Bibliography of Maurice A. Biot
- Mathematical Methods in Engineering
(co-author Th. von Karman), McGraw-Hill Book Company, Inc., 505 pp.,
New York and London, 1940.
[Foreign translations have been published in the following languages:
French, Spanish, Portuguese, Russian, Turkish, Japanese, Polish, Hungarian,
- Mechanics of Incremental Deformations, John
Wiley & Sons, Inc., New York, 1965.
[Theory of elasticity and viscoelasticity of initially stressed solids
and fluids, including thermodynamic foundations and applications to
- Variational Principles in Heat Transfer, Oxford
University Press, 1970.
[A unified Lagrangian analysis of dissipative phenomena.]
here for the Scientific Articles>
Aeronautical Laboratory, California Institute
- No. 1. Vibration analysis of a wing carrying
large concentrated weights. M. A. Biot, August 1941.
- No. 2. Flutter analysis of a wing carrying
large concentrated weights. M. A. Biot, January 1942.
- No. 3. Electric network model of flexure torsion
flutter. M. A. Biot and T. H. Wiancko, September 1941.
- No. 4. Flutter analysis of the B-24 C Twin
Tail. M. A. Biot, August 1942.
- No. 5. Aerodynamic theory of the oscillating
wing of finite Span. M. A. Biot and C.T. Boehnlein, September 1942.
- No. 6. Three dimensional aerodynamic theory
applied to flutter analysis. M. A. Biot, December 1942.
- No. 7. Theory of electrical flutter predictor
for three degrees of freedom. M. A. Biot and T. H. Wiancko, January
Cornell Aeronautical Laboratory
- Report 1. Chordwise divergence. The two-dimensional
case. CAL/CM-427, December 1947.
- Report 2. An approximate treatment of some
simple three-dimensional cases. CAL/CM-470, May 1948.
- Report 3. General method for the two-dimensional
case. CAL/CM-506, September 1948.
- Report 4. Some exact solutions based on plate
theory. CAL/CM-580, November 1949.
- Report 5. Stability of cantilever solid wings
of symmetric cross-section and without sweep. CAL/CM-622, May 1950.
- Report 6. Solution of the divergence problem
by the use of generalized co-ordinates. CAL/CM-730, March 1952.
- New expressions for the output of an FM Receiver
with application to problems of interference (with S. Kaufman) CAL
Rep. BE-745-T-134, August 1956.
U. S. Air Force Office of Scientific
Research & Development
- Dynamic stability of bombs and projectiles.
NDRC Div. A. Sect. C, OSRD Contract OEMsr - 418, California Institute
- Chapter I. Forces on a solid moving through an
ideal fluid. July 1942.
- Chapter II. Stability derivatives in a real fluid.
- Chapter III. Stability of the rectilinear trajectory
in air and water neglecting gravity. September 1942.
- Chapter IV. Stability of the vertical fall. May
- The mechanism of water entry of projectiles.
NDRC Div. A Sect. C, OSRD Contract OEMsr - 418, California Institute
of Technology, September 1943.
United States Air Force
- Aerodynamics of the oscillating airfoil in
compressible flow (with S. N. Karp, S. S. Shu, H. Weil).
- I. Theory. USAF Tech. Rep. F-TR-1167-ND
- II. Graphical and numerical data. USAF Tech. Rep. F-TR-1195-NC (CDAM
A-9-M Brown University).
- Investigation of aileron compressibility flutter
(with Lee Arnold), USAF-AMC Wright Patterson AF Base, AF Tech. Rpt.
No. 6341, August 1950 (declassified).
- Theory of armor penetration (with Lee Arnold),
Contract DA-30-069- ORD-33, ballistic research laboratories, ordnance
cors, Department of the Army.
- Report no. 1, February 1951.
- Report no. 2, January 1952.
- Report no. 3, January 1953.
- Short course for professors of mathematics
and science, University College, London. "The function of mathematics
in our civilization." April 1958, printed by Shell Development
Patents (in Belgium,
France, and the United States)
- Linkage mechanism for steering of vehicles,
Belgian patent 368, 623, March 15, 1930.
[A linkage system which provides an exact kinematic solution to the
problem of differential turning of the wheels for steering of automobiles
and other vehicles.]
- Radio guidance system for ships and aircraft,
Belgian patent 372, 520, August 11, 1930.
[(Dispositif emetteur recepteur realisant le reperage radioelectrique
integral sans ondes dirigees.) The principle was described by M. A.
Biot in a paper "Sur un procede de guidage des avions" published
in l'Onde Electrique, vol. 9, no. 107, pp. 520-526, November 1930.
Low frequency radio waves are transmitted from a main transmitter
and its slave stations on synchronized frequencies. The transmitters
are located about a hundred miles apart and the radio waves form a
precise grid pattern of interference and phase difference. It provides
an all-weather flight position picture for aircraft, sea-going ships,
etc. The principle has received wide application and has been incorporated
in the Bendix-Decca system now used throughout the world. Other trade
names for these systems are Dectra, Delrac, and Navarho.]
- Electrical synchronization of gun firing, through
aircraft propeller disc, Belgian patent 37B, 042, March 16, 1931.
[Achievement of precise synchronization in the firing of guns and
machine guns through aircraft propeller disc by substituting an electrical
firing system for the mechanical one.]
- Aircraft turbo-compound engine, French patent
808, 770, November 4, 1935.
[An aircraft engine combining a piston engine and a two-stage gas
turbine. The patent claims are based on a detailed design carried
out over a number of years in collaboration with L. Lvoff, director
of "La Precision" in Brussels and now chief engineer of
the Machine Tool Division of "La Brugeoise," Belgium. Specific
weight and fuel consumption were predicted and fully confirmed by
recent development. The principle was incorporated in the Wright Aeronautical
compound engine. The invention was disclosed to technical and executive
personnel of Wright Aeronautical and discussed at their Patterson,
New Jersey, plant in June 1936.]
- Flutter predicting apparatus, Maurice A. Biot
and Thomas H. Wiancko, U.S. Patent Office 2448698, September 7, 1948.
Application, October 21, 1944.
[Electronic analog computer for the prediction of airplane flutter.
An important novel feature was the design of a circuit which incorporates
the effect of vorticity shedding of an oscillating wing.]
- Hydraulic fracturing method to control vertical
fracture height, J. L. Fitch, L. Masse, W. L. Medlin, M. A. Biot U.S.
patent office 3851709, December 3, 1974.
[Method of controlling height of fracture so that it does not extend
vertically into adjacent formations on top and bottom.]
- Harmonic oscillator for measuring dynamic elastic
constants of rock materials. Maurice A. Biot, William L. Medlin, Lucien
Masse, U.S. patent office 4 412 452, November 1, 1983.
[A simple harmonic oscillator for use in measuring dynamic elastic
constants of rock material samples includes a pair of masses vertically
suspended by a pair of wires with the rock sample between them acting
as a spring.]
Royale de Belgique, Annuaire 1990, Extrait, Notice sur Maurice Anthony
Biot, par A. Delmer et A. Jaumotte, Bruxelles-Palais des Academies.
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