Bond-graphs for some classic dynamic systems

Bond graphs are developed for several nonlinear dy namic systems which are often used in dynamics courses to demonstrate conservation principles and equation development via Newton's law or Lagrange's equation. The purpose here is to show the use of bond graphs in obtaining nonlinear differential equations of motion for general nonlinear systems. Bond-graph models can also be expanded easily to include energetic interactions with all types of dynamic systems including hydraulic, electrical, thermal, and others. Numerical solutions for one example system are included.