{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,11]],"date-time":"2026-09-11T22:56:36Z","timestamp":1789167396145,"version":"build-2803163510"},"reference-count":24,"publisher":"MDPI AG","issue":"24","license":[{"start":{"date-parts":[[2025,12,8]],"date-time":"2025-12-08T00:00:00Z","timestamp":1765152000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["12494564"],"award-info":[{"award-number":["12494564"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["U24B2001"],"award-info":[{"award-number":["U24B2001"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Materials"],"abstract":"<jats:p>Ultra-large structures serve as core aerospace equipment for missions such as Earth observation and deep space exploration. With dimensions reaching hundreds of meters or even kilometers, they require advanced technologies, including on-orbit assembly, modular integration, and robot-assisted construction, to achieve high-precision structural formation and stable operation. For on-orbit assembly of these structures, critical attention must be paid to their inherent vibration characteristics to evaluate on-orbit service stiffness and stability. Additionally, the static deformation behavior during assembly must be examined to assess the impact of assembly loads on overall structural deformation and surface accuracy. To efficiently evaluate the above-mentioned characteristics, an equivalent scale analysis method for the on-orbit assembly of space-based megastructures is established. Through theoretical modelling, it establishes scaling relationships between mechanical properties\u2014such as structural natural vibration and static deformation\u2014and module diameter dimensions. The numerical results indicate that halving the module diameter results in the natural frequency of the assembled structure increasing by about four times and the static deformation decreasing by about eight times, in agreement with the scaling law. This method enables accurate inference of the full-scale structure\u2019s on-orbit mechanical behavior, thereby facilitating precise evaluation of typical mechanical characteristics during ultra-large structure on-orbit assembly.<\/jats:p>","DOI":"10.3390\/ma18245508","type":"journal-article","created":{"date-parts":[[2025,12,8]],"date-time":"2025-12-08T15:30:07Z","timestamp":1765207807000},"page":"5508","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Research on Equivalent Scale Analysis for On-Orbit Assembly of Ultra-Large Space Structures"],"prefix":"10.3390","volume":"18","author":[{"given":"Dayu","family":"Zhang","sequence":"first","affiliation":[{"name":"China Academy of Space Technology (Xi\u2019an), Xi\u2019an 710100, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiaofei","family":"Ma","sequence":"additional","affiliation":[{"name":"China Academy of Space Technology (Xi\u2019an), Xi\u2019an 710100, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yang","family":"Li","sequence":"additional","affiliation":[{"name":"China Academy of Space Technology (Xi\u2019an), Xi\u2019an 710100, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zexing","family":"Yu","sequence":"additional","affiliation":[{"name":"Xi\u2019an Institute of Space Ratio Technology, Xi\u2019an 710100, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ruiwen","family":"Guo","sequence":"additional","affiliation":[{"name":"China Academy of Space Technology (Xi\u2019an), Xi\u2019an 710100, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Wenjin","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Astronautics, Northwestern Polytechnical University, Xi\u2019an 710072, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Sicheng","family":"Wang","sequence":"additional","affiliation":[{"name":"China Academy of Space Technology (Xi\u2019an), Xi\u2019an 710100, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yongbo","family":"Ye","sequence":"additional","affiliation":[{"name":"China Academy of Space Technology (Xi\u2019an), Xi\u2019an 710100, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2025,12,8]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Dorsey, J., and Watson, J. (2016, January 13\u201316). Space assembly of large structural system architectures (SALSSA). Proceedings of the AIAA Space and Astronautics Forum and Exposition 2016, Long Beach, CA, USA.","DOI":"10.2514\/6.2016-5481"},{"key":"ref_2","first-page":"1","article-title":"Dynamics and control of on-orbit assembly of ultra-large space structures","volume":"55","author":"Hu","year":"2025","journal-title":"Adv. Mech."},{"key":"ref_3","first-page":"50","article-title":"State-of-the-art of on-orbit assembly of ultra-large space antenna","volume":"22","author":"Zhang","year":"2025","journal-title":"Space Electron. Technol."},{"key":"ref_4","first-page":"51","article-title":"An adjustment method for deployable mesh antenna based on multi neural network","volume":"44","author":"Su","year":"2024","journal-title":"Chin. Space Sci. Technol."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"623","DOI":"10.1007\/s11071-016-3265-4","article-title":"Quasi-time-optimal controller design for a rigid-flexible multibody system via absolute coordinate-based formulation","volume":"88","author":"Chen","year":"2017","journal-title":"Nonlinear Dyn."