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Decomposition of Mathematical Programming Models for aircraft wing design Facilitating the Use of Dynamic Programming Approach

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American Journal of Operations Research 2023年第5期13卷 111-131页

作者： Prashant K. Tarun Herbert W. Corley Steven L. Craig School of Business Missouri Western State University St. Joseph Missouri USA Department of Industrial Manufacturing & Systems Engineering University of Texas at Arlington Arlington Texas USA

aircraft designers strive to achieve optimal weight-reliability tradeoffs while designing an aircraft. Since aircraft wing skins account for more than fifty percent of their structural weight, aircraft wings must be designed with utmost care and attention in terms of material types and thickness configurations. In particular, the selection of thickness at each location of the aircraft wing skin is the most consequential task for aircraft designers. To accomplish this, we present discrete mathematical programming models to obtain optimal thicknesses either to minimize weight or to maximize reliability. We present theoretical results for the decomposition of these discrete mathematical programming models to reduce computer memory requirements and facilitate the use of dynamic programming for design purposes. In particular, a decomposed version of the weight minimization problem is solved for an aircraft wing with thirty locations (or panels) and fourteen thickness choices for each location to yield an optimal minimum weight design.

关键词： aircraft wing design Maximum Reliability design Minimum Weight design Dynamic Programming Optimization Decomposition

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A Dynamic Programming Approach to the design of Composite aircraft wings

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American Journal of Operations Research 2022年第5期12卷 194-207页

作者： Prashant K. Tarun Herbert W. Corley Steven L. Craig School of Business Missouri Western State University St. Joseph USA Department of Industrial Manufacturing & Systems Engineering University of Texas at Arlington Arlington USA

A light and reliable aircraft has been the major goal of aircraft designers. It is imperative to design the aircraft wing skins as efficiently as possible since the wing skins comprise more than fifty percent of the structural weight of the aircraft wing. The aircraft wing skin consists of many different types of material and thickness configurations at various locations. Selecting a thickness for each location is perhaps the most significant design task. In this paper, we formulate discrete mathematical programming models to determine the optimal thicknesses for three different criteria: maximize reliability, minimize weight, and achieve a trade-off between maximizing reliability and minimizing weight. These three model formulations are generalized discrete resource-allocation problems, which lend themselves well to the dynamic programming approach. Consequently, we use the dynamic programming method to solve these model formulations. To illustrate our approach, an example is solved in which dynamic programming yields a minimum weight design as well as a trade-off curve for weight versus reliability for an aircraft wing with thirty locations (or panels) and fourteen thickness choices for each location.

关键词： aircraft wing design Maximum Reliability design Minimum Weight design Dynamic Programming Multiple Objective Optimization Pareto Optimality

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Introduction to Aeronautics 2nd ed.

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丛书名： AIAA Education Series

2004年

作者： Steven A. Brandt John J. Bertin Randall J. Stiles Ray Whitford

ISBN: (数字)9781600862007

ISBN: (纸本)9781563477010

The most exciting moment for an aeronautical engineer is when his or her design becomes a working aircraft, the endpoint of a journey that begins in the classroom. This textbook provides the resources that students need to understand the methods and thought processes involved in designing aircraft. Students learn through the use of specific analytical principles, practical examples, case studies, and corresponding problems to solve. The material in this textbook and AeroDYNAMIC 3.0 software (purchased separately) is sufficient to support a university-level course of three to six semester hours. At the U.S. Air Force Academy (USAFA), Chapters 1-6 are used in a three-semester-hour course taught to the entire student body. The material in Chapters 7-10 is taught at USAFA in later courses taken only by aeronautical engineering majors.For professors, this textbook comes complete with end-of-chapter homework problems that provide a summary of the concepts and features contained in the chapters. The problems provide students with an excellent opportunity to analyze and synthesize industry examples, ensuring they understand the key concepts and their applications. A Windows-based software package on DVD (purchased separately), entitled AeroDYNAMIC, provides a single integrated package with one universal user interface providing access to virtual laboratories, simulations, and design synthesis and analysis software based on the methods presented in the text.

关键词： aircraft Components and Structure aircraft design aircraft Operations and Technology aircraft Stability and Control aircraft wing Components aircraft wing design aircrafts Airfoil Airfoil Nomenclature Flight Control Surfaces wing Configurations wing Planforms

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Flight Vehicle Performance and Aerodynamic Control

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丛书名： AIAA Education Series

2001年

作者： Frederick O. Smetana

ISBN: (数字)9781600861857

ISBN: (纸本)9781563474637

Flight Vehicle Performance and Aerodynamic Control is designed to serve as a text for either an 11-week or a 16-week course at the sophomore level. It explains typical methods used to estimate aircraft performance, the theoretical basis of these methods, and how various parameters derived from the aircraft geometry can be used to estimate the requirements of control surfaces and the aerodynamic forces required to actuate these surfaces. This book includes time-tested computer programs that perform the analyses in a manner that reduces student error and improves result accuracy. Because the source code is given, users with a FORTRAN compiler can modify the program to suit particular needs. The major advantage of the software is that more realistic problems may be treated and the effects of parametric programs are more accurate than calculators. The programs are available as executables for Windows machines as well as in ASCII source code versions that can be readily compiled and then executed on Unix, Linux, and Macintosh machines, and on mainframes.

