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16_MAE 334Woodward - lab2

16_MAE 334Woodward - lab2 - In your transient temperature...

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MAE 334 Lab 2 Linear Plot of Thermocouple Step Input Response Error Function -5 -4 -3 -2 -1 0 1 0 5 10 15 20 25 30 Time (sec) ln( Γ (t)) Linear Regression Fit y = -0.208t + .482 τ = -1/-0.208 = 4.8 seconds Figure 15. The step input response data from 14 was put into a linear form by using Equation (2). The line was fit to the data from 2 to 20 seconds. After 20 seconds in this plot the quantization noise makes the data unusable. Prior to 2 seconds the step input function had not yet been applied. which can be rewritten as: (3) τ / )) /( )) ( ln(( t T T t T T o = The term in the natural log expression is referred to as the error function.
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Unformatted text preview: In your transient temperature studies with a step input in temperature, the data you record (in an idealized form) will look similar to Figure 14. This is a result of using Equation (1)in Excel. The step response data can be further analyzed by applying Equation (3). The logarithmic representation makes the response linear (ideally) and the slope of the linear result can be used to obtain the time constant of the transient response as shown in Figure 15. 16 Page 16 of 16...
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