Abstract
Aeroelasticity of PrandtlPlane configurations is a yet unexplored field. The overconstrained structural system and the mutual aerodynamic interference of the wings enhance the complexity of the aeroelastic response. In this work the aeroelastic behavior of several models based on wing system of 250-seat PrandtlPlane design is studied. When an aluminum version of the structure is considered, flutter is associated with a coalescence of the first two elastic modes, the first being characterized by a classic upward bending of both wings, and the second one being associated with an out-of-phase bending of the two wings and tilting of the lateral joint. Analyses show that energy is injected in the structure mainly at the tip of the front wing, close to the aileron. Effects of freeplay of mobile surfaces are evaluated, showing how, in some cases, an increase in the flutter speed is observed. When flutter analyses are repeated considering the configuration free to pitch and plunge, flutter speed does increase due to a particular interaction between rigid-body pitching and elastic modes. Several of the above findings are demonstrated on more detailed structural models considering also the local stiffness distribution, and taking also into consideration compressibility effects. When composite materials are employed, flutter issues are completely overcome.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Frediani, A., Cipolla, V., Rizzo, E.: The PrandtlPlane configuration: overview on possible applications to civil aviation. In: Buttazzo, G., Frediani, A. (eds.) Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design. Springer Optimization and Its Applications, vol. 66, pp. 179–210. Springer US, New York (2012). doi:10.1007/978-1-4614-2435-2_8
Cavallaro, R., Demasi, L.: Challenges, ideas, and innovations of joined-wing configurations: a concept from the past, an opportunity for the future. Prog. Aerosp. Sci. (2016, accepted for publication)
Prandtl, L.: Induced drag of multiplanes. Technical Report TN 182, NACA, March 1924, reproduction of Der induzierte Widerstand von Mehrdeckern. Technische Ber. 3, pp. 309–315 (1918)
Demasi, L., Monegato, G., Dipace, A., Cavallaro, R.: Minimum induced drag theorems for joined wings, closed systems, and generic biwings: theory. J. Optim. Theory Appl. 1–36 (2015)
Frediani, A., Montanari, G.: Best wing system: an exact solution of the Prandtl’s problem. In: Variational Analysis and Aerospace Engineering. Springer Optimization and Its Applications, vol. 33, pp. 183–211. Springer, New York (2009)
Demasi, L., Monegato, G., Cavallaro, R.: Minimum induced drag theorems for multi-wing systems. In: 57th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, No. AIAA 2016-0236. AIAA SciTech, San Diego, CA (2016)
Demasi, L., Monegato, G., Cavallaro, R.: Minimum induced drag theorems for nonplanar systems and closed wings. In: Frediani, A. (ed.) Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design. Springer Optimization and Its Applications. Springer US, New York (2016, to appear)
Munk, M.: Isoperimetrische Aufgaben aus der Theorie des Fluges. Dieterichsche Universitäts-Buchdruckerei, Göttingen (1919)
Munk, M.: The minimum induced drag of aerofoils. Report 121, NASA (1923)
Bernardini, G.: Problematiche aerodinamiche relative alla progettazione di configurazioni innovative. Ph.D. thesis, Politecnico di Milano (1999)
Bernardini, G., Frediani, A., Morino, L.: Aerodynamics for MDO of an innovative configuration. In: Research and Technology Organization, No. RTO Meeting Proceedings 35. RTO AVT Symposium on Aerodynamic Design and Optimisation of Flight Vehicles in a Concurrent Multi-Disciplinary Environment. Symposium of the Applied Vehicle Technology Panel, Ottawa (1999)
