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140122 ||| eng |
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|a 9783642828638
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| 100 |
1 |
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|a Spencer, B.F.Jr
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| 245 |
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|a Reliability of Randomly Excited Hysteretic Structures
|h Elektronische Ressource
|c by B.F.Jr. Spencer
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| 250 |
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|a 1st ed. 1986
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 1986, 1986
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| 300 |
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|a XIV, 142 p. 1 illus
|b online resource
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|a I. Introduction -- A. General Remarks -- B. Literature Review -- C. Objective and Scope -- II. Problem Definition and Formulation -- A. The Modified-Bouc Hysteresis Model -- B. Formulation of the First Passage Problem -- III. Numerical Solution of the First Passage Problem -- A. A Petrov-Galerkin Finite Element Method for Three-Dimensional Convection-Diffusion Problems -- B. Solution of the Generalized Pontriagin-Vitt Equation for the Ordinary Moments of Time to First Passage -- C. Solution of the Initial-Boundary Value Problem for Oscillator Reliability -- IV. Validation of Results -- A. Demonstration of the Consistency Between the Steady State and Transient First Passage Formulations -- B. Monte Carlo Simulation of the Failure Process -- C. Comparison of the Finite Element Results with the Simulation -- V. Estimating Oscillator Reliability Using Ordinary Moments -- A. The Maximum Entropy Distributions -- B. Estimating Reliability of the Hysteretic Oscillator -- VI. Conclusions and Recommendations -- I. Derivative Moments -- II. Derivation of the Finite Element Matrices -- III. Derivation of Spectral Density for a Rectangular Pulse Excitation -- IV. Maximum Entropy Distribution Algorithm -- Appendices -- References
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| 653 |
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|a Engineering, Architectural
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| 653 |
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|a Building Construction and Design
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| 653 |
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|a Building
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| 653 |
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|a Buildings—Design and construction
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| 653 |
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|a Construction
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 490 |
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|a Lecture Notes in Engineering
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| 856 |
4 |
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|u https://doi.org/10.1007/978-3-642-82863-8?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 690
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| 520 |
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|a A. GENERAL REMARKS During the last century, probabilistic methods for design and analysis of engineering systems have assumed a prominent place as an engineering tool. No longer do engineers naively believe that all problems can be analyzed with deterministic methods; but rather, it has been recognized that, due to unc- tainties in the model and the excitation, it may only be possible to describe the state of a system in terms of some random measure. Thus, with the need to address safety and design issues adequately and simultaneously to minimize the cost of a system, much attention has been given to the development of probabilistic criteria which can be applied in a systematic manner [l]t. These techniques allow for uncertainties in the parameters of the model as well as for uncertainties in both the static and dynamic loadings to be considered and therefore give a better measure of the reliability of a system. Widespread application of probabilistic methods can be found in disciplines ranging from civil, mechanical and electrical engineering to biology, economics and political science
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