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Re: dynamic condensation

• To: seaint(--nospam--at)seaint.org
• Subject: Re: dynamic condensation
• From: "Peter McCormack" <pmac(--nospam--at)realloghomes.com>
• Date: Wed, 17 Nov 1999 14:11:11 -0500
• Priority: normal

```There is a reference to "Condensed Mass Matrix" in chapter 11(
page 291) of  "Theory of Matrix Structural Analysis" by P.S.
Przemieniecki. The chapter in question deals with inertia properties
of structural elements.

I hope this helps.
Peter

From:           	Waterman Drinkwater <Drinkwater(--nospam--at)EQUATION.COM>
To:             	"'seaint(--nospam--at)seaint.org'" <seaint(--nospam--at)seaint.org>
Subject:        	dynamic condensation
Date sent:      	Wed, 17 Nov 1999 13:24:56 -0500
Organization:   	http://www.seaint.org

> Hi,
>
> Are there any references to "dynamic condensation"? There is a well-known
> method, static condensation, that condens a stiffness matrix with respect to
> a particular set of DOF. The subject interested here is "dymanic
> condensation", that condens eigenvalue equations. For the following example,
>
> /                    \  /       \                /       \
> | K_aa  K_ab  |  |  X_1 |=(lambda) |  X_1 |
> | K_ba  K_bb  |  |  X_2 |               |  X_2 |
> \                   /   \       /               \        /
>
> (Due to different font set, it may be difficult in reading the previous
> equation. Please re-shape it if necessary)
>
> Conden out the subset {X_2}, and get the equation [D_aa]{X_1}=(lambda){X_1},
> where {X_1} is a subset of {X} and the (labmda) solved in small equation is
> also eigenvalue of the original equation.
>
> Any references to "dynamic condensation"? Thank you.
>
>
>

```