X (ISSN-L)
- OpenAlex
- W2998847786
- Cited by
- 16
- References
- 74
- Citations by year
- 2026: 1 · 2025: 2 · 2024: 3 · 2023: 3 · 2022: 4 · 2021: 2 · 2020: 1
- FWCI
- 1.24
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Mechanism and Machine Theory (publishedVersion)
- Lincoln Repository (University of Lincoln) (acceptedVersion)
- Research Portal (King's College London) (submittedVersion)
- Funders
- Engineering and Physical Science Research Council (EP/P025447/1, EP/P026087/1)
- National Natural Science Foundation of China (51535008, 51721003)
- 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
- tangent cones, type synthesis, kinematic singularities
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