Consideration of fracture mechanics reliability during the design process can assist in the prevention of failures of structural and mechanical components subject to fluctuating loads in service. Explicit consideration of the reliability of structural and mechanical components provides the means to evaluate alternate designs and to ensure that specified risk levels are met. Probabilistic fractu...

Systems of linear and nonlinear equations with fuzzy parameters are relevant to many practical problems arising in structure mechanics, electrical engineering, finance, economics and physics. In this paper three methods for solving such equations are discussed: method for outer interval solution of systems of linear equations depending linearly on interval parameters, fuzzy finite element metho...

I confirm that this Bachelor Thesis is done solely by myself and no other sources and facilities were used except those that are mentioned in this thesis. This Bachelor Thesis was never submitted in total or in part or in modified form to any other legal department or authorities or to any examination commission. All quotations taken from other sources are referenced accordingly. Erklärung: Ich...

We seldom measure H from the center of earth. Therefore what we can easily measure is the change of the potential energy ∆W = (mg)(H −Ho) (8.2) The energy is always positive. It can e zero but it cannot be negative. The gravity force F = mg is directed towards the center of earth. Therefore there is a need for the negative sign in Eq. (8.2)). In the coordinate system of Fig. (8.1), the gravity ...

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Computational mechanics quantifies structure in a stochastic process via its causal states, leading to the process’s minimal, optimal predictor—the -machine. We extend computational mechanics to communication channels coupling two processes, obtaining an analogous optimal model—the -transducer—of the stochastic mapping between them. Here, we lay the foundation of a structural analysis of commun...

In the field of Civil Engineering, Knowledge Engineering techniques have been applied to safety evaluation, damage assessment and design of structures, but applications are usually limited to specific cases . In this paper, a general approach to structural mechanic problems, based on Qualitative Physics, is discussed, providing the way to model and reason about a wide class of structures as phy...

In the long version of his Ph.D. thesis, Hugh Everett III developed pure wave mechanics as a way of solving the quantum measurement problem faced by the standard von Neumann-Dirac collapse formulation of quantum mechanics. Pure wave mechanics, however, encounters problems of its own. I will brief review Everett‟s description in his thesis of the standard measurement problem, how pure wave mecha...