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Mechanical Vibrations in Spacecraft Design

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ISBN-10: 3540405305

ISBN-13: 9783540405306

Edition: 2004

Authors: Jaap J. Wijker

List price: $169.99
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Description:

All typical and special modal and response analysis methods, applied within the frame of the design of spacecraft structures, are described in this book. It therefore addresses graduate students and engineers in the aerospace field.
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Book details

List price: $169.99
Copyright year: 2004
Publisher: Springer Berlin / Heidelberg
Publication date: 10/15/2003
Binding: Hardcover
Pages: 436
Size: 6.10" wide x 9.25" long x 1.25" tall
Weight: 3.960
Language: English

Introduction
Why Another Book about Mechanical Vibrations?
A Short Overview of Theory
Single Degree of Freedom (sdof) Systems
Damped Vibrations
Multi-Degrees of Freedom (mdof) Dynamic Systems
Modal Analysis
Modal Effective Mass
Response Analysis
Transient Response Analysis
Random Vibrations
Shock-Response Spectrum
Acoustic Loads, Structural Responses
Statistical Energy Analy sis
Inertia-Relief
Mode Acceleration Method
Residual Vectors
Dynamic Model Reduction
Component Model Synthesis
Load Transformation Matrices
Problems
Problem 1
Single Degree of Freedom System
Introduction
Undamped Sdof System
Solution of an Sdof System with Initial Conditions
Solution of an Sdof System with Applied Forces
Damped Vibration and the Damping Ratio
Solution of the Sdof System in the Time Domain
Solution of the Damped Sdof System with Applied Forces
Solution in the Frequency Domain
State Space Representation of the Sdof System
Problems
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Damping Models
Introduction
Damped Vibration50
Linear Damping
Viscous Damping
Structural Damping
Loss Factor
Amplification Factor
Modal Viscous Damping
Modal Structural Damping
Discussion of Modal Damping
Method of Determining Damping from Measurements
The Half-Power Point Method
Problems
Problem 1
Problem 2
Multi-Degrees of Freedom Linear Dynamic Systems
Introduction
Derivation of the Equations of Motion
Undamped Equations of Motion with Newton's Law
Undamped Equations of Motion using Energies
Undamped Equations of Motion using Lagrange's Equations
Damped Equations of Motion using Lagrange's Equations
Finite Element Method
Problems
Problem 1
Problem 2
Modal Analysis
Introduction
Undamped Linear Dynamic Systems
Natural Frequencies and Mode Shapes
Orthogonality Relations of Modes
Rigid-Body Modes
Left Eigenvectors
Damped Linear Dynamic Systems
The State Vector
Eigenvalue Problem
Eigenvectors
Problems
Problem 1
Problem 2
Natural Frequencies, an Approximation
Introduction
Static Displacement Method
Ray leigh's Quotient
Dunkerley's Method
Problems
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Modal Effective Mass
Introduction
Enforced Acceleration
Modal Effective Masses of an Mdof System
Problems
Problem 1
Problem 2
Response Analysis
Introduction
Forces and Enforced Acceleration
Relative Motions
Absolute Motions
Large-Mass Approach
Problems
Problem 1
Problem 2
Problem 3
Transient-Response Analysis
Introduction
Numerical Time Integration
Discrete Solution Convolution Integral
Explicit Time-Integration MethopP155
Implicit Time-Integration Methods
Stability
Explicit Time-Integration
Central Difference Method
Runge-Kutta Formulae for First-Order Differential Equations
Runge-Kutta-Nystrom Method for S-O Differential Equations
Implicit Time Integration
Houbolt Method
Wilson theta Method
Newmark-beta Method
The Hughes, Hilber and Taylor (HHT) alpha-Method
The Wood, Bossak and Zienkiewicz (WBZ) alpha-Method
The Generalised-alpha Algorithm
Piecewise Linear Method
Problems
Problem 1
Problem 2
Problem 3
Shock-Response Spectrum
Introduction
Enforced Acceleration
Numerical Calculation of the SRS, the Piecewise Exact Method
Response Analysis in Combination with Shock-Response Spectra
Matching Shock Spectra with Synthesised Time Histories
Problems
Problem 1
Problem 2
Random Vibration of Linear Dynamic Systems
Introduction
Random Process
Power-Spectral Density
Deterministic Linear Dynamic System
Force-Loaded Sdof System
Enforced Acceleration
Multi-Inputs and Single Output (MISO)
Deterministic Mdof Linear Dynamic System
Random Forces
Random Base Excitation
Random Stresses and Forces
Analysis of Narrow-Band Processes
Crossings
Fatigue Damage due to Random Excitation
Some Practical Aspects
Problems
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Low-Frequency Acoustic Loads, Structural Responses
Introduction
Acoustic Loads
Equations of Motion
Problems
Problem 1
Problem 2
Statistical Energy Analysis
Introduction
Some Basics about Averaged Quantities
Two Coupled Oscillators
Multimode Subsystems
SEA Parameters
Subsystem Modal Densities
Source Power Input
Subsystem Energies
Damping Loss Factor
Coupling Loss Factor
Stresses and Strains
Problems
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Free-free Dynamic Systems, Inertia Relief
Introduction
Relative Motion
Relative Forces
Flexibility Matrix
Problems
Problem 1
Mode Acceleration Method
Introduction
Decomposition of Flexibility and Mass Matrix
Decomposition of the Flexibility Matrix
Decomposition of the Mass Matrix
Convergence Properties of Reconstructed Matrices
Mode Acceleration Method
Problems
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Introduction
Residual Vectors
Dickens Method
Rose Method
Problems
Problem 1
Dynamic Model Reduction Methods
Introduction
Static Condensation Method
Improved Calculation of Eliminated Dofs
Dynamic Reduction
Improved Reduced System (IRS)
Craig-Bampton Reduced Models
Generalised Dynamic Reduction
System Equivalent Reduction Expansion Process (SEREP)
Ritz Vectors
Conclusion
Introduction
The Unified CMS Method
Modal Truncation
General Synthesis of Two Components
General Example
Special CMS Methods
Craig-Bampton Fixed-Interface Method
Free-Interface Method
General-Purpose CMS Method
Problems
Problem 1
Problem 2
Load Transformation Matrices
Introduction
Reduced Model with Boundary Conditions
Reduced Free-Free Dynamic Model
Continuous Dynamic Systems
Problems
Problem 1
Problem 2
Problem 3
Problem 4
References
Author Index
Subject Index
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