Lecture 2: Analysis of Continuous Systems

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Topics: Analysis of continuous systems; differential and variational formulations Basic concepts in the analysis of continuous systems Differential and variational formulations Essential and natural boundary conditions Definition of Cm-1 variational problem Principle of virtual displacements Relation between stationarity of total potential, the principle of virtual displacements, and the differential formulation Weighted residual methods, Galerkin, least squares methods Ritz analysis method Properties of the weighted residual and Ritz methods Example analysis of a nonuniform bar, solution accuracy, introduction to the finite element method Instructor: Klaus-Jürgen Bathe