So for my graphics class I am currently reading "Stochastic Dynamics: Simulating the Effects of Turbulence on Flexible Structures" by Jos Stam(adsbygoogle = window.adsbygoogle || []).push({});

However, while starting to implement it, I've realized my understanding of math is not strong enough to fully understand what is going on so I have a couple of questions.

Given the mass matrix M and stiffness matrix K, how would I go about solving MQD=KQ where Q is the modal shapes matrix and D is a diagonal matrix of modal frequency involved with Q. I am not sure how Q and D can both be found from this one equation and exactly what part of this problem is a eigenproblem.

I am told that I should use ARPACK(which according to the paper uses Lanczos method) but without first understanding what is going on in that equation, I am not sure how to proceed. I would like any help or hint on understanding this.

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# Some questions about solving eigenproblems to do modal analysis

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