George Hartley Bryan
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George Hartley Bryan FRS (1 March 1864 – 13 October 1928) was an English applied mathematician who was an authority on thermodynamics and
aeronautics Aeronautics is the science or art involved with the study, design, and manufacturing of air flight–capable machines, and the techniques of operating aircraft and rockets within the atmosphere. The British Royal Aeronautical Society identifies ...
. He was born in Cambridge, and was educated at
Peterhouse, Cambridge Peterhouse is the oldest constituent college of the University of Cambridge in England, founded in 1284 by Hugh de Balsham, Bishop of Ely. Today, Peterhouse has 254 undergraduates, 116 full-time graduate students and 54 fellows. It is quite ...
, obtaining his BA in 1886 (as 5th wrangler), MA in 1890, and DSc in 1896. He was a professor at University College of North Wales, and is generally credited with developing the modern mathematical treatment of the motion of airplanes in flight as rigid bodies with six
degrees of freedom Degrees of freedom (often abbreviated df or DOF) refers to the number of independent variables or parameters of a thermodynamic system. In various scientific fields, the word "freedom" is used to describe the limits to which physical movement or ...
. Aside from minor differences in notation, Bryan's 1911 equations are the same as those used today to evaluate modern aircraft. (Perhaps surprisingly, Bryan's equations—published just eight years after the first aircraft flew—are most accurate when applied to
supersonic Supersonic speed is the speed of an object that exceeds the speed of sound ( Mach 1). For objects traveling in dry air of a temperature of 20 °C (68 °F) at sea level, this speed is approximately . Speeds greater than five times ...
jets.) In evaluating aircraft mathematically, Bryan focused on issues of aerodynamic stability rather than on control; stability and control of an aircraft tend to lie on opposite ends of the same spectrum. Bryan's aeronautic results were an extension of his earlier work in
fluid dynamics In physics and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids— liquids and gases. It has several subdisciplines, including ''aerodynamics'' (the study of air and other gases in motion) an ...
. In 1888, Bryan developed mathematical models for fluid pressures within a pipe and for external buckling pressures. These models are still used today.


Childhood and education

Bryan was born on 1 March 1864 in Cambridge and within a year, his father had died; he was brought up by his mother and the extended family. The family spent much of their time in France and Italy and Bryan was home schooled throughout his childhood. He was accepted at
Peterhouse, Cambridge Peterhouse is the oldest constituent college of the University of Cambridge in England, founded in 1284 by Hugh de Balsham, Bishop of Ely. Today, Peterhouse has 254 undergraduates, 116 full-time graduate students and 54 fellows. It is quite ...
, travelling from his home every day. Having graduated in mathematics, he was awarded a scholarship by his college which enabled him to carry on with his academic work at Peterhouse for some years afterwards, specializing in applying mathematics to thermodynamics analysis.


His work

In 1890, Bryan discovered the so-called " wave inertia effect" in axi-symmetric thin elastic shells. This effect is the theoretical basis for modern solid-state gyroscopy using
hemispherical A sphere () is a Geometry, geometrical object that is a solid geometry, three-dimensional analogue to a two-dimensional circle. A sphere is the Locus (mathematics), set of points that are all at the same distance from a given point in three ...
or "wine-glass" resonators, which were elaborated b
Dr. David D. Lynch, ''et al.''
almost a century after Bryan's original discovery. These novel, precise sensors are now developed in the United States, Ukraine, Singapore, Republic of Korea, France, RF, South Africa, and mainland China. They are used for satellite guidance systems, among other applications. He was appointed as a lecturer at Bangor University in 1896, and within a few months, at 32 years old, he was appointed Chair of Pure and Applied Mathematics. In 1911, a year after the Wright brothers' successful flight, he published ''Stability in Aviation'' (Macmillan). Bryan's seismologic studies of Coriolis effects in massive liquid spheres have received experimental confirmation from data collected by seismologic stations set up to detect nuclear explosions in the aftermath of World War II, as well as from seismographic data from the Great Chilean earthquake of 1960. He died in Bordighera, Italy, aged 64.


Awards and honors

He was elected a Fellow of the Royal Society in June 1895. He was a Gold medallist of the Institution of Naval Architects (1901), President of the Mathematical Association (1907), and a Gold medallist of the Aeronautical Society (1914).George Hartley Bryan
Cambridge University Alumni, 1261–1900


Bibliography

* T. J. M. Boyd, ''George Hartley Bryan: prophet without honour?'' (Colchester, 2017). * * ''Stability in Aviation'' (1911). * Bryan G.H. On the Beats in the Vibrations of a Revolving Cylinder or Bell ''//Proc. of Cambridge Phil. Soc. 1890, Nov. 24. Vol.VII. Pt.III. pp. 101–111.'' * Bryan G.H. Stability in Aviation. – Macmillan. 1911
Online Version
(This is the original book scanned by Google Books). * Love A.E.H. GEORGE HARTLEY BRYAN ''//Journal of the London Mathematical Society. 1929. 1–4(3). – pp .238–240.'' *Abzug, Malcolm J. and Larrabee, E. Eugene, ''Airplane Stability and Control, Second Edition: A History of Technologies that Made Aviation Possible'', Cambridge University Press, 2002
Online version
*Hunsaker, Jerome C. ''Dynamic Stability of Aeroplanes'', US Navy and Massachusetts Institute of Technology, 191
Online version
(This text validates experimentally Bryan's mathematical theories). * Lynch D.D. HRG Development at Delco, Litton, and Northrop Grumman ''//Proceedings of Anniversary Workshop on Solid-State Gyroscopy (19–21 May 2008. Yalta, Ukraine). – Kyiv-Kharkiv. ATS of Ukraine. 2009.'' . * Sarapuloff S.A. 15 Years of Solid-State Gyrodynamics Development in the USSR and Ukraine: Results and Perspectives of Applied Theory ''//Proc. of the National Technical Meeting of US Institute of Navigation (ION) (Santa Monica, Calif., USA. January 14–16, 1997). – pp. 151–164.''


References

{{DEFAULTSORT:Bryan, George H. 1864 births 1928 deaths Alumni of Peterhouse, Cambridge Academics of Bangor University British aerospace engineers Welsh mathematicians Fellows of the Royal Society