Vibration and stability analysis of frame-type structures and plates using beam-column analogy

Other Title(s)

التحليل الاهتزازي و الاستقراري للمنشآت الهيكلية و الصفائح باستخدام نموذج عتبة-عمود

Dissertant

Ali, Ammar Abbas

University

University of Technology

Faculty

-

Department

Department of Building and Construction Engineering

University Country

Iraq

Degree

Ph.D.

Degree Date

2004

English Abstract

With the increasing use of frame-type structures that span long distances, there is a need for methods to design and to determine, in sufficient accuracy, the behavior of the structure- under either static and / or dynamic loading.

The most important: in these two fields are: vibration and stability analysis.

The overall objective of this dissertation is to present an exact method besides the conventional approximate methods utilized in solving frame-type structures for both stability and vibration.

The overall objective may be broken into three parts.

The first part concerns the development of a three-dimensional total Lagrangian beam- that is used to determine the natural frequency and critical load for the structure.

The second part deals with the problem of approximating plate behavior (both dynamic and: static) by using equivalent grid-framework model.

The emphasis, for plate analysis, is on the stability and vibration analysis without dealing with nonlinear static and dynamic response.

However, the nonlinear static and' dynamic analysis may be regarded as a subtopic of dynamic stability which-will ; be addressed as part three of this dissertation.

Numerical results are presented for many example problems, and they indicate that the adopted method is reasonably accurate.

For the first three frequencies of non-prismatic simply-supported beam, it is seen that the exact method adopted here using stepped model gives more accurate results (accuracy within 4 %) than that of FEM tapered elements (accuracy within 25 %).

For vibration analysis of plates using beam-column analogy the percentage of error is depending on mesh size.

For rough modeling of plate element free-free opposite sides by simple-simple supported opposite sides it found the percentage of error of the first three natural frequencies increase from -0.1 to 9.5 % for 4*4 mesh size and 0 to 2.7% for 8 x 8 mesh size.

Main Subjects

Civil Engineering

Topics

• Measurement

• APA
• MLA
• AMA

Language

English

Data Type

Arab Theses

Record ID

BIM-305816