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CHE 185 – PROCESS CONTROL AND DYNAMICS

CHE 185 – PROCESS CONTROL AND DYNAMICS. SECOND AND HIGHER ORDER PROCESSES. SECOND ORDER PROCESSES CHARACTERIZATION. CAN RESULT FROM TWO FIRST ORDER OR ONE SECOND ORDER ODE GENERAL FORM OF THE SECOND ORDER EQUATION AND THE ASSOCIATED TRANSFER FUNCTION. characteristic equation.

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A. Free vibration  = 0

Chapter 8 Vibration. A. Free vibration  = 0. k. Undamped free vibration. m. x.  n = ( k / m ) 1/2 : natural frequency C : amplitude  o : initial p hase angle x o : initial displacement, x o = C sin( o ) T : period, such that T  n =2, or T = 2 /  n

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