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In addition, the method does not require a Hurwitz convex combination of the dynamic matrices of the subsystems.
These expected counts are obtained from the dynamic matrices of the forward backward algorithm.
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Three different approximations are proposed and thus modulated for the three frequency ranges wherein the dynamic matrix of the considered random and convective load has different characteristics.
It permits one to determine the stability of the system through the location in the complex plane of the dynamic matrix eigenvalues of the state space.
It permits to check the system stability through the location in the complex plane of the dynamic matrix eigenvalues of the system pseudo-state space representation.
For systems with symmetric dynamic matrices, the problem of minimizing the H2 or H∞ performance of the closed-loop system can be cast as a convex optimization problem.
The dynamic stiffness matrices of the ends and the central turns can be assembled as in standard FE yielding a FE/WFE model whose size is much smaller than a full FE model of the spring.
In Eq. (4), (varvec{D}_{text{d}}) and (varvec{D}_{text{dir}}^{ k)}) are, respectively, the dynamic stiffness matrix of the FE model and the direct field dynamic stiffness matrix of subsystem k.
The knowledge of the exact dynamic stiffness matrix of the single arch makes the direct evaluation of the exact global dynamic stiffness matrix of spatial arch structures possible.
The knowledge of the exact explicit dynamic stiffness matrix of the multi-cracked beam makes the direct evaluation of the exact global dynamic stiffness matrix of damaged frame structures possible.
The element dynamic stiffness matrices are assembled and the boundary conditions of the beam are applied, so that the dynamic stiffness matrix of the beam is derived.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com