6. Time-dependent problems

This chapter contains the following sections:

• 6.1. Numerical Methods for ODE’s
• 6.2. Semi-discrete form for diffusion
• 6.3. Time stepping algorithms for diffusion
• 6.4. Semi-discrete form for elasto-dynamics
• 6.5. Time stepping schemes for elasto-dynamics
• 6.6. Modal Analysis
• 6.7. Exercises
  • ODE Solvers Workshops
    • Workshop 1: ODE Solvers
    • Workshop 2: Linearizing the Equations of Motion
    • Workshop 3: Deriving the EOM of a pendulum
    • Workshop 4: Deriving the EOM of a 2DOF system
    • Workshop 5: Deriving the EOM of a 4DOF floating wind turbine
  • Structural Elements Dynamics Workshops
    • Workshop 1: FEM for a rod
    • Workshop 2: FEM for an Euler-Bernoulli beam
    • Workshop 3: FEM for a jacket wind turbine
    • Workshop 4: Modal superposition of a jacket wind turbine
    • Workshop 5: Full FEM or Modal superposition for a jacket wind turbine
    • Workshop 6: Dynamic string
  • Pyjive Workshops
    • Pyjive workshop: Poisson and diffusion problems
    • PyJive workshop: modal analysis
    • PyJive workshop: Time-dependent analysis
    • PyJive workshop: Reproducing dynamics experiments