Fundamentals of Structural Dynamics – Ebook Instant Download/Delivery ISBN(s): 9780128237045,012823704X
Product details:
- ISBN-10 : 012823704X
- ISBN-13 : 978-0128237045
- Author(s):
Table contents:
1 Overview of Structural Vibrations
1.1 Objectives
1.2 Characteristics of Structural Vibrations
1.3 Classification of Vibrations
1.4 Some typical issues in structural vibrations
1.5 Main Tasks of the Response analysis
Problems
2 Formulation of equations of motion
2.1 System constraints
2.2 Description of structural vibrating configuration
2.3 Direct balance method
2.4 Principle of virtual displacements
2.5 Lagrange’s Equations
2.6 Hamilton’s Principle
2.7 Principle of Total Potential Energy with Stationary Value in Elastic System Dynamics
2.8 “Set in right position” rule for formulating system matrices and computer programs
Problems
3 Vibration Analysis of Single-Degree-of-Freedom System
3.1 Free vibrations
3.2 Responses of Single degree of freedom system to harmonic loading
3.3 Vibrations caused by base motion and vibration isolation
3.4 Introductions to the damping theory
3.5 Determination of the viscos-damping ratio by experimental method
3.6 Response of a single degree of freedom system to periodic loading
3.7 Response of a single degree of freedom system to impulsive loading
3.8 Time integration analysis for dynamic responses
Problems
4 Vibration Analysis of Multi-Degree-of-Freedom System
4.1 The dynamic characteristics of the system.
4.2 Modal expansion and normalized equations of motion for multi-degree-of-freedom systems
4.3 Free vibration responses of undamped systems
4.4 Response of damped system to arbitrary dynamic loads
4.5 Response of undamped system to arbitrary dynamic loads
Problems
5 Vibration analysis of continuous system (straight beam)
5.1 Equations of motion for undamped straight beam in bending
5.2 Modal expansion techniques and the orthogonality of modal shapes for linear vibrations of straight beam
5.3 Free transverse vibrations of undamped straight beam
5.4 Forced flexural vibrations of undamped straight beam
5.5 Forced flexural vibrations of damped straight beam
Problems
6 Approximate calculation of natural frequencies and modal shapes
6.1 Rayleigh energy method
6.2 Rayleigh-Ritz method
6.3 Stodola-Vianello method
6.4 Subspace iteration method
6.5 Degree of freedom reduction in vibration analysis
Problems
7 Step-by step integration methods
7.1 Basic concepts of methods
7.2 Linear acceleration method
7.3 The Wilson- Method
7.4 The Newmark-β method
7.5 Stability and accuracy analysis of the step-by-step integration methods
Problems
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