Instruction
1
Having a data set of complex frequency domain functions, go directly to the construction of a hodograph using the mathematical package "MathCad". Select real and imaginary part. Substitute numerical values in the complex frequency function.
2
In the top menu select: "New..." – "Blank document". Here you'll shape the program to build the Mikhailov hodograph.
3
Set the resolution of the hodograph range of numbers of index i.
4
Define the studied range, indicate the frequency step. Take action based on the value of the index i. As a rule, in practical calculations, the highest value of frequency does not exceed the number 1000.
5
Specify the numerical values of real and imaginary parts of the original characteristic equation that you calculated previously.
6
Computationally, get the array of values of the frequency, as well as the data of the real and imaginary parts.
7
Now, having obtained arrays of values, start building Mikhailov hodograph. Select in the package "MathCad" the built-in function "Tools charts". Then click the option "Decerto graph. Here you must define the identifiers of the axes. Corresponds to the x-axis of the real part? Meets the y-axis the imaginary part or not?
8
In the submenu of the "Format...", make the chart options. As a result, you will get the hodograph of a complex frequency function.
9
Use the "Trace..." So you determine in the corresponding trace window, absolutely accurate values of the hodograph, choosing any point in the calculated arrays.