Non linear dynamic model equation to linear equation
Could you please show the steps from non linear dynamic model equation to linear equation?
Expert
We'll show one step as this linearization is automatically carried out in MATLAB.
Consider the part F(h) = CAs(2gh)1/2
To linearize we'll represent this part or F(h) as Taylor series expansion around steady state stock height hs.F(h) = F(hs) + (dF/dh)hs(h – hs) + ... higher order terms in (h – hs)
dF/dh = CAs(1/2)(2g)1/2 h-1/2 (dF/dh)s = CAs(1/2)(2g)1/2 hs-1/2 F(h) = F(hs) + (dF/dh)hs(h – hs) F(h) = F(hs) + (CAs(1/2)(2g)1/2 hs-1/2)(h – hs)
F(h) = F(hs) + K'h h'where K'h is a constant and h' is the deviation variable in h.
Of course we have to linearize the first term also in the same way, Taylor series expansion, then we can collect the h' and P'vd.
While loop: It is one of Java's three control structures employed for looping. The other two are: do loop and for loop. The while loop comprises of a Boolean expression and a loop body. The condition is tested prior to the loop body is entered for the
How can you walk through the steps essential to parse XML documents?
Homework Assignment : A Barbershop Problem Due: November 20, 2012 In this assignment, you are asked to write a multithreading problem to simulate the barbershop problem, which is a classical synchronization problem. The problem is taken from William Stallings's Operating Systems: Internals and D
Explain how to detect a sequence of ‘1101’ arriving serially from the signal line?
Which kernel objects is utilize for thread Synchronization on various processes? Answer: For thread synchronization on various processes kernel objects are utilize
Do loop: This is one of Java's three control structures employed for looping. The other two are the for loop and while loop. A do loop comprises of a loop body and a Boolean expression. The condition is tested subsequent to the loop body has been fini
Stepwise refinement: It is a divide and conquer approach to the programming, in which a complicated problem is recursively divided into smaller, sub-problems and more manageable. This approach to program design is frequently employed with structured p
Differentiate overriding and overloading method?
Interpretational inner class: It is an inner class whose role is to give a view or interpretation of data belongs to its enclosing class, however independent of the data's real representation.
Implements clause: That part of a class header which points out which interfaces are applied by the class. A class might implement for more than one interface.
18,76,764
1953802 Asked
3,689
Active Tutors
1458297
Questions Answered
Start Excelling in your courses, Ask an Expert and get answers for your homework and assignments!!