关键词： Aerodynamic Performance Aerodynamics Aeronautical Engineering Aeronautics Aerospace Engineering Aerospace Sciences aircraft Carriers aircraft Components and Structure aircraft Conceptual design aircraft design aircraft Dynamic Modes aircraft Engines aircraft Instruments aircraft Operations aircraft Operations and Technology aircraft Performance aircraft Stability and Control aircraft Stabilizer aircraft wing Components aircraft wing design aircrafts Airfoil Airfoil Nomenclature Airspeed Astrodynamics Astronautics Atmospheric Science Aviation Aviation Authorities and Organizations Aviation Safety Avionics Civil Aviation Combat aircraft Combustion Chambers Compressors Energy Energy Conversion Energy Economics Energy Forms Energy Forms, Production and Conversion Energy Production Fixed-wing aircraft Flight Control Surfaces Flight Dynamics Flight Mechanics Flight Test Flight Training Fluid Dynamics Fluid Flow Properties Fluid Mechanics Fossil Fuels Fuel Injection Fuels Gas Turbine Guidance, Navigation, and Control Systems Heat Engines Helicopters Hydraulics Hydrodynamics Ignition Systems Jet aircraft Liquid Fuels Longitudinal Static Stability Military Airbases Military aircraft Military Aviation Non-Renewable Energy Petroleum Power Station Propulsion and Power Reciprocating Engine Rocket Engine Rocketry Rotorcrafts Sensors Short Takeoff and Landing Takeoff and Landing Transducers Turbines Turbomachinery Unmanned Aerial Vehicle Wind Engineering Wind Tunnels Wind Turbine wing Configurations wing Planforms

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The Fundamentals of aircraft Combat Survivability: Analysis and design, 2nd Edition 2nd ed.

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丛书名： AIAA Education Series

2003年

作者： Robert E. Ball

ISBN: (数字)9781600862519

ISBN: (纸本)9781563475825

Winner of the Summerfield Book Award!aircraft combat survivability is now an established design discipline for U.S. military aircraft. More importantly, survivability is now an essential part of the U.S. Department of Defense acquisition process. This is the only book of its kind and required reading for anyone involved in design of air combat vehicles. Further, improving public health, safety, and survivability is now woven throughout the civil and commercial sector. From infant car seats to the design of aircraft cargo bay structure that can withstand internal bomb blasts, the government is taking the lead in establishing survivability standards. This is an extensively illustrated text that presents the fundamentals of the aircraft combat survivability design discipline as defined by the DoD Military Standard issued in 1981. It provides the history of, the concepts for, and the assessment methodology and the design technology for the nonnuclear combat survivability analysis and design of fixed and rotary wing aircraft and missiles. Of critical interest to anyone involved in the design and development of military aircraft or airborne weapon systems, the book also will be useful to weapon system effectiveness analysts.The Fundamentals of aircraft Combat Survivability: Analysis and design on CD-ROM is included with your purchase of the hardcover. The CD-ROM gives you the portability and searchability that you need in your busy environment. It is considerably smaller and lighter than the textbook so it is available when you are away from the office or traveling. It can also be searched to quickly locate a particular word or phrase.

关键词： Aeronautics Air Forces aircraft Components and Structure aircraft Conceptual design aircraft Control aircraft design aircraft Flight Control System aircraft Fuel System aircraft Instruments aircraft Operations aircraft Operations and Technology aircraft Performance aircraft Stability and Control aircraft Stabilizer aircraft wing design aircrafts Aircrew Artillery Systems Auxiliary Power Unit Aviation Aviation Communication Aviation Publications Ballistics Civil aircraft Civil Aviation Combat aircraft Commercial Aviation Communication System Computing, Information, and Communication Electrodynamics Electromagnetic Radiation Electromagnetism Emergency Landing Fixed-wing aircraft Flight Control Surfaces Flight Display Systems Fuel Management System General Physics Helicopters Military aircraft Military Aviation Military Helicopter Military Science Military Technology Missile Systems, Dynamics and Technology Projectiles RADAR Rotorcrafts Short Takeoff and Landing Stealth aircraft Takeoff and Landing Unmanned Aerial Vehicle Vertical Takeoff and Landing Weapon Systems

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