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# Re: dynamic condensation

• To: seaint(--nospam--at)seaint.org
• Subject: Re: dynamic condensation
• From: Walter Sawruk <sawruk(--nospam--at)ix.netcom.com>
• Date: Wed, 17 Nov 1999 17:33:32 -0500

Another reference for dynamic condensation is -

M. Paz, STRUCTURAL DYNAMICS - THEORY AND COMPUTATION, Van Nostrand
Reinhold, NY, NY, 3rd ed., 1991, Chapter 13.

Walt Sawruk
EQE International, Inc.
Shillington, PA

email: ws(--nospam--at)eqe.com
web site: http://www.eqe.com

At 01:24 PM 17-11-1999 -0500, you wrote:
>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.
>
>