• B.S. 1963 - Federal University of Rio de Janeiro, Brazil
• M.S. 1966 - Stanford University
• Ph.D. 1969 - Stanford University

Dr. Crespo da Silva received two undergraduate engineering degrees from the "Escola Nacional de Engenharia" of the Federal University of Rio de Janeiro, Brazil, in 1963. After a technical tour of Europe that lasted two and half months in 1964, with a small group that consisted of two of his classmates and an Engineering Professor from his school, he worked in the Brazilian electronic industry and taught a course at his former engineering school. He went to Stanford University in September 1965, from which he received his M. Sc. (September 1966) and his Ph. D. (April 1969). His doctoral work was on satellite attitude dynamics, and he continued that work as a National Research Council (NRC) Post-doctoral research associate at NASA Ames Research Center in California. In 1971 he joined the faculty of the Aerospace Engineering & Engineering Mechanics Department at the University of Cincinnati, in Ohio, as an Assistant Professor, and was promoted to Associate Professor with Tenure in 1976, and to Professor in 1981. He was a Visiting Research Scientist in the Aeromechanics Laboratory at NASA Ames Research Center on a sabbatical leave in 1983. During that sabbatical he worked on nonlinear dynamics problems associated with helicopter rotor blades, which was a continuation of his research work that was funded by NASA and by the Aeromechanics Laboratory of the U. S. Army. He joined Rensselaer in 1986, attracted by the Rotorcraft Technology Center that was funded at Rensselaer by the U. S. Army Research Office. He founded the Symbolic Computation Laboratory at Rensselaer. Some of his work has been funded by NSF, U.S. Army Research Office, and the U.S. Air Force. He is a member of the American Academy of Mechanics, senior member of the American Institute of Aeronautics and Astronautics, and a Fellow of the American Society of Mechanical Engineers. He has been vice-chairman of the First Pan American Congress of Applied Mechanics (PACAM I), chairman of PACAM III, and a contributor to other PACAMs.

Areas of Interest and Activities

Nonlinear Vibrations and Stability of Motion, Analytical Dynamics, Structural Dynamics, Satellite Dynamics, Helicopter Dynamics, Perturbation Methods and Analysis; Development of Animation Educational Software Models with Simulink and Matlab, Applications of Computerized Symbolic Manipulation to dynamical systems and for implementing perturbation methodologies.

Book manuscript in preparation

Crespo da Silva, M. R. M, ENGINEERING DYNAMICS, complemented with Simulations and Animations.

Sample Publications (for a more detailed resumé click here)

Crespo da Silva, M.R.M., Dynamics of a Class of Multi-beam Structures by a Reduced Nonlinear Analytical Model. Applied Mechanics in the Americas (published by the American Academy of Mechanics, and by the Brazilian Society of Mechanical Engineers), Vol 8, pp. 1601-1604, 1999.

Crespo da Silva, M.R.M., A Comprehensive Analysis of the Dynamics of a Flexible Helicopter Rotor Blade. Int. J. Solids and Structures, Vol. 35, No. 7-8, pp. 619-635, 1998.

Crespo da Silva, M.R.M., A Reduced-order Analytical Model for the Nonlinear Dynamics of a Class of Flexible Multi-beam Structures. Int. J. Solids and Structures, Vol. 35, No. 25, pp. 3299-3315, 1998.

Crespo da Silva, M.R.M., General Reduced Order Analytical Model for the Nonlinear Dynamic Analyses of Beams with or without Lumped Masses. Applied Mechanics Reviews, Vol. 50, No. 11, Part 2, pp. 28-35, 1997.

Crespo da Silva, M. R. M., On an Analytical Model for Investigating Nonlinear Dynamic Behavior of Flexible Structures. Recent Developments in Solid Mechanics, pp. 153-158, 1996 (Laboratório Nacional de Computação Cientîfica, Rio de Janeiro, Brazil).

