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No AccessTechnical NotesCopula-Based Collaborative Multistructure Damage Diagnosis and Prognosis for Fleet Maintenance Digital TwinsXuan Zhou, Claudio Sbarufatti, Marco Giglio, Leiting Dong and Satya N. AtluriXuan Zhou https://orcid.org/0000-0002-2806-9654Beihang University, 100191 Beijing, People’s Republic of China*Ph.D. Candidate, School of Aeronautic Science and Engineering; also Ph.D. Candidate, Department of Mechanical Engineering, Polytechnic University of Milan, 20156 Milan, Italy.Search for more papers by this author, Claudio Sbarufatti https://orcid.org/0000-0001-5511-8194Polytechnic University of Milan, 20156 Milan, Italy†Associate Professor, Department of Mechanical Engineering; (Co-Corresponding Author).Search for more papers by this author, Marco GiglioPolytechnic University of Milan, 20156 Milan, Italy‡Professor, Department of Mechanical Engineering.Search for more papers by this author, Leiting Dong https://orcid.org/0000-0003-1460-1846Beihang University, 100191 Beijing, People’s Republic of China§Professor and Deputy Dean, School of Aeronautic Science and Engineering; Tianmushan Laboratory, 310023 Hangzhou, People’s Republic of China; (Corresponding Author).Search for more papers by this author and Satya N. AtluriTexas Tech University, Lubbock, Texas 79409¶Professor and Presidential Chair, Department of Mechanical Engineering. Fellow AIAA.Search for more papers by this authorPublished Online:15 Jun 2023https://doi.org/10.2514/1.J063105SectionsRead Now ToolsAdd to favoritesDownload citationTrack citations ShareShare onFacebookTwitterLinked InRedditEmail About References [1] Molent L. and Aktepe B., “Review of Fatigue Monitoring of Agile Military Aircraft,” Fatigue and Fracture of Engineering Materials and Structures, Vol. 23, No. 9, 2000, pp. 767–785. https://doi.org/10.1046/j.1460-2695.2000.00330.x CrossrefGoogle Scholar[2] Tuegel E. J., Ingraffea A. R., Eason T. G. and Spottswood S. M., “Reengineering Aircraft Structural Life Prediction Using a Digital Twin,” International Journal of Aerospace Engineering, Vol. 2011, Aug. 2011, Paper 154798. https://doi.org/10.1155/2011/154798 CrossrefGoogle Scholar[3] Zhou X., He S., Dong L. and Atluri S. N., “Real-Time Prediction of Probabilistic Crack Growth with a Helicopter Component Digital Twin,” AIAA Journal, Vol. 60, No. 4, 2022, pp. 2555–2567. https://doi.org/10.2514/1.J060890 LinkGoogle Scholar[4] Zhao F., Zhou X., Wang C., Dong L. and Atluri S. N., “Setting Adaptive Inspection Intervals in Helicopter Components, Based on a Digital Twin,” AIAA Journal, Vol. 61, No. 6, May 2023, pp. 2675–2688. https://doi.org/10.2514/1.J062222 LinkGoogle Scholar[5] Li C., Mahadevan S., Ling Y., Choze S. and Wang L., “Dynamic Bayesian Network for Aircraft Wing Health Monitoring Digital Twin,” AIAA Journal, Vol. 55, No. 3, 2017, pp. 930–941. https://doi.org/10.2514/1.J055201 LinkGoogle Scholar[6] Li T., Sbarufatti C., Cadini F., Chen J. and Yuan S., “Particle Filter-Based Hybrid Damage Prognosis Considering Measurement Bias,” Structural Control and Health Monitoring, Vol. 29, No. 4, 2022, Paper e2914. https://doi.org/10.1002/stc.2914 Google Scholar[7] Patton A. J., “A Review of Copula Models for Economic Time Series,” Journal of Multivariate Analysis, Vol. 110, Sept. 2012, pp. 4–18. https://doi.org/10.1016/j.jmva.2012.02.021 Google Scholar[8] Zhou X., Sbarufatti C., Giglio M. and Dong L., “A Fuzzy-Set-Based Joint Distribution Adaptation Method for Regression and Its Application to Online Damage Quantification for Structural Digital Twin,” Mechanical Systems and Signal Processing, Vol. 191, May 2023, Paper 110164. https://doi.org/10.1016/j.ymssp.2023.110164 Google Scholar[9] Han L., He X., Ning Y., Zhang Y. and Zhou Y., “Fatigue Damage Diagnosis and Prognosis for 2024 Aluminum Plates with Center Holes: A Strain Monitoring Approach,” International Journal of Fatigue, Vol. 170, Jan. 2023, Paper 107535. https://doi.org/10.1016/j.ijfatigue.2023.107535. Google Scholar Next article FiguresReferencesRelatedDetails What's Popular Articles in AdvanceSupplemental Materials CrossmarkInformationCopyright © 2023 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved. All requests for copying and permission to reprint should be submitted to CCC at www.copyright.com; employ the eISSN 1533-385X to initiate your request. See also AIAA Rights and Permissions www.aiaa.org/randp. TopicsAircraft Components and StructureAircraft DesignAircraft Operations and TechnologyApplied MathematicsDigital EngineeringEngineering and Technology ManagementFatigue (Materials)Fracture MechanicsGeneral PhysicsMaterial PropertiesMaterials and Structural MechanicsMathematical AnalysisStatistical AnalysisStructural Material PropertiesStructural Mechanics KeywordsDigital EngineeringStress Intensity FactorCumulative Distribution FunctionAircraft Components and StructureStructural DamageFatigue (Materials)Mathematical AnalysisStructural IntegrityNumber of ParticlesStructural AnalysisAcknowledgmentsThe National Natural Science Foundation of China (grant number 12072011) and the Aeronautical Science Foundation of China (grant number 201909051001) supported the work of the X. Zhou and Leiting Dong. The China Scholarship Council (grant number 202106020002) supported the work of the X. Zhou.PDF Received17 April 2023Accepted17 May 2023Published online15 June 2023

