exam1review - • Stability Forced response • Standard...

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ME 375 – Spring 2011 Topics Covered on Exam No. 1 Equations of motion (EOMs) Number of degrees of freedom (DOFs) Derivation of EOMs (FBDs, Newton-Euler equations, kinematics, reduction to final form of EOMs). Pay close attention to sign conventions in deriving EOMs. State-space form of EOMs Input/output differential equation (do this in the Laplace domain) Order of system Laplace transforms Transforming EOMs from time domain to “s” domain with both initial conditions (ICs) and input u(t) Partial fraction expansions: methods for distinct roots and repeated roots Free and forced components of response: Y s ( ) = C s ( ) D s ( ) + N s ( ) D s ( ) U s ( ) Final value theorem – what must be true for this theorem to be used? Transfer functions G s ( ) = Y s ( ) U s ( ) = output input Poles and zeros of transfer function Connection of transfer function poles to the free response
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Unformatted text preview: • Stability Forced response • Standard forms of EOMs for first-order and second-order systems. • Response to unit impulse and unit step inputs for first-order and second-order systems • Relationship of transfer function poles to step-response characteristics: time constant, 2% settling time ( t s ) and %OS (for underdamped, second-order systems). How do these measures of response related to pole location in complex plane? What are the loci of the poles corresponding to (see figure to the right): constant %OS, constant ω n , constant d or constant t s ? • Relationship of 2% settling time ( t s ), static gain ( K ) and %OS to system parameters n real { p } imag { p } − n d constant settling time φ = cos − 1 ζ ( ) constant d constant n constant % OS...
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This note was uploaded on 12/22/2011 for the course ME 375 taught by Professor Meckle during the Fall '10 term at Purdue.

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