ME 3143 Lecture : ME 3143 Lecture 22 Tang Linearization
Document Summary
Most systems, especially mechanical systems, exhibit a degree of nonlinear behavior. Without simpifying assumptions, state equations will be nonlinear and of the form: Systems of nonlinear equations are more difficult to solve both analytically and numerically. Each method has merit; although nothing replaces the complete nonlinear solution, the use of linearized models can provide significant insight into the behavior of the nonlinear system. Typically, nonlinear systems will be run at operating points. Examples of systems that you will probably encounter include many types of rotating machinery, such as pumps, hydraulic motors, and electric motors. The operating point will correspond to a set of inputs and parameters which yield a desired performance characteristic, for example maximum flow rate without cavitation in a pump. A one-dimensional example is shown in figure 1(a). An operating point is chosen on the lower portion of the curve and two lines are shown.
