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Professor Donald A. Danielson

Department of Applied Mathematics
Naval Postgraduate School, Monterey, California

Education:
PhD - Harvard, 1968
MS - Harvard, 1965
BS - MIT, 1964

Career:
1985 - present: Associate and Full Professor of Mathematics, Naval Postgraduate School, Monterey, CA
1979 - 1985 - Visiting Professor, University of California, San Diego
1968 - 1979 - Assistant and Associate Professor, University of Virginia

Research Interests:
Use theory and software to model dynamics of fluids and structures. Improve analytical and numerical techniques for prediction of satellite orbits.

Selected Publications:
Books:
Danielson D (1997) Vectors and tensors in engineering and physics, 2nd edn. Addison-Wesley, Reading
Donald A. Danielson, Vectors and Tensors in Engineering and Physics, The Perseus Books Group, 2003
Journal Articles, etc:
D. A. Danielson, Buckling and Initial Post-buckling Behavior of Spheroidal Shells under Pressure, Report SM-22, Harvard, March 1968
D. A. Danielson and J. G. Simmonds, “Accurate buckling equations for arbitrary and cylindrical elastic shells”, International Journal of Engineering Science, Vol. 7, No. 5, May 1969, pp. 459-468
Danielson, D.A., "Buckling and Initial Post-Buckling Behavior of Spherical Shells Under Pressure", AIAA Journal, Vol. 7, No.5, pp. 936-944, May 1969
Danielson, D. A., "Buckling and initial postbuckling behavior of spheriodal shells under pressure," AIAA J. 7, 936-944, 1969; AMR 23 (1970), Rev. 964.
Simmonds, J. G., and Danielson, D. A., "New results for the buckling leads of axially compressed cylindrical shells subject to relaxed boundary conditions," J. Appl. Mech. 37, 93-100, 1970.
J. G. Simmonds and D.A. Danielson, “Nonlinear shell theory with a finite rotation vector”, Proc. Kon. Nederl. Akad. Wsetenschd., Vol. 73, 1970, pp. 460-478
D. A. Danielson (Department of Applied Mathematics, University of Virginia, Charlottesville, Va. 22901, U.S.A), “Simplified intrinsic equations for arbitrary elastic shells”, International Journal of Engineering Science, Vol. 8, No. 3, March 1970, pp. 251-259
D.A. Danielson, “Stability of the thin elastic shell model of the red blood cell”, Journal of Biomechanics, Vol. 4, No. 6, December 1971, pp. 611-617
J.G. Simmonds and D.A. Danielson, “Nonlinear shell theory with finite rotation and stress-function vectors”, J. Appl. Mech., Vol. 39, 1972, pp. 1085-1090
Danielson, D.A., Natarajan, S.: Tension field theory and the stress in stretched skin. J. Biomech. 135–142 (1975)
Danielson DA, Kihl DP, Hodges DH. Tripping of thin-walled plating stiffeners in axial compression. Thin-Walled Structures 1990;10:121–142.
Hodges DH, Atilgan AR, Danielson DA (1993) A geometrically nonlinear theory of elastic plates. J Appl Mech 60:109–116
D.A. Danielson, A.S. Cricelli, C.L. Frenzen and N. Vasudevan, “Buckling of stiffened plates under axial compression and lateral pressure”, International Journal of Solids and Structures, Vol. 30, No. 4, 1993, pp. 545-551
Danielson DA. Analytical tripping loads for stiffened plates. Int J Solids Struct 1995;32(8– 
9):1317–1328.
D.A. Danielson and A. Wilmer, “Buckling of stiffened plates with bulb flat flanges”, International Journal of Solids and Structures, Vol. 41, Nos 22-23, pp 6407-6427, November 2004

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