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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...
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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.
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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....
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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...
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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...
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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...
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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...
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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...
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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-...
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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...
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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 map**, as shown in Fig. 3.1, where the system represents the law for the...
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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...
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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...
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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...
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2 Outline
The monograph is structured as follows: Part I including Chapts. 3–6 reviews briefly the theoretical background of the deterministic methods and...
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10 Equivalent Statistical Linearization
The solution of non-linear vibration problems in terms of probabilistic characteristics of the response is a complex task, since no general methods...
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12 Stability Analysis of Cylindrical Shells with Random Imperfections
As an example of imperfection sensitive structures, the axially compressed cylindrical shell is analyzed in the subsequent sections. Despite of its...
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6 Dynamic Analysis
A general dynamical system subjected to an external force vector $\vec{f}(t)$...
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Two Methods for Analysis of Continuum Mechanics of Elastic Structures
There are two basic methods to analyze the continuum elastic structural mechanics: One is by applying Newton’s law of motion to a free body element...
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Vibrations of Inclined Bars with End Constraint
Considered are the vibrations of inclined bars with the bottom end flxed in space and the top end having a constraint which requires that this end...