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· 분류 : 외국도서 > 건축/디자인 > 건축 > 공법/재료
· ISBN : 9780415565783
· 쪽수 : 668쪽
· 출판일 : 2014-02-24
목차
Review of some fundamentals
Introduction
The role of modelling (linear and nonlinear, discrete and continuous systems, deterministic and random data)
Some definitions and methods
Springs, dampers and masses
Summary and comments
Mathematical preliminaries
Introduction
Fourier series and Fourier transform
Laplace transform
Dirac delta and related topics
The notion of Hilbert space
Analytical mechanics: An overview
Introduction
Systems of material particles
The principle of virtual work and d’Alembert’s principle: Lagrange’s and Hamilton’s equations
Lagrange’s equations: Fundamental properties, some generalisations and complements
Hamilton’s principle
Small-amplitude oscillations
Single degree of freedom systems
Introduction
Harmonic oscillator I: Free vibration
Harmonic oscillator II: Forced vibration
Damping in real systems, equivalent viscous damping
Summary and comments
More SDOF systems: Shock response, transient response and some approximate methods
Introduction
Time domain: Impulse response function and Duhamel integral
Frequency and Laplace domains: Frequency response function and transfer function
Generalised SDOF systems
Rayleigh (energy) method and improved Rayleigh method
Summary and comments
Multiple degrees of freedom (MDOF) systems
Introduction
A simple undamped -DOF system: Free vibration
Undamped n-DOF systems: Free vibration
Eigenvalues and eigenvectors sensitivity analysis
A few considerations on the structure and properties of the matrices M, K and C
Unrestrained systems: Rigid-body modes
Damped systems: Proportional and nonproportional damping
Generalised and complex eigenvalue problems: Reduction to standard form
Summary and comments
More MDOF systems: Forced vibration and response analysis
Introduction
Mode superposition
Harmonic excitation: Proportional viscous damping
Time-domain and frequency-domain response
Systems with rigid-body modes
The case of nonproportional viscous damping
MDOF systems with hysteretic damping
A few remarks on other solution strategies: Laplace transform and direct integration
Frequency response functions of a -DOF system
Summary and comments
Continuous systems
Introduction
The flexible string in transverse motion
Free vibration of a finite string: Standing waves and normal modes
Axial and torsional vibrations of rods
Flexural (bending) vibrations of beams
A two-dimensional continuous system: The flexible membrane
The differential eigenvalue problem
Bending vibrations of thin plates
Forced vibration and response analysis: The modal approach
Some final considerations: Alternative form of FRFs and the introduction of damping
Summary and comments
MDOF and continuous systems: Approximate methods
Introduction
The rayleigh quotient
The Rