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The analysis and design of structures to resist the effect produced by time dependent forces or motions requires conceptual idealizations and simplifying assumptions through which the physical system is represented by an idealized system known as the analytical or mathematical model. These idealizations or simplifying assumptions may be classified in the following groups;
Material assumptions
Loading assumptions
Geometric assumptions

Structrual Dynamics Theory and Computation

Title of the Book

Structural Dynamics
Theory and Computation

Fifth Edition
Updated with SAP2000

Authors of the Book

Mario Paz
Speed Scientific School
University of Louisville
Louisille, KY
William Leigh
University of Central Florida
Orlando, FL.

Contents of the Book

Part 1 Structures Modeled as a Single-Degree-of-Freedom System
Part 2 Structures Modeled As Shear Buildings
Part III Framed Structures Modeled As Discrete Multi-Degree-of-Freedom Systems
Part IV Structures Modeled with distributed properties
Part V Special Topics: Fourier Analysis, Evaluation of Absolute Damping, Generalized coordinates
Part VI Random Vibration
Part VII EarthQuake Engineering

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What is Wobble Coefficient in post tensioning system?

Lets us answer this question from scratch, the word wobble means unsteady jerking movement from one end to other or move unevenly while coefficient is a symbol or number that defines the relation between two or more variables.

While post tensioning we use strand wire that is being joined by twisting around one and other to make a tendon, this tendon is to be inserted within a profile pipe called sheathing or duct after the concrete will achieve a specified compressive strength.

Sometimes the jacking force is applied from one end or both ends. The duct or profile pipe is to be inserted as per the designed curvature and location. The strand wire or tendon can’t be completely set as per the designed curvature and profile due to field restrictions and faulty workmanship.

Due to these reasons the curvature is bit shifted from the designed curvature and thus causes some loss in tensioning force. When jacking force is applied at one end, it decreases as we moves to the farther end due to friction between the tendon and the profile pipe or duct, this friction losses is of two types,

1)      Curvature friction loss

2)      Wobble friction loss

Curvature friction loss is basically the loss in tensioning or jacking force due to design curvature while wobble friction or wobble coefficient is a function of unintended deviation due to faulty workmanship or field restrictions.

Wobble coefficient is usually denoted by K and is measured in units of per length. It is found by multiplying the jacking force at any distance from jacking end with the average of the intended angular deviation from the design profile.

Usually having value of 0.0088. 

Structural Dynamics and Vibration in Practice by Douglas Thorby Download PDF free

This book is primarily intended as an introductory text for newly qualified graduates, and experienced engineers from other disciplines, entering the field of structural dynamics and vibration, in industry. It should also be found useful by test engineers and technicians working in this area, and by those studying the subject in universities, although it is not designed to meet the requirements of any particular course of study.

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No previous knowledge of structural dynamics is assumed, but the reader should be familiar with the elements of mechanical or structural engineering, and a basic knowledge of mathematics is also required. This should include calculus, complex numbers and matrices. Topics such as the solution of linear second-order differential equations, and eigenvalues and eigenvectors , are explained in the text.

Each concept is explained in the simplest possible way, and the aim has been to give the reader a basic understanding of each topic, so that more specialize d texts can be tackled with confidence

Title of the Book

Structural Dynamics and vibration in Practice
An Engineering Handbook

Author of the Book

Douglas Thorby

Contents

Basic Concepts
The Linear Single Degree of Freedom System: Classic Methods
The linear Single Degree of Freedom System: Response in the time Domain
The Linear Single Degree of Freedom system: Response In the Frequency Domain
Damping
Introduction to Multi-degree-of-freedom systems
Eigenvalues and Eigenvectors
Vibration of Structure
Fourier Transformation and Related topics
Random vibration
Vibration Reduction
Introduction to Self-Excited Systems
Vibration Testing

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