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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... -
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. -
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.... -
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... -
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... -
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... -
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... -
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... -
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-... -
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... -
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... -
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... -
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... -
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... -
2 Outline
The monograph is structured as follows: Part I including Chapts. 3–6 reviews briefly the theoretical background of the deterministic methods and... -
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... -
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... -
6 Dynamic Analysis
A general dynamical system subjected to an external force vector $\vec{f}(t)$... -
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... -
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...