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The article presents the results for the theory of time analysis of discrete dissipative systems, the vibrations of which are described with the help of ordinary differential equations with constant coefficients. The theory is based on the algebraic approach centered around the research of matrix quadratic equation which is characteristic for the homogeneous system of ordinary differential equations...
Based on common equations of response of dissipative system, which is presented in the form of Duhamel's integral, some particular cases of the application of this integral to the problems of dynamics of structures are considered. The calculated construction scheme is simulated by the system with n degrees of freedom; accountancy of damping is conducted in the limits of linear theory of viscous damping...
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