Chapter 9 Finite Element Method
stiffness matrix and inertia matrix of irregular-shaped beam
9.1 static deformation of beam (constant cross-sectional area)
9.1 static deformation of beam (non-constant cross-sectional area)
9.1 static deformation of beam (both ends fixed)
9.2 dynamic deformation of beam (constant cross-sectional area)
equations of motion of deforming beam
external force applied to beam
9.3 example of calculating connection matrices
Problem 2 (1) calculating partial connection matrices
Problem 2 (2) calculating connection matrices
calculating partial inertia matrix
calculating inertia matrix
example of calculating connection matrices and inertia matrix
Problem 5 dynamic elastic deformation of a square object (4×4)
Problem 5 dynamic elastic deformation of a square object (10×10)
calculating Lamé's constants
nodal points and triangles of a rectangular
displacement of pushing points
velocity of pushing points
equation of motion (when pushing the square top)
equation of motion (after releasing the pushing)
drawing object shape
searching a specified value in ascending ordered column vector
Problem 5 dynamic elastoplastic deformation of a square object (4×4)
Problem 5 dynamic elastoplastic deformation of a square object (10×10)
equation of motion (when pushing the elastoplastic square top)
equation of motion (after releasing the pushing)
Problem 6 flexural deformation of a paper
potential energy
equation constraints (boundary conditions)
inequality constraints and equation constraints
integral of \cos(\theta(s))
integral of \sin(\theta(s))
computing the deformed shape of a linear object