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ENTC 395

ENTC 395. Lecture 2b Mechanical Systems - Translation. R. W. Bolton Thompson 120D 845-0588 bbolton@tamu.edu. Today. Simple translational mechanical systems Response characteristics System math/model from Newton’s Laws. A simple mechanical system.

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ENTC 395

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  1. ENTC 395 Lecture 2b Mechanical Systems - Translation R. W. Bolton Thompson 120D 845-0588 bbolton@tamu.edu

  2. Today • Simple translational mechanical systems • Response characteristics • System math/model from Newton’s Laws

  3. A simple mechanical system Mathematical models of each component are noted below. Each represents a force exerted on the slider

  4. A simple mechanical system Summing the applied forces results in a differential equation of equilibrium, here a 2nd order ODE.

  5. A simple mechanical system We need to find an equation for x that works in this ODE -- or simulate the system 5 A typical response: 0 Position -5 0 2 4 6 8 10 Time

  6. 5 0 Position -5 0 2 4 6 8 10 Time A simple mechanical system Use the graph of the response to describe some system features _____________ _____________ _____________ _____________ _____________ _____________

  7. 5 Position 0 -5 0 2 4 6 8 10 Time A simple mechanical system An equation that may describe this motion:

  8. 5 5 Position Position 0 0 -5 -5 0 2 4 6 8 10 0 2 4 6 8 10 Time Time 5 5 Position 0 0 Position -5 -5 0 2 4 6 8 10 0 2 4 6 8 10 Time Time System responses Four possible responses of this system:

  9. 5 4 3 Position 2 1 0 0 2 4 6 8 10 Time Response to step input Step response of a well damped system: • Note: • F(t) not zero • Transient zone • Steady-state zone • Final offset

  10. A mechanical system model 1 1 s s Integrate Integrate Sum Clock F(t) 2 C/m XY Graph 10 K/m

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