Large dsplacement elastic stability analysis of plane and space structures under static and dynamic load

Dissertant

Shakir, Muhammad Qasim

University

University of Technology

Faculty

-

Department

Department of Building and Construction Engineering

University Country

Iraq

Degree

Master

Degree Date

2000

English Abstract

In this investigation, a theoretical analysis is presented for estimating the in-plane and in-space large displacement elastic stability behavior of structures subjected to either proportional or non-proportional increasing static and dynamic loads.

The analysis adopts the Beam-Column approach, which models the structure members as Beam-Column elements.

The formulation of the beam-column element is based on Eulerian approach allowing for the influence of the axial force on bending and torsional stiffness.

Also, change in member chord length due to axial deformation and flexural bowing are taken into account.

The formulation of the tangent stiffness matrix for plane and space structures, in local and global coordinates which takes into account the geometrical nonlinearity has been presented.

In addition, a special procedure used in the calculation of axial force has been explained.

In the static analysis, the load deflection curves of the structure are obtained by using N-R.

Method as a nonlinear incremental load control technique.

In the dynamic analysis, new mark-(3 methods is used as a time integration technique to plot the time-deformation curves.

Two methods are used for modeling the mass of the element.

Damping effect is expressed using Rayleigh damping matrix.

Also, several methods for detecting instability condition of structure have been presented.

For the implementation of the present analysis, two programs have been developed using QBASIC 4.5 language.

Some case studies have been solved to insure the effectiveness of the present formulation and the reliability of the results obtained by the programs.

A parametric study is made to show the effect of several-selected parameter on the static and dynamic response of structures.

As a result of this investigation, several important conclusions are obtained which insure the necessity of including such parameters in the large displacement elastic stability behavior of structures.

Main Subjects

Civil Engineering

Topics

• Construction engineering
• Engineering
• Architecture

• APA
• MLA
• AMA

Language

English

Data Type

Arab Theses

Record ID

BIM-306290