| 摘要 |
An apparatus, system, and method may operate to solve a first equation associated with a structure of the form {-omega<SUP>2</SUP>M<SUB>R</SUB>+iomegaB<SUB>R</SUB>+[(1+igamma)K<SUB>R</SUB>+i(K<SUB>4R</SUB>)]}Y=F<SUB>R</SUB>. The apparatus and system may include a definition module to define an intermediate matrix C=(1+igamma)L<SUB>M</SUB><SUP>-1</SUP>K<SUB>R</SUB>L<SUB>M</SUB><SUP>-T</SUP>+iL<SUB>M</SUB><SUP>-1</SUP>K<SUB>4R</SUB>L<SUB>M</SUB><SUP>-T</SUP>, a first computation module to compute a plurality of eigenvalues and eigenvectors for a second equation CPhi<SUB>C</SUB>=Phi<SUB>C</SUB>Lambda<SUB>C</SUB>, a second computation module to compute a matrix P=Phi<SUB>C</SUB><SUP>T</SUP>L<SUB>M</SUB><SUP>-1</SUP>U<SUB>R </SUB>and a matrix R=V<SUB>R</SUB><SUP>T</SUP>L<SUB>M</SUB><SUP>-T</SUP>Phi<SUB>C</SUB>, an equation solving module to solve a third equation of the form (D(omega)+PQ(omega)R)Z=Phi<SUB>C</SUB><SUP>T</SUP>L<SUB>M</SUB><SUP>-1</SUP>F<SUB>R </SUB>for Z, wherein D(omega)=-omega<SUP>2</SUP>I+Lambda<SUB>C </SUB>and Q(omega)=iomegaSigma<SUB>R</SUB>, and a product formation module to form a product Y=L<SUB>M</SUB><SUP>-T</SUP>Phi<SUB>C</SUB>Z, wherein the product Y is a matrix having a plurality of vectors corresponding to the plurality of load vectors acting on the structure and included in the matrix F.
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