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As with the first order system, there is a general differential equation that governs the response of a second order system. The equation is of the form:
Where:
So how is the second order differential equation for the spring mass damper generated?
Well, if an input is applied to the mass, the equation of motion for the system can be written as:
The general equation for a second order system can be manipulated to give the equation above and vice versa.
Performing the numerical integration for the second order system
The second order equation order is dealt with by rewriting the equation as pair of first order equations. The numerical integration can be performed in a similar way to the first order system where:
Of course as all the hardware information is available or selected by the engineer, the value for (d2y/dz2) can be calculated by manipulating the equation of motion.
if u=x^2-2y^2, v=2x^2-y^2 and x=rcosp ad y=rsinp, find the value of the jacobian d(u,v)/d(r,p)
what is one hundred twelve dollars in eight hours
#how do you estimate the sum a limit using intrgral test
What is the characteristics of divison
Use Lagrange interpolation to estimate f(3), given that f(1) = 1, f(4) = -3, f(2) = 0 and f(-1) = 3.
Let z 0 = a + ic, z 1 = b + id, z 2 = -id, and z = [z 0 + z 1 ]. Let z 0 be the apex of the wedge with one ray passing through z 1 and the other passing through z 2 , and
The price indices for the monthly basis salary of a clerk in years 1992 and 1994 based on year 1990 are 128 and 135. The monthly salary of the clerk in the year 1994 is RM810.
the solution of diffusion equation by using separation of variables
1. Joe and Sam each invested $20,000 in the stock market. Joe's investment increased in value by 5% per year for 10 years. Sam's investment decreased in value by 5% for 5 years and
how to model equations to determine the amount of oil in a reservior
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