MEC E563 Lecture 6: IFEM.Ch08
30 Nov 2017
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Document Summary
In previous chapters we have considered structural support conditions that are mathematically expressable as constraints on individual degrees of freedom: nodal displacement component = prescribed value. (8. 1) Chapter 3 explains how to incorporate constraints of this form into the master stiffness equations, using hand- or computer-oriented techniques. The displacement boundary conditions studied in chapter 7, which include modeling of symmetry and antisymmetry, lead to constraints of this form. For example: u x4 = 0, u y9 = 0. 6. (8. 2) The rst one is homogeneous while the second one is non-homogeneous. The next step up in complexity involves multifreedom equality constraints, or multifreedom con- straints for short, the last name being acronymed to mfc. These are functional equations that connect two or more displacement components: F (nodal displacement components) = prescribed value, (8. 3) where function f vanishes if all its nodal displacement arguments do.