Crespo da Silva, M. R. M. and Zaretzky, C. L., Nonlinear Flexural-flexural-torsional Interactions in Beams Including the Effect of Torsional Dynamics: I: Primary Resonance. Nonlinear Dynamics, Vol. 5, pp. 3-23, 1994.

Zaretzky, C. L. and Crespo da Silva, M. R. M., ., Nonlinear Flexural-flexural-torsional Interactions in Beams Including the Effect of Torsional Dynamics: II: Combination Resonance. Nonlinear Dynamics, Vol. 5, pp. 161-180, 1994.

Zaretzky, C. L. and Crespo da Silva, M. R. M., Experimental Investigation of Non-linear Modal Coupling in the Response of Cantilever Beams. J. Sound and Vibration, Vol. 174, No. 2, pp. 145-167, 1994.

Crespo da Silva, M. R. M. . and Zaretzky, C. L., Nonlinear Dynamics of a Flexible Beam in a Central Gravitational Field- I: Equations of Motion. Int. J. Solids and Structures, Vol. 30, No. 17, pp. 2287-2299, 1993.

Crespo da Silva, M.R.M., Equations for Nonlinear Analysis of 3D Motions of Beams. Applied Mechanics Reviews, Vol. 44, No. 11, pp. 51-59, 1991.

Crespo da Silva, M.R.M., Zaretzky, C.L., and Hodges, D.H., Effects of Approximations on the Static and Dynamic Response of a Cantilever with a Tip Mass. Int. J. Solids and Structures, Vol. 27, No. 5, pp.565-583, 1991.

Crespo da Silva, M.R.M., and Zaretzky, C.L., Nonlinear Modal Coupling in the Planar and Non-Planar Response of Inextensional Beams. Int. J. Non-linear Mechanics, Vol. 25, No. 2/3, pp. 227-239, 1990.

Crespo da Silva, M.R.M., On the Use of Symbolic Computation for Automating the Analysis of a Class of Problems in Dynamics and Vibrations. Computers in Engineering, Vol. 1, ASME Press, N.Y., pp. 593-600, 1990.

Crespo da Silva, M.R.M., Analysis of the Non-Planar Response of a Cantilever, with the Aid of Computerized Symbolic Manipulation. Computer Utilization in Structural Engrg., ASCE, pp. 61-70, 1989.

Crespo da Silva, M.R.M., Nonlinear Flexural-Flexural-Torsional-Extensional Dynamics of Beams. I: Formulation. Int. J. Solids and Structures, Vol. 24, No. 12, pp. 1225-1234, 1988.

Crespo da Silva, M.R.M., Nonlinear Flexural-Flexural-Torsional-Extensional Dynamics of Beams. II: Response Analysis. Int. J. Solids and Structures, Vol. 24, No. 12, pp. 1235-1242, 1988.

Crespo da Silva, M.R.M., and Hodges, D.H., Nonlinear Flexure and Torsion of Rotating Beams, with Application to Helicopter Rotor Blades. Part I: Formulation. VERTICA, Vol. 10, No. 2, pp. 151-169, 1986.

Crespo da Silva, M.R.M., and Hodges, D.H., Nonlinear Flexure and Torsion of Rotating Beams, with Application to Helicopter Rotor Blades. Part II: Response and Stability Results. VERTICA, Vol. 10, No. 2, pp. 171-186, 1986.

Crespo da Silva, M.R.M., and Hodges, D.H., The Role of Computerized Symbolic Manipulation in Rotorcraft Dynamics Analysis. Computers and Mathematics, with Applications, Vol. 12A, No. 1, pp. 161-172, 1986.

Crespo da Silva, M.R.M., Vibrations of Shallow Arches, Including the Effect of Geometric Nonlinearities. J. Sound and Vibration, Vol. 84, No. 2, pp. 161-172, 1982.

Crespo da Silva, M.R.M., Nonlinear Resonances in a Column Subjected to a Constant End Force. J. Appl. Mechanics, ASME Trans., Vol. 47, No. 2, pp. 409-414, 1980.