Cavallaro, R., Nardini, M., Demasi, L.: Amphibious PrandtlPlane: preliminary design aspects including propellers integration and ground effect. In: 2th SciTech2015, No. AIAA-2015-1185. Kissimmee, FL (2015)
Cavallaro, R., Iannelli, A., Demasi, L., Razón, A.M.: Phenomenology of nonlinear aeroelastic responses of highly deformable joined wings. Adv. Aircr. Spacecr. Sci. 2 (2), 125–168 (2015)
Frediani, A., Gasperini, M., Saporito, G., Rimondi, A.: Development of a PrandtlPlane aircraft configuration. In: XVII Congresso Nazionale AIDAA (17th National Congress AIDAA), Roma, pp. 2089–2104 (2003)
Gagnon, H., Zingg, D.W.: Aerodynamic optimization trade study of a box-wing aircraft configuration. In: AIAA SciTech, 56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, No. AIAA2015-0695 (2015)
Gall, P.D., Smith, H.C.: Aerodynamic characteristics of biplanes with winglets. J. Aircr. 24 (8), 518–522 (1987)
Chiocchia., G., Iuso, G., Carrera, E., Frediani, A.: A wind tunnel model of a ULM configuration of Prandt plane: design, manufacturing and aerodynamic testing. In: XVII Congresso Nazionale AIDAA (17th National Congress AIDAA), Rome, pp. 2089–2104 (2003)
Cipolla, V., Frediani, A., Oliviero, F., Gibertini, G.: Ultralight amphibious PrandPrandtl: wind tunnel tests. In: XXII Conference, Italian Association of Aeronautics and Astronautics, Napoli (2013)
Lange, R.H., Cahill, J.F., Bradley, E.S., Eudaily, R.R., Jenness, C.M., Macwilkinson, D.G.: Feasibility study of the transonic biplane concept for transport aircraft applications. NASA CR–132462. Lockheed-Georgia Company, Marietta, GA (1974)
Frediani, A., Rizzo, E., Bottoni, C., Scanu, J., Iezzi, G.: A 250 passenger PrandtlPlane transport aircraft preliminary design. Aerotecnica Missili e Spazio (AIDAA) 84 (2005)
Dal Canto, D., Frediani, A., Ghiringhelli, G.L., Terraneo, M.: The lifting system of a PrandtlPlane, Part 1: design and analysis of a light alloy structural solution. In: Buttazzo, G., Frediani, A. (eds.) Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design. Springer Optimization and Its Applications, vol. 66, pp. 211–234. Springer US, New York (2012). doi:10.1007/978-1-4614-2435-2_9
Voskuijl, M., Klerk, J., Ginneken, D.: Flight mechanics modeling of the PrandtlPlane for conceptual and preliminary design. In: Buttazzo, G., Frediani, A. (eds.) Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design. Springer Optimization and Its Applications, pp. 435–462. Springer US, New York (2012)
Dimartino, C., Baldini, M.: Analisi agli elementi finiti di un tronco di fusoliera di un velivolo PrandtlPlane sottoposto a carichi limite di pressurizzazione e di massa. Master’s thesis, Universitä di Pisa (2009)
Bombardieri, R., Cavallaro, R., Demasi, L.: A historical perspective on the aeroelasticity of box wings and PrandtlPlane with new findings. In: 57th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, No. AIAA 2016-0238. AIAA SciTech, San Diego, CA (2016)
Dal Canto, D.: Progetto preliminare del cassone alare di un velivolo di tipo Prandtl-Plane mediante l’applicazione di un metodo di ottimizzazione strutturale. Master’s thesis, Dipartimento di Ingegneria Aerospaziale, Universitä di Pisa (2009). Advisor: A. Frediani
Divoux, N., Frediani, A.: The lifting system of a PrandtlPlane, Part 2: Preliminary study on flutter characteristics. In: Buttazzo, G., Frediani, A. (eds.) Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design. Springer Optimization and Its Applications, vol. 66, pp. 235–267. Springer US, New York (2012). doi:10.1007/978-1-4614-2435-2_10
