Titlebook: IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties; Proceedings of the I Alexander K. Belyaev,Robin S. Langley Conf

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From Interval Computations to Constraint-Related Set Computations: Towards Faster Estimation of Statent errors. In this case, based on the measurement result ., we can only conclude that the actual (unknown) value . of the desired quantity is in the interval .. In interval computations, at each intermediate stage of the computation, we have intervals of possible values of the corresponding quantit

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Dynamic Steady-State Analysis of Structures under Uncertain Harmonic Loads via Semidefinite Programected to uncertain driving loads. The amplitude of harmonic driving loads is supposed to obey a non-probabilistic uncertainty model. We formulate a semidefinite programming problem, whose optimal value corresponds to a confidential bound for the characteristic amount of dynamic steady-state response

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Universal eigenvalue statistics and vibration response prediction matrix is sufficiently random, regardless of the statistics of the matrix entries. This distribution is the same as that associated with a class of random matrix known as the Gaussian Orthogonal Ensemble (GOE). The underlying reason for this behaviour is explored here, and it is concluded that the

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Statistical Energy Analysis and the second principle of thermodynamicsof thermodynamics. In this study, the definition of vibrational entropy is introduced for sub-systems containing energy and modes. The rate of entropy production at interfaces between sub-systems is also derived. Finally, in steady-state condition, an entropy equilibrium is reached. The meaning of e

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Modeling noise and vibration transmission in complex systemst, the justification for statistical analysis methods arises not because of a need to “model uncertainty” but rather because of a need to “reduce model complexity”. This distinction is important; analysis methods which increase model complexity (by requiring large amounts of input information) are s

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A Power Absorbing Matrix for the Hybrid FEA-SEA Method005) is the power absorbing dynamic stiffness matrix. The derivation of such a matrix associated with the flexural motion of a thin, flat, homogeneous plate, based on the cylindrical wave representation of the displacement field over a single convex domain (Lande 2005), is presented here. Key theore