ME 431 Homework

Homework 03

posts: 455 United States
It's all gonna be magnificent... it's Homework 03

Lyric of the day
And where a tiny pair of hands,
Finds a sea-worn piece of glass,
And sets it as a sapphire in her mind.

posts: 11
A little unsure on question 3, part c. I don't believe I've ever been taught this method of solving second-order ODEs, or I just don't recognize it...or I just forget. Any possibility of a memory jog for this?
posts: 455 United States
I just want you to rewrite the equations in a form that's suitable for numerical simulation. Basically, identify the velocity as a distinct variable, say
v = dx/dt

so that the acceleration is
a = dv/dt.

Then the second order differential equation can be written as two first order differential equations, as
dv/dt = ... (solve the equation of motion for the acceleration)
dx/dt = v
posts: 8
What does the abbreviation SDOF stand for?
posts: 455 United States
Single Degree-of-Freedom