Topics: Solution of nonlinear dynamic response I

• Basic procedure of direct integration
• The explicit central difference method, basic equations, details of computations performed, stability considerations, time step selection, relation of critical time step size to wave speed, modeling of problems
• Practical observations regarding use of the central difference method
• The implicit trapezoidal rule, basic equations, details of computations performed, time step selection, convergence of iterations, modeling of problems
• Practical observations regarding use of the trapezoidal rule
• Combination of explicit and implicit integrations

Instructor: Klaus-Jürgen Bathe