Firdaus E. Udwadia

Professor of Civil Engineering, Mechanical Engineering, and Operations and Information Management.

Research Interests:

• Applied Mechanics and Applied Mathematics
  • Structural Dynamics
  • Analytical Dynamics and Vibrations
  • Nonlinear Dynamical Systems
• Earthquake Engineering
  • Response of Structures to Strong Earthquake Ground Motion
  • Optimal locations of sensors and actuators in building systems
• Dynamics and Control
  • Control of Nonholonomic Dynamical Systems
  • Lyapunov Theory
  • Active Control of Structural Systems
• Engineering Management and Decision Systems
  • Multicriterion Optimization
  • Applications of Fuzzy Logic to Management Decisions
  • Crisis Management

Teaching Interests:

• Engineering Mathematics, Earthquake Engineering
• Linear, Nonlinear and Random Vibrations
• Mechanics: Statics, Dynamics, Analytical Dynamics

Recent Publications:

• Udwadia F. E. and N. Raju, Dynamics of Coupled Nonlinear Maps and its Application to Ecological Modeling, Applied Math and Computation, 82, pp. 137-179, 1997.
• Udwadia F. E., Equations of Motion for Mechanical Systems: a unified approach, International Journal of Nonlinear Mechanics, 31, No. 6, pp. 951-958, 1997.
• S. Beifus, W. Proskurowski and F. E. Udwadia, A Fuzzy Logic Approach to Incorporating Managerial Thinking in Prediction and Control: a case study of market penetration, to appear in Journal of Optimization Theory and Applications, 92, No. 2, pp. 225-248, 1997.
• H. Von Bremmen, F. E. Udwadia and W. Proskurowsi, An Efficient Method for the Computation of Lyapunov Numbers in Dynamical Systems, Physica D, 110, pp. 1-16, 1997.
• C. Itiki, R. Kalaba and F. E. Udwadia, Inequality Constraints in the Process of Jumping, Applied Mathematics and Computation, 78, pp. 163-173, 1996.
• Udwadia F. E. and R. E. Kalaba, Equations of Motion for Mechanical Systems, Journal of Aerospace Engineering, 9, pp. 64-69, 1996.
• Udwadia F. E., R. E. Kalaba and M. Z. Nashed, On the Existence and Uniqueness of the Solution of the Equation of Motion for Constrained Mechanical Systems, Mathematical Problems in Engineering, 1, pp. 37-39, 1995.=20
• Kalaba R. E., F. E. Udwadia and R. Xu, The Bellman-Gauss-Vasudevan Principle of Constrained Motion, Topics in Mathematical Physics, Allied Publishers, 1995.
• Udwadia F. E. and R. E. Kalaba, The Geometry of Constrained Motion, ZAMM, 75, No. 8, pp. 637-640, 1995.
• R. Kalaba, F. Udwadia, R. Xu and C. Itiki, The Equivalence of Lagrange's Equations of Motion of the First Kind and the Generalized Inverse Form, Nonlinear World, 2, pp. 519-526, 1995.
• Udwadia F. E. and R. E. Kalaba, An Alternate Proof for the New Equations of Motion for Constrained Mechanical Systems, Applied Math. and Computation, 70, pp. 339-342, 1995.
• Udwadia F. E. and R. Kumar, Time-Delayed Control of Classically Damped Structural Systems, International Journal of Control, 60, No. 5, pp. 687-713, 1994.
• Xu. R, F. E. Udwadia, J. Moore and R. Kalaba, Lagrange's Problem Without Lagrange Multipliers: The Holonomic Case, Nonlinear World, 1, pp. 229-243, 1994.
• Kalaba R. E. and F. E. Udwadia, Lagrangian Mechanics, Gauss=D5s Principle and Generalized Inverses: New Equations of Motion for Nonholonomically Constrained Discrete Dynamical Systems, Quarterly of Applied Mathematics, 52, No. 2, pp. 229-242, 1994.
• Udwadia F. E., A Methodology for Optimal Sensor Locations for Parameter Identification of Structural and Mechanical Systems, Journal of Engineering Mechanics, 120, No. 2, pp.368-390, 1994.
• Udwadia F. E. and R. Kumar, Converge of Iterative Methods for Nonclassically Damped Dynamic Systems, Applied Mathematics and Computation, 61, No. 1, pp. 61-97, 1994.
• Udwadia F. E. and R. Kumar, New Iterative Schemes for Nonclassically Damped Dynamics Systems, Inter-national Journal of Earthquake Engineering and Structural Dynamics, 23, No.2, pp. 137-152, 1994
• Udwadia F. E. and R. E. Kalaba, New Approaches to the Control of Mechanical Systems, in Mechanics and Control, Los Angeles, Plenum Press, 1993.
• Kalaba R. E. and F. E. Udwadia, Equations of Motion for Nonholonomically Constrained Discrete Dynamical Systems, Journal of Applied Mechanics, 60, pp. 662-668, September, 1993.
• Udwadia F. E. and R. E. Kalaba, On Motion, Journal of the Franklin Institute, 330, No. 3, pp. 571-577, 1993.
• Kalaba R. E. and Udwadia F. E., An Associative Memory Approach to the Rapid Identification of Nonlinear Structural and Mechanical Systems, Journal of Optimization Theory and Applications, 76, No. 2, pp. 207-223, 1993.
• Udwadia F. E., Further Results on the Iterative Solution of Nonclassically Damped Linear Dynamic Systems, Journal of Applied Mechanics, 60, No. 1, pp. 235-239, 1993.
• Kalaba R. E. and F. E. Udwadia, On Constrained Motion, Applied Mathematics and Computation, 51, No. 1, pp. 85-86, 1992.
• Udwadia F. E., Intelligent Control of Tall Building Structures Subjected to Strong Earthquake Ground Shaking, Proceedings of the 10th World Conference on Earthquake Engineering, Madrid, Spain, July 14-19, 1992.
• Udwadia F. E. and R. E. Kalaba, A New Perspective on Constrained Motion, Proceedings of the Royal Society of London, Series A, 439, November, pp. 407-410, 1992.
• Udwadia F. E., Noncollocated Control of Continuous Systems with Tip-Inertias, Applied Mathematics and Computation, 47, No. 1, pp. 47-75, 1992.
• Udwadia F. E., Some Convergence Results Related to JOR Iterative Schemes used in Structural Mechanics Dealing with Positive-Definite Symmetric Matrices, Applied Mathematics and Computation, 47, No. 1, pp. 37-45, 1992.