Humar Dynamics of Structures, Third Edition

3. Auflage 2012
ISBN: 978-0-203-11256-4
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 1058 Seiten

This major textbook provides comprehensive coverage of the analytical tools required to determine the dynamic response of structures. The topics covered include: formulation of the equations of motion for single- as well as multi-degree-of-freedom discrete systems using the principles of both vector mechanics and analytical mechanics; free vibration response; determination of frequencies and mode shapes; forced vibration response to harmonic and general forcing functions; dynamic analysis of continuous systems;and wave propagation analysis.
The key assets of the book include comprehensive coverage of both the traditional and state-of-the-art numerical techniques of response analysis, such as the analysis by numerical integration of the equations of motion and analysis through frequency domain. The large number of illustrative examples and exercise problems are of great assistance in improving clarity and enhancing reader comprehension.
The text aims to benefit students and engineers in the civil, mechanical, and aerospace sectors.

Autoren/Hrsg.

Humar, J.

Fachgebiete

• Technische Wissenschaften Bauingenieurwesen Konstruktiver Ingenieurbau, Baustatik
• Technische Wissenschaften Bauingenieurwesen Technische Dynamik (Modalanalyse), Erdbebensicherheit
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Statik, Dynamik, Kinetik, Kinematik

Inhaltsverzeichnis

1 Introduction

1.1 Objectives of the study of structural dynamics

1.2 Importance of vibration analysis

1.3 Nature of exciting forces

1.3.1 Dynamic forces caused by rotating machinery

1.3.2 Wind loads

1.3.3 Blast loads
1.3.4 Dynamic forces caused by earthquakes

1.3.5 Periodic and nonperiodic loads

1.3.6 Deterministic and nondeterministic loads

1.4 Mathematical modeling of dynamic systems

1.5 Systems of units

1.6 Organization of the text

PART 1
2 Formulation of the equations of motion: Single-degree-of-freedom systems

2.1 Introduction

2.2 Inertia forces

2.3 Resultants of inertia forces on a rigid body

2.4 Spring forces

2.5 Damping forces

2.6 Principle of virtual displacement

2.7 Formulation of the equations of motion

2.7.1 Systems with localized mass and localized stiffness

2.7.2 Systems with localized mass but distributed stiffness

2.7.3 Systems with distributed mass but localized stiffness
2.7.4 Systems with distributed stiffness and distributed mass

2.8 Modeling of multi-degree-of-freedom discrete parameter system

2.9 Effect of gravity load

2.10 Axial force effect

2.11 Effect of support motion

Selected readings

Problems

3 Formulation of the equations of motion: Multi-degree-of-freedom systems
3.1 Introduction
3.2 Principal forces in multi-degree-of-freedom dynamic system

3.2.1 Inertia forces

3.2.2 Forces arising due to elasticity

3.2.3 Damping forces

3.2.4 Axial force effects

3.3 Formulation of the equations of motion

3.3.1 Systems with localized mass and localized stiffness

3.3.2 Systems with localized mass but distributed stiffness

3.3.3 Systems with distributed mass but localized stiffness

3.3.4 Systems with distributed mass and distributed stiffness

3.4 Transformation of coordinates

3.5 Static condensation of stiffness matrix

3.6 Application of Ritz method to discrete systems

Selected readings

Problems

4 Principles of analytical mechanics

4.1 Introduction

4.2 Generalized coordinates

4.3 Constraints

4.4 Virtual work

4.5 Generalized forces

4.6 Conservative forces and potential energy

4.7 Work function

4.8 Lagrangian multipliers

4.9 Virtual work equation for dynamical systems

4.10 Hamilton’s equation

4.11 Lagrange’s equation

4.12 Constraint conditions and Lagrangian multipliers

4.13 Lagrange’s equations for multi-degree-of-freedom systems

4.14 Rayleigh’s dissipation function

Selected readings

Problems
PART 2
5 Free vibration response: Single-degree-of-freedom system

5.1 Introduction

5.2 Undamped free vibration

5.2.1 Phase plane diagram

5.3 Free vibrations with viscous damping

5.3.1 Critically damped system

5.3.2 Overdamped system

5.3.3 Underdamped system

5.3.4 Phase plane diagram

5.3.5 Logarithmic decrement

5.4 Damped free vibration with hysteretic damping

5.5 Damped free vibration with coulomb damping

5.5.1 Phase plane representation of vibrations under Coulomb damping

Selected readings

Problems

6 Forced harmonic vibrations: Single-degree-of-freedom system

6.1 Introduction

6.2 Procedures for the solution of the forced vibration equation

6.3 Undamped harmonic vibration

6.4 Resonant response of an undamped system

6.5 Damped harmonic vibration

6.6 Complex frequency response

6.7 Resonant response of a damped system

6.8 Rotating unbalanced force

6.9 Transmitted motion due to support movement

6.10 Transmissibility and vibration isolation

6.11 Vibration measuring instruments

6.11.1 Measurement of support acceleration

6.11.2 Measurement of support displacement

6.12 Energy dissipated in viscous damping

6.13 Hysteretic damping

6.14 Complex stiffness

6.15 Coulomb damping

6.16 Measurement of damping

6.16.1 Free vibration decay

6.16.2 Forced-vibration response

Selected readings

Problems

7 Response to general dynamic loading and transient response

7.1 Introduction

7.2 Respo