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No AccessTechnical NoteNonlinear Oscillations of a Fluttering Plate Resting on a Unidirectional Elastic FoundationBenjamin D. Goldman and Earl H. DowellBenjamin D. GoldmanDepartment of Mechanical Engineering and Materials Science, Duke University, Durham, North Carolina 27708*Graduate Student, Department of Mechanical Engineering and Materials Science. Student Member AIAA.Search for more papers by this author and Earl H. DowellDepartment of Mechanical Engineering and Materials Science, Duke University, Durham, North Carolina 27708†William Holland Professor, Department of Mechanical Engineering and Materials Science. Honorary Fellow AIAA.Search for more papers by this authorPublished Online:16 Sep 2014https://doi.org/10.2514/1.J053290SectionsRead Now ToolsAdd to favoritesDownload citationTrack citations ShareShare onFacebookTwitterLinked InRedditEmail About References [1] Dowell E., Dugundji J. and Perkin B., “Subsonic Flutter of Panels on Continuous Elastic Foundations,” AIAA Journal, Vol. 1, No. 5, 1963, pp. 1146–1154. doi:https://doi.org/10.2514/3.1738 AIAJAH 0001-1452 LinkGoogle Scholar[2] Dugundji J., “Theoretical Considerations of Panel Flutter at High Supersonic Mach Numbers,” AIAA Journal, Vol. 4, No. 7, 1966, pp. 1257–1266. doi:https://doi.org/10.2514/3.3657 AIAJAH 0001-1452 LinkGoogle Scholar[3] Chopra I., “Flutter of a Panel Supported on an Elastic Foundation,” AIAA Journal, Vol. 13, No. 5, 1975, pp. 687–688. doi:https://doi.org/10.2514/3.49789 AIAJAH 0001-1452 LinkGoogle Scholar[4] Rao G. V. and Rao K. S., “Supersonic Flutter of Short Panels on an Elastic Foundation,” AIAA Journal, Vol. 22, No. 6, 1984, pp. 856–857. doi:https://doi.org/10.2514/3.8698 AIAJAH 0001-1452 LinkGoogle Scholar[5] Del Corso J. A., Cheatwood F. M., Bruce W. E., Hughes S. J. and Calomino A. M., “Advanced High-Temperature Flexible TPS for Inflatable Aerodynamic Decelerators,” 21st AIAA Aerodynamic Decelerator Systems Technology Conference and Seminar, Vol. 1, AIAA, Reston, VA, 2011, pp. 139–161. Google Scholar[6] Dowell E., Aeroelasticity of Plates and Shells, No. 1, Springer, New York, 1975, pp. 38–39. Google Scholar[7] Bader B. W. and Kolda T. G., “Algorithm 862: MATLAB Tensor Classes for Fast Algorithm Prototyping,” ACM Transactions on Mathematical Software (TOMS), Vol. 32, No. 4, 2006, pp. 635–653. doi:https://doi.org/10.1145/1186785.1186794 CrossrefGoogle Scholar Previous article

