Mathematical Models & Methods for Smart Structures

Mathematical model is a description of a system using mathematical concepts. It helps to study a system and understands the effect of parameters on the system. Smart structure utilizes various materials which require characterization of their constitutive properties and development of models quantifies their interactions within underlying systems. Development of linear, nonlinear and hypothetical models constitutes amenable relation to control design and formulation of control law enhances the performance of smart structures.

Potential topics include, but are not limited to

  • Building Models: Flow diagrams, mathematical equations
  • Studying Models: Dimensionless form, Asymptotic behavior, Sensitivity analysis
  • Testing Models: Testing the assumptions, Model Structure
  • Using Models: Predictions with estimates of precision, Decision Support
  • Dimensional Homogeneity and Consistency
  • Abstraction and Scaling
  • Conservation and Balance Principles
  • Constructing Linear Models
  • Modeling, simulation and control of smart materials
  • Dislocations and Strengthening Mechanisms
  • Phase Diagrams
  • Multifunctional Materials and Structures