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Re: dynamic condensation
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- 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 Send reply to: seaint(--nospam--at)seaint.org 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. > > >
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- From: Waterman Drinkwater
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