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"103601","DOI":"10.1016\/j.mechmachtheory.2019.103601","article-title":"Assembly dynamics of a large space modular satellite antenna","volume":"142","author":"Li","year":"2019","journal-title":"Mech. Mach. Theory"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"573","DOI":"10.1016\/j.cma.2017.06.029","article-title":"Model order reduction for dynamic simulation of a flexible multibody system via absolute nodal coordinate formulation","volume":"324","author":"Luo","year":"2017","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"ref_8","first-page":"805","article-title":"Active-constrol-oriented dynamic modeling for on-orbit assembly space structure","volume":"52","author":"Wang","year":"2020","journal-title":"Chin. J. Theor. Appl. Mech."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/j.actaastro.2023.07.034","article-title":"Vibration control for large space truss structure assembly using a distributed adaptive neural network approach","volume":"212","author":"Wu","year":"2023","journal-title":"Acta Astronaut."},{"key":"ref_10","first-page":"446","article-title":"Dynamics and attitude control of the assembly process of ultra-large multi-module structures","volume":"56","author":"Fu","year":"2024","journal-title":"Chin. J. Theor. Appl. Mech."},{"key":"ref_11","first-page":"295","article-title":"On orbit Deployment and Assembly Dynamics and Control of Large Space Power Station","volume":"42","author":"Rong","year":"2021","journal-title":"J. Astronaut."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"881","DOI":"10.1016\/j.actaastro.2020.10.030","article-title":"Dynamics and on-orbit assembly strategies for an orb-shaped solar array","volume":"178","author":"Cao","year":"2021","journal-title":"Acta Astronaut."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"29","DOI":"10.3847\/1538-4357\/ab1e4c","article-title":"Quasi Sun Pointing Oriented Attitude for Solar Power Satellites","volume":"40","author":"Li","year":"2019","journal-title":"J. Astronaut."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1863","DOI":"10.2514\/1.G004202","article-title":"Coordinated orbit-attitude-vibration control of a sun-facing solar power satellite","volume":"42","author":"Li","year":"2019","journal-title":"J. Guid. Control. Dyn."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"104562","DOI":"10.1016\/j.ijnonlinmec.2023.104562","article-title":"Orbit-attitude-structure coupled modelling method in local translational coordinate frame for multibody systems","volume":"157","author":"Jiang","year":"2023","journal-title":"Int. J. Non-Linear Mech."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"224518","DOI":"10.1360\/SSPMA-2024-0302","article-title":"Dynamically scaled equivalent modelling for flexible multibody systems in space","volume":"55","author":"Qi","year":"2025","journal-title":"Sci. Sin. Phys. Mech. Astron."},{"key":"ref_17","unstructured":"Ogilvie, A., Allport, J., Hannah, M., and Lymer, J. (2024, January 19\u201321). Autonomous satellite servicing using the orbital express demonstration manipulator system. Proceedings of the 9th International Symposium on Artificial Intelligence, Robotics and Automation in Space (i-SAIRAS\u201908), Brisbane, Australia."},{"key":"ref_18","unstructured":"Jaekel, S., Lampariello, R., Panin, G., Sagardia, M., Brunner, B., Porges, O., Kraemer, E., Wieser, M., Haarmann, R., and Biesbroek, R. (2015, January 11\u201313). Robotic capture and de-orbit of a heavy, uncooperative and tumbling target in low earth orbit. Proceedings of the 13th Symposium on Advanced Space Technologies in Robotics and Automation, Noordwijk, The Netherlands."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"280","DOI":"10.2514\/2.1941","article-title":"Dynamic equivalence conditions for controlled robotic manipulators","volume":"41","author":"Ghanekar","year":"2003","journal-title":"AIAA J."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"691","DOI":"10.1016\/j.actaastro.2006.10.002","article-title":"Coupling between structural deformation and attitude motion of large planar space structures suspended by multi-tethers","volume":"60","author":"Ishimura","year":"2007","journal-title":"Acta Astronaut."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1007\/s12567-017-0174-4","article-title":"Dynamical analysis of docking with very large space infrastructures in non-Keplerian orbits","volume":"10","author":"Colagrossi","year":"2018","journal-title":"CEAS Space J."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1061\/(ASCE)0893-1321(1993)6:2(115)","article-title":"Structural and orbital conditions on response of large space structures","volume":"6","author":"Malla","year":"1993","journal-title":"J. Aerosp. Eng."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1109\/TAES.2020.3016877","article-title":"Control verifications of space manipulators using ground platforms","volume":"57","author":"Zong","year":"2020","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_24","first-page":"1521","article-title":"Dynamic equivalence conditions and control scaling laws for ground and space manipulators","volume":"35","author":"Zong","year":"2018","journal-title":"Control. Theory Appl."}],"container-title":["Materials"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1996-1944\/18\/24\/5508\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,12,10]],"date-time":"2025-12-10T05:20:27Z","timestamp":1765344027000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1996-1944\/18\/24\/5508"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,12,8]]},"references-count":24,"journal-issue":{"issue":"24","published-online":{"date-parts":[[2025,12]]}},"alternative-id":["ma18245508"],"URL":"https:\/\/doi.org\/10.3390\/ma18245508","relation":{},"ISSN":["1996-1944"],"issn-type":[{"value":"1996-1944","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,12,8]]}}}