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  1. Out-of-Plane Vibrations of Plane Frames

    The frame vibrations studied in Chaps. 3 to 5 are for in-plane vibrations. If a plane frame acted upon by a force or horizontal ground vibration in...
    Chapter
  2. Vibrations of Frames with Inclined Members

    The model established for the vibration of the inclined bars in the last chapter now is applied to two- and three-bar frames with inclined members.
    Chapter
  3. Vibrations of X-Braced Multi-Story Frames

    The study of vibrations for the x-braced portal frames in the last chapter is extended to high-rise x-braced multi-story frames in this chapter....
    Chapter
  4. Conical Shells of Linearly Varying Thickness Subjected to Normal Loads

    The equilibrium equations for a surface element of a conical shell in the framework of generalized plane stress of linear theory of elasticity are...
    Chapter
  5. Comparison of Single and Two‐Fluid Approaches

    The results of the “0D„ analyses gathered in Tables 5.1 and 6.1 and discussed in Sects. 5.3 and 6.2 provide the basis for comparing Dam's к–ε and...
    Chapter
  6. Conclusion, Future Modeling Trends

    The relevance of this study stands not in the topics that have been discussed, since most of them have already been explored for many years now, but...
    Chapter
  7. Single‐Fluid Approach: Example of Dam's к–ε Model

    The statistical equations for the turbulent flow of an incompressible fluid are found in the literature [58], but they are adapted here to the...
    Chapter
  8. Specific Treatment of Shocks: Constraints on Models1

    Before examining the phenomenology of the interaction between a shock and turbulent or material heterogeneities, it is useful to recall that the...
    Chapter
  9. Two‐Fluid Approach: Example of Awe's Model

    Two‐fluid descriptions often use explicitly separate treatments for the conservation equations in each fluid, along with expressions for exchange...
    Chapter
  10. A Imperfection Data Bank

    For the stochastic modeling of geometric imperfections as described in Sec. 12.1, a database [5] has been available. This database provides...
    Christian A. Schenk, Gerhart I. Schuëller in Uncertainty Assessment of Large Finite Element Systems
    Chapter
  11. 7 Rational Treatment of Uncertainties

    Structural analysis up to this date, generally is still based on a deterministic conception. Observed variations in loading conditions, material...
    Christian A. Schenk, Gerhart I. Schuëller in Uncertainty Assessment of Large Finite Element Systems
    Chapter
  12. 4 Finite Element Method

    In this chapter, the fundamentals of the displacement-based finite element method are reiterated in a concise form, details can be found in a number...
    Christian A. Schenk, Gerhart I. Schuëller in Uncertainty Assessment of Large Finite Element Systems
    Chapter
  13. 9 Direct Monte Carlo Simulation

    The evaluation of the stochastic response by the Monte Carlo simulation technique is a powerful method for highly nonlinear systems as well as for...
    Christian A. Schenk, Gerhart I. Schuëller in Uncertainty Assessment of Large Finite Element Systems
    Chapter
  14. 11 Random Vibrations of Large Finite Element Systems

    The basic idea for the computation of the stochastic response is based on the Karhunen-Loève expansion of the stochastic loading. For each Karhunen-...
    Christian A. Schenk, Gerhart I. Schuëller in Uncertainty Assessment of Large Finite Element Systems
    Chapter
  15. 5 Non-Linear Static Analysis

    The state of the art in the capability to predict the stability behavior of shell structures refers to areas such as asymptotic analysis [69] and...
    Christian A. Schenk, Gerhart I. Schuëller in Uncertainty Assessment of Large Finite Element Systems
    Chapter
  16. 3 Spectral Analysis of Finite Dimensional Operators

    A great number of engineering problems can be viewed as an input to output map**, as shown in Fig. 3.1, where the system represents the law for the...
    Christian A. Schenk, Gerhart I. Schuëller in Uncertainty Assessment of Large Finite Element Systems
    Chapter
  17. Vibrations of X-Braced Portal Frames

    Because of devastation of structures due to earthquake and wind force, increasing attention has been paid to dynamic responses of braced structures...
    Chapter
  18. A Boundary-Layer Solution Verified by Buckling of a Rectangular Plate

    The so called edge-zone or boundary-layer solutions are widely used in large dediection problems of thin elastic plates [20,35,36] and shells...
    Chapter
  19. Inclined Girders with End Constraint Subjected to Normal Loads

    A two-bar truss subjected to lateral normal distributed loads as shown in Fig. 9.1 represents a double leaf miter-type gate used in navigation locks...
    Chapter
  20. 6 Dynamic Analysis

    A general dynamical system subjected to an external force vector $\vec{f}(t)$...
    Christian A. Schenk, Gerhart I. Schuëller in Uncertainty Assessment of Large Finite Element Systems
    Chapter
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