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- W4237592227 abstract "General equations are derived for calculating the kinetic and potential energies and other energy characteristics of linear oscillatory NDOF-systems a portion of DOFs of which are internal or inaccessible for measurement and excluded from consideration. The energy characteristics are expressed through parameters pertaining only to the input or accessible DOFs. The equations are based on the certain novel properties of the so-called Shur matrix complement. The theory is applied to calculating the energy characteristics of acoustic metamaterials for which this is still an unsolved problem, especially for those with negative effective density and stiffness. A metamaterial is thought as a medium or periodic structure in which the role of effective inertia and elastic elements is played by sufficiently complex oscillatory systems with internal DOFs. Applying the derived equations to a cell of periodicity of a metamaterial one can obtain the exact values of the needed energy characteristics. The theory is verified in computer simulation and laboratory experiment." @default.
- W4237592227 created "2022-05-12" @default.
- W4237592227 creator A5008270243 @default.
- W4237592227 date "2013-01-01" @default.
- W4237592227 modified "2023-09-23" @default.
- W4237592227 title "Equations for energy characteristics of oscillatory systems with internal (hidden) degrees of freedom and application to acoustic metamaterials" @default.
- W4237592227 doi "https://doi.org/10.1121/1.4799720" @default.
- W4237592227 hasPublicationYear "2013" @default.
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