Divoux, N.: Preliminary study on flutter characteristics of a PrandtlPlane aircraft. Master’s thesis, TU Delft (2008)
Cavallaro, R., Bombardieri, R., Demasi, L., Iannelli, A.: PrandtlPlane joined wing: body freedom flutter, limit cycle oscillation and freeplay studies. J. Fluids Struct. 59, 57–84 (2015)
Frediani, A., Quattrone, F., Contini, F.: The lifting system of a PrandtlPlane, Part 3: structures made in composites. In: Buttazzo, G., Frediani, A. (eds.) Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design. Springer Optimization and Its Applications, vol. 66, pp. 269–288. Springer US, New York (2012). doi:10.1007/978-1-4614-2435-2_11
Bombardieri, R.: PrandtlPlane joined wing: body freedom flutter, limit cycle oscillation and freeplay studies. Master’s thesis, Dipartimento di Ingegneria Aerospaziale, Univerisitä di Pisa (2015). Advisors: Aldo Frediani, Luciano Demasi and Rauno Cavallaro
Silvani, S.: Aeroelastic analysis of PrandtlPlane joined wings configuration. Master’s thesis, Universitä degli Studi di Roma 3 (2015)
Rodden, W.P., Johnson, E.H.: User Guide V 68 MSC/NASTRAN Aeroelastic Analysis. MacNeal-Schwendler Corporation, Newport Beach, CA (1994)
Cavallaro, R., Iannelli, A., Demasi, L., Razón, A.M.: Phenomenology of nonlinear aeroelastic responses of highly deformable joined-wings configurations. In: 55th AIAA/ASMe/ASCE/AHS/SC Structures, Structural Dynamics, and Materials Conference, No. AIAA 2014-1199. AIAA Science and Technology Forum and Exposition (SciTech2014) National Harbor, MD (2014)
Bottoni, C., Scanu, J.: Preliminary design of a 250 passenger PrandtlPlane aircraft. Master’s thesis, University of Pisa (2004)
Ginneken, D.A.J., Voskuijl, M., Van Tooren, M.J.L., Frediani, A.: Automated control surface design and sizing for the PrandtlPlane. In: 51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics & Materials Conference, No. AIAA 2010-3060, Orlando, FL (2010)
Ginneken, D.V.: Automated control surface design and sizing for the PrandtlPlane. Master’s thesis, TU Delft (2009)
Chipman, R., Rauch, F., Rimer, M., Muñiz, B.: Body-freedom flutter of a 1/2 scale forward-swept-wing model, an experimental and analytical Study. Contract Report NASA CR-172324, NASA, Grumman Aerospace Corporation, April 1984
Love, M.H., Zink, P.S., Wieselmann, P.A., Youngren, H.: Body freedom flutter of high aspect ratio flying wings. In: 46th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Material Conference, No. AIAA 2005-1947, Austin, TX (2005)
Quattrone, F., Contini, F.: Preliminary design and FEM analysis of a new conception non-standard wing structure: the PrandtlPlane 250 wing structure. Master’s thesis, Dipartimento di Ingegneria Aerospaziale, Universitä di Pisa (2010)
Torenbeek, E.: Synthesis of Subsonic Airplane Design: An Introduction to the Preliminary Design of Subsonic General Aviation and Transport Aircraft, with Emphasis on Layout, Aerodynamic Design, Propulsion and Performance. Springer Netherlands, Dordrecht (1982)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Cavallaro, R., Bombardieri, R., Silvani, S., Demasi, L., Bernardini, G. (2016). Aeroelasticity of the PrandtlPlane: Body Freedom Flutter, Freeplay, and Limit Cycle Oscillation. In: Frediani, A., Mohammadi, B., Pironneau, O., Cipolla, V. (eds) Variational Analysis and Aerospace Engineering. Springer Optimization and Its Applications, vol 116. Springer, Cham. https://doi.org/10.1007/978-3-319-45680-5_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-45680-5_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-45679-9
Online ISBN: 978-3-319-45680-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)