36 research outputs found

    A dynamic competition model of regime change

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    The birth of airplane stability theory

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    Airplane stability theory was born at the end of the XIX century and matured around 100 years ago, when airplanes were hardly controllable yet. The success and safety of flights in the pioneer years depended upon largely unknown stability and control characteristics. Understanding the modes of airplane motion has been of paramount importance for the development of aviation. The contributions made by a few scientists in the decades preceding and following the first flight by the Wright brothers set the concepts and equations that, with minor notation aspects, have remained almost unchanged till present day.Magraner Rullan, JP.; Martinez-Val, R. (2014). The birth of airplane stability theory. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering. 228(9):1498-1506. doi:10.1177/0954410013494139S149815062289PERKINS, C. D. (1970). Development of airplane stability and control technology /1970 Von Karman Lecture/. Journal of Aircraft, 7(4), 290-301. doi:10.2514/3.44167Abzug, M. J., & Larrabee, E. E. (2002). Airplane Stability and Control, Second Edition. doi:10.1017/cbo9780511607141Graham, W. R. (1999). Asymptotic analysis of the classical aircraft stability equations. The Aeronautical Journal, 103(1020), 95-103. doi:10.1017/s0001924000027792Bryan, G. H., & Williams, W. E. (1904). The Longitudinal Stability of Aerial Gliders. Proceedings of the Royal Society of London, 73(488-496), 100-116. doi:10.1098/rspl.1904.0017Wegener, P. P. (1997). What Makes Airplanes Fly? doi:10.1007/978-1-4612-2254-5Pradeep, S., & Kamesh, S. (1999). Does the Phugoid Frequency Depend on Speed? Journal of Guidance, Control, and Dynamics, 22(2), 372-373. doi:10.2514/2.4391Phillips, W. F. (2000). Phugoid Approximation for Conventional Airplanes. Journal of Aircraft, 37(1), 30-36. doi:10.2514/2.2586Pamadi, B. N. (2004). Performance, Stability, Dynamics, and Control of Airplanes, Second Edition. doi:10.2514/4.862274Ananthkrishnan, N., & Ramadevi, P. (2002). Consistent Approximations to Aircraft Longitudinal Modes. Journal of Guidance, Control, and Dynamics, 25(4), 820-824. doi:10.2514/2.4952McRuer, D. T., Graham, D., & Ashkenas, I. (1990). Aircraft Dynamics and Automatic Control. doi:10.1515/978140085598

    Current tidal power technologies and their suitability for applications in coastal and marine areas

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    A considerable body of research is currently being performed to quantify available tidal energy resources and to develop efficient devices with which to harness them. This work is naturally focussed on maximising power generation from the most promising sites, and a review of the literature suggests that the potential for smaller scale, local tidal power generation from shallow near-shore sites has not yet been investigated. If such generation is feasible, it could have the potential to provide sustainable electricity for nearby coastal homes and communities as part of a distributed generation strategy, and would benefit from easier installation and maintenance, lower cabling and infrastructure requirements and reduced capital costs when compared with larger scale projects. This article reviews tidal barrages and lagoons, tidal turbines, oscillating hydrofoils and tidal kites to assess their suitability for small-scale electricity generation in shallow waters. This is achieved by discussing the power density, scalability, durability, maintainability, economic potential and environmental impacts of each concept. The performance of each technology in each criterion is scored against axial-flow turbines, allowing for them to be ranked according to their overall suitability. The review suggests that tidal kites and range devices are not suitable for small-scale shallow water applications due to depth and size requirements respectively. Cross-flow turbines appear to be the most suitable technology, as they have high power densities and a maximum size that is not constrained by water depth

    Model selection in historical research using approximate Bayesian computation

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    Formal Models and History Computational models are increasingly being used to study historical dynamics. This new trend, which could be named Model-Based History, makes use of recently published datasets and innovative quantitative methods to improve our understanding of past societies based on their written sources. The extensive use of formal models allows historians to reevaluate hypotheses formulated decades ago and still subject to debate due to the lack of an adequate quantitative framework. The initiative has the potential to transform the discipline if it solves the challenges posed by the study of historical dynamics. These difficulties are based on the complexities of modelling social interaction, and the methodological issues raised by the evaluation of formal models against data with low sample size, high variance and strong fragmentation. This work examines an alternate approach to this evaluation based on a Bayesian-inspired model selection method. The validity of the classical Lanchester's laws of combat is examined against a dataset comprising over a thousand battles spanning 300 years. Four variations of the basic equations are discussed, including the three most common formulations (linear, squared, and logarithmic) and a new variant introducing fatigue. Approximate Bayesian Computation is then used to infer both parameter values and model selection via Bayes Factors. Results indicate decisive evidence favouring the new fatigue model. The interpretation of both parameter estimations and model selection provides new insights into the factors guiding the evolution of warfare. At a methodological level, the case study shows how model selection methods can be used to guide historical research through the comparison between existing hypotheses and empirical evidence.Funding for this work was provided by the SimulPast Consolider Ingenio project (CSD2010-00034) of the former Ministry for Science and Innovation of the Spanish Government and the European Research Council Advanced Grant EPNet (340828).Peer ReviewedPostprint (published version

    Aviation Mathematical and Otherwise 1

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    War-Gaming Simulations

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    Lanchester’s Equations

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    Modern AĂ«ronautics 1

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