Aeroelasticity of the PrandtlPlane: Body Freedom Flutter, Freeplay, and Limit Cycle Oscillation

Cavallaro, Rauno; Bombardieri, Rocco; Silvani, Simone; Demasi, Luciano; Bernardini, Giovanni

doi:10.1007/978-3-319-45680-5_3

Cited by 9 publications

(8 citation statements)

References 18 publications

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“…The fact that the Best Wing System is asymptotically equivalent to a infty-plane was known. 5 As stated before, Pistolesi provides some evidences [25,26].…”

Section: Discussionmentioning

confidence: 99%

“…Multiplane interest has been growing up in the last 20 years, as the large variety of scientific contributions show [1,3,5,6,10,16,17,19]. The renewed interest in such an aircraft architecture has been boosted by the new challenges the aeronautical world is facing, because of increments in the worldwide air traffic and of stricter regulations about noise and pollution.…”

Section: Introductionmentioning

confidence: 99%

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A Simple Model for Minimum Induced Drag of Multiplanes: Could Prandtl Do the Same?

Scardaoni

2020

Aerotec. Missili Spaz.

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In a famous report about the induced drag of multiplanes, L. Prandtl conceived the Best Wing System: the lifting system having the minimum induced drag among all the other ones, for assigned wingspan and lift. The resulting shape was a boxwing, asymptotically equivalent to a multiplane having infinite wings. At the end of the report, he gave the performance of this optimal lifting system (in terms of dimensionless induced drag and vertical gap) through a curve, without presenting the method he used. Nowadays, modern computational aerodynamics show an excellent agreement between the numerical results and Prandtl's prevision. The first part of the paper aims at clarifying which method Prandtl used for the Best Wing System only. In the second part of the paper, starting from Prandtl's different approach for the biplane and triplane problem, we propose a simple model for the evaluation of the induced drag of multiplanes, using notions an aerodynamicist of 1920s likely had. We show that the limit multiplane having infinitely many wings, under the ansatz of elliptic lift distribution on the outermost wings and constant lift distribution on the innermost ones, matches the Best Wing System curve. This leads to a simple but interesting interpretation of the actual results.

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“…The fact that the Best Wing System is asymptotically equivalent to a infty-plane was known. 5 As stated before, Pistolesi provides some evidences [25,26].…”

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Simple Model for Minimum Induced Drag of Multiplanes: Could Prandtl Do the Same?

Scardaoni

2020

Aerotec. Missili Spaz.

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“…Since flutter constraint was found to introduce a penalty in terms of weight, a more detailed study was devoted to this topic in works [104,105]. Later, collaborative researches with a partner university extended the analysis considering also free-flying model and freeplay of control surfaces [30,57,58].…”

Section: Medium-size Civil Transport Prandtlplane Aircraftmentioning

confidence: 99%

Challenges, Ideas, and Innovations of Joined-Wing Configurations: A Concept from the Past, an Opportunity for the Future

Cavallaro

Demasi

2016

Progress in Aerospace Sciences

Self Cite

122

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“…Moreover, a structural optimisation of the spars of an ultra-light PrP seaplane has been recently presented in [7,8]. Paradoxically, in the literature there are more works about PrP aeroelasticity aspects (including non-linear ones) [4,[9][10][11][12][13], than works focusing on general structural behaviour of the PrP.…”

Section: Introductionmentioning

confidence: 99%

PrandtlPlane wing-box least-weight design: A multi-scale optimisation approach

Scardaoni

Montemurro

Panettieri

2020

Aerospace Science and Technology

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The PrandtlPlane (PrP) aircraft wing-box least-weight design is presented in this work. This design problem is formulated as a constrained non-linear programming problem (CNLPP), by integrating static, buckling, fatigue and manufacturability requirements, under different loading conditions. The solution search is carried out by means of a suitable multi-scale optimisation (MSO) approach. The physical responses involved into the CNLPP formulation are evaluated at the wing-box architecture level (macroscopic scale) and at the stiffened panel level (component scale), as well. The scale transition is ensured by means of a suitable global-local (GL) modelling approach, while the CNLPP is solved by means of an in-house genetic algorithm. The effectiveness of the proposed approach is tested on the PrP wing-box structure, but the presented strategy can be easily extended to conventional aircraft wings.

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Aeroelasticity of the PrandtlPlane: Body Freedom Flutter, Freeplay, and Limit Cycle Oscillation

Cited by 9 publications

References 18 publications

A Simple Model for Minimum Induced Drag of Multiplanes: Could Prandtl Do the Same?

A Simple Model for Minimum Induced Drag of Multiplanes: Could Prandtl Do the Same?

Challenges, Ideas, and Innovations of Joined-Wing Configurations: A Concept from the Past, an Opportunity for the Future

PrandtlPlane wing-box least-weight design: A multi-scale optimisation approach

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