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Time History Analysis

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teckert

Structural
Jul 30, 2009
30
Does anyone know where i could obtain some written detailed information on Time History Analysis for what it is used for?

Thanks,
 
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I good text for THA is Structural Dynamics: with Applications to Earthquake Engineering by Anil Chopra.



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Why is it called "time history analysis"? Time is the x dimension on the plot! Shouldn't it be "response history analysis" or "deflection history analysis" or whatever? We would say the "history of Western Civilization" not the "history of time" and define elsewhere the subject of the history.
 
Sometimes it's called a Time History analysis. Other times it's referred to as a Response History or a Transient analysis.

But, it's like saying po-TATE-toe vs. po-TAT-toe. It's just different ways of saying the same thing.

I think Chopra's book may have an okay expalantion as well. But, I don't know of any book that has a really good or really practical explanation.
 
Agreed that there doesn't seem to be a good book explanation. Chopra's is not bad, though.

To teckert, just think of RHA this way. Normally, when you do a static analysis, you're solving equations of equilibrium such as [K]{x}={F} using standard matrix methods. With RHA, you're solving the equations of *motion*: [M]{x''}+[C}{x'}+[K]{x}={F(t)}. This requires some kind of numerical ordinary differential equation solution technique such as Newmark's. You can look up Newmark's and other methods for solving such equations in Chopra and/or a numerical methods book. The results are functions of time, such a displacement {x} or acceleration {x''}. Can also get force effects such as moments.

That should give you the idea and what it's used for.
 
Everyone:

Thank You for the helpful insight.

Greatly Appreciated.

 
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