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12 Cards in this Set
- Front
- Back
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What mathematical model permits easy interconnection of physical systems?
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Transfer function
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To what classification of systems can the Transfer Function be best applied?
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Linear Time-Invariant
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What transformation turns the solution of differential equations into algebraic manipulations?
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Laplace
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What are the component parts of the mechanical constants of a motor's transfer function?
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Armature inertia, armature damping, load inertia, load damping
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Define the transfer function.
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G(s) = C(s)/R(s), where c(t) is the output and r(t) is the input.
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What assumption is made concerning initial conditions when dealing with transfer functions?
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Initial conditions are zero
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What do we call the mechanical equations written in order to evaluate the transfer function?
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Equations of motion
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If we understand the form the mechanical equations take, what step do we avoid in evaluating the transfer function?
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Free body diagram
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Why do transfer functions for mechanical networks look identical to transfer functions for electrical networks?
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There are direct analogies between the electrical variables and components and the mechanical variables and components.
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What function do gears perform?
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Mechanical advantage for rotating systems
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The motor's transfer function relates armature displacement to armature voltage. How can the transfer function that relates load displacement and armature voltage be determined?
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Multiply the transfer function by the gear ratio relating armature position to load position.
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Summarize the steps taken to linearize a nonlinear system.
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(1) Recognize the nonlinear component, (2) Write the nonlinear differential equation, (3) Select the
equilibrium solution, (4) Linearize the nonlinear differential equation, (5) Take the Laplace transform of the linearized differential equation, (6) Find the transfer function. |
