Titlebook: Uncertainty Assessment of Large Finite Element Systems; Christian A. Schenk,Gerhart I. Schuëller Book 2005 Springer-Verlag Berlin Heidelbe

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Christian A. Schenk,Gerhart I. Schuëllerng principles and technical trade-offs when designing the air interface of 3G systems. The complexity of 3G systems and the interaction between the physical and m- tiple access layers present a tremendous chall978-1-4899-8293-3978-1-4419-0155-2

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https://doi.org/10.1007/11673941Karhunen Loeve Expansion; Large Finite Element Systems; Operator; Simulation; Uncertainty Assessments; Vi

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11 Random Vibrations of Large Finite Element Systems,o‘eve vector of the loading the corresponding Karhunen-Loève vector of the response of the system is computed. This allows – applying the superposition principle – to calculate the covariance matrix of the output quantities (e.g. displacements, velocities etc.).

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Uncertainty Assessment of Large Finite Element Systems978-3-540-32398-3Series ISSN 1613-7736 Series E-ISSN 1860-0816

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3 Spectral Analysis of Finite Dimensional Operators,A great number of engineering problems can be viewed as an input to output mapping, as shown in Fig. 3.1, where the system represents the law for the mapping between input and output. Mathematically speaking, the system represents an operator, which transforms input to output.

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6 Dynamic Analysis,A general dynamical system subjected to an external force vector . with a .-dimensional response . satisfies the non-linear second-order differential equation ., where “ . ” derivatives with respect to time . and . is the non-linear restoring force, respectively.

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