Trends of Impact Ice Adhesion on Various Surfaces

Amitava Sarkar is a corporate research scientist for North America at TotalEnergies and a resident visiting scientist at Stanford University working to develop disruptive, no/low-carbon sustainable technologies to decarbonize the chemical industry. He is active in TotalEnergies’ open innovation effort through research and development collaborations and strategic partnerships with various research institutions around the world. Shaffiq Jaffer is the vice president of corporate science and technology projects in North America at TotalEnergies. He is engaged across the research ecosystem with relationships and investments in academia, startups, and private research companies for the purpose of bringing value to TotalEnergies and its partners. Arun Majumdar is the inaugural dean of the Stanford Doerr School of Sustainability, the Jay Precourt provostial chair professor at Stanford University, a faculty in the Department of Mechanical Engineering, and a senior fellow and former director of the Stanford Precourt Institute for Energy. He served in the Obama administration as the founding director of the US Department of Energy’s Advanced Research Projects Agency-Energy (ARPA-E) (2009–2012), the acting undersecretary for energy (2011–2012), and as the vice chair of the secretary of energy advisory board (2014–2017). Dr. Majumdar is a member of the US National Academy of Sciences, US National Academy of Engineering, and the American Academy of Arts and Sciences. Eddie Sun, Marco Gigantino, Richard Randall, Jimmy Rojas, and Shang Zhai were PhD students/postdoctoral scholars at Stanford University at the time of writing. Jimmy Rojas is now the founder and chief executive officer at EvolOH, and Shang Zhai is now an assistant professor in the Department of Mechanical and Aerospace Engineering (with a joint appointment in the School of Earth Sciences) at Ohio State University. Amitava Sarkar is a corporate research scientist for North America at TotalEnergies and a resident visiting scientist at Stanford University working to develop disruptive, no/low-carbon sustainable technologies to decarbonize the chemical industry. He is active in TotalEnergies’ open innovation effort through research and development collaborations and strategic partnerships with various research institutions around the world. Shaffiq Jaffer is the vice president of corporate science and technology projects in North America at TotalEnergies. He is engaged across the research ecosystem with relationships and investments in academia, startups, and private research companies for the purpose of bringing value to TotalEnergies and its partners. Arun Majumdar is the inaugural dean of the Stanford Doerr School of Sustainability, the Jay Precourt provostial chair professor at Stanford University, a faculty in the Department of Mechanical Engineering, and a senior fellow and former director of the Stanford Precourt Institute for Energy. He served in the Obama administration as the founding director of the US Department of Energy’s Advanced Research Projects Agency-Energy (ARPA-E) (2009–2012), the acting undersecretary for energy (2011–2012), and as the vice chair of the secretary of energy advisory board (2014–2017). Dr. Majumdar is a member of the US National Academy of Sciences, US National Academy of Engineering, and the American Academy of Arts and Sciences. Eddie Sun, Marco Gigantino, Richard Randall, Jimmy Rojas, and Shang Zhai were PhD students/postdoctoral scholars at Stanford University at the time of writing. Jimmy Rojas is now the founder and chief executive officer at EvolOH, and Shang Zhai is now an assistant professor in the Department of Mechanical and Aerospace Engineering (with a joint appointment in the School of Earth Sciences) at Ohio State University.

1 Post-doctoral Researcher, JAXA Space Exploration Center, 3-1-1 Yoshinodai, Chuo-ku, Sagamihara, Kanagawa, Japan. 2 Assistant Professor, JAXA Space Exploration Center, 3-1-1 Yoshinodai, Chuo-ku, Sagamihara, Kanagawa, Japan. 3 Professor, Department of Aerospace Engineering, 7-24-1 Narashinodai, Funabashi, Chiba, Japan. 4 Assistant Professor, Department of Mechanical and Aerospace Engineering, 2-12-1 Ookayama, Meguro-ku, Tokyo, Japan. 5 Graduate Student, Department of Aeronautics and Astronautics, 4-1-1 Kitakaname, Hiratsuka, Kanagawa, Japan. 6 Assistant Professor, Institute of Space and Astronautical Science, 3-1-1 Yoshinodai, Chuo-ku, Sagamihara, Kanagawa, Japan. 7 Post-doctoral Fellow, JAXA Space Exploration Center, 3-1-1 Yoshinodai, Chuo-ku, Sagamihara, Kanagawa, Japan. 8 Associate Professor, Department of Built Environment, 4259-G3-6, Nagatsuta, Midori-ku, Yokohama, Japan. 9 Associate Professor, Department of Mechanical and Aerospace Engineering, 2-12-1 Ookayama, Meguro-ku, Tokyo, Japan. 10 Visiting Professor, Faculty of Science and Engineering, 55S-608, 3-4-1 Okubo, Shinjyuku, Tokyo, Japan. 11 Professor, JAXA Space Exploration Center, 3-1-1 Yoshinodai, Chuo-ku, Sagamihara, Kanagawa, Japan. 52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 19th 4 7 April 2011, Denver, Colorado AIAA 2011-1890

The phenomenon of indirectly exciting the roll motion of a vessel due to nonlinear couplings of the heave, pitch and roll modes is investigated theoretically and analytically. Two nonlinear mechanisms that cause large-amplitude rolling motions in a head or following sea are investigated. The first mechanism is internal or autoparametric resonance and the second is parametric resonance. The energy put into the pitch and heave modes by the wave excitations may be transferred into the roll mode by means of nonlinear coupling among these modes; thus, the roll can be indirectly excited. As a result, a ship in a head or following sea can spontaneously develop severe rolling motion. In the analytical approach, the method of multiple scales is used to determine a system of nonlinear first-order equations governing the modulation of the amplitudes and phases of the system. The fixed-point solutions of these equations are determined and their bifurcations are investigated. Hopf bifurcations are found in the case of two-to-one internal resonance. Numerical simulations are used to investigate the bifurcations of the ensuing limit cycles and how they produce chaos. Experiments are conducted with tanker and destroyer models. They demonstrate some of the nonlinear effects, such as the jump phenomenon, the subcritical instability, and the coexistence of multiple solutions. The experimental results are in good qualitative agreement with the results predicted theoretically.