Identification of Parameters in Nonlinear Boundary Conditions of Distributed Systems with Linear Fields

Abstract

A method is presented for the formulation of unknown parameters in nonlinear boundary conditions in distributed parameter dynamic systems. In contrast to other available techniques, this method requires only as many measurement sensors within the field as there are unknown boundary conditions. Results are presented for simulated data from an example of heat conduction with radiation boundary and for experimental data from a cantilever beam with a nonlinear moment at the boundary. The method may be applied to partial differential equations which are linear, one-dimensional, and have known time invariant coefficients. The nonlinear boundary conditions are specified up to a set of unknown constant parameters which appear linearly in the boundary conditions.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1972
Accession Number
AD0744696

Entities

People

  • E. Dawson Ward
  • Raymond E. Goodson

Organizations

  • Purdue University

Tags

Communities of Interest

  • Energy and Power Technologies
  • Ground and Sea Platforms
  • Sensors

DTIC Thesaurus Topics

  • Analog Computers
  • Automatic
  • Boundaries
  • Coefficients
  • Convection
  • Detectors
  • Differential Equations
  • Engineering
  • Equations
  • Experimental Data
  • Heat Transfer
  • Linear Systems
  • Mechanical Engineering
  • Military Research
  • Partial Differential Equations
  • Regression Analysis
  • Simulations

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)