Crespo da Silva, M.R.M., On the Whirling of a Base-Excited Cantilever Beam. J. Acoustical Society of America., Vol. 67, No. 2, pp. 704-707, 1980.

Crespo da Silva, M.R.M., and Glynn, C.C., Non-linear, Non-planar Resonant Oscillations in Fixed-Free Beams with Support Asymmetry. Int. J. Solids and Structures, Vol. 15, No. 3, pp. 209-219, 1979.

Crespo da Silva, M.R.M., and Glynn, C.C., Out-of-plane Vibrations of a Beam Including Non-linear Inertia and Non-linear Curvature Effects. Int. J. Non-linear Mechanics, Vol. 13, No. 5/6, pp. 261- 271, 1979.

Crespo da Silva, M.R.M., and Glynn, C.C., Non-linear Flexural-Flexural-Torsional Dynamics of Inextensional Beams. I: Equations of Motion. J. Struct. Mechanics, Vol. 6, No. 4, pp. 437-448, 1978.

Crespo da Silva, M.R.M., and Glynn, C.C., Non-linear Flexural-Flexural-Torsional Dynamics of Inextensional Beams. II: Forced Motions. J. Struct. Mechanics, Vol. 6, No. 4, pp. 449-461, 1978.

Crespo da Silva, M.R.M., Harmonic Non-linear Response of Beck's Column to a Lateral Excitation. Int. J. Solids and Structures, Vol. 14, No. 12, pp. 987-997, 1978.

Crespo da Silva, M.R.M., Flexural-Flexural Oscillations of Beck's Column Subjected to a Planar Harmonic Excitation. J. Sound and Vibration, Vol. 60, No. 1, pp. 133-144, (1978).

Crespo da Silva, M.R.M., Attitude Dynamics, Stabilization and Control of Spacecrafts (invited paper). Marks Handbook for Mechanical Engineers, 8th. Edition, Astronautics Section (Editor: Neil Armstrong), pp. 11-117 to 11-119, McGraw Hill Book Co., 1978.

Crespo da Silva, M.R.M., The Effect of Spin on the Nonlinear Resonant Motions of a Dynamical System. J. Sound and Vibration, Vol. 52, No. 2, pp. 201-209, 1977.

Crespo da Silva, M.R.M., and Davis, R.T., A Study of Optimal Coordinate Theory with Application to Several Physical Problems. Int. J. Engineering Science, Vol. 15, No. 7, pp. 455-464, 1977.

Crespo da Silva, M.R.M., Dynamics of Internal Combustion Engines with an Application to Optimum Gear Shifting. Proc. Third Congress of Mechanical Engineering, Vol. A, pp. 197-206, Rio de Janeiro, Brazil, 1975.

Crespo da Silva, M.R.M., A Transformation Approach for Finding First Integrals of Motion of Dynamical Systems. Int. J. Non-linear Mechanics, Vol. 9, No. 4, pp. 241-250, 1974.

Crespo da Silva, M.R.M., Dynamical Equivalence Between Two Types of Vehicles with Rotors. J. British Interplanetary Society, Vol. 25, No. 3, pp. 177-181, 1972.

Crespo da Silva, M.R.M., Non-linear Resonant Attitude Motions in Gravity-stabilized Gyrostat Satellites. Int. J. Non-linear Mechanics, Vol. 7, No. 6, pp. 621-641, 1972.

Crespo da Silva, M.R.M., Attitude Stability of a Gravity-stabilized Gyrostat Satellite. Celestial Mechanics, Vol. 2, No. 2, pp. 147-165, 1970.

Crespo da Silva, M.R.M., Attitude Stabilization of a Multi-connected Body Satellite in Orbit Around a Planet. Electr. Engrg. Trans. of the Institution of Engineers (Australia), Vol. EE5, No. 1, pp. 109-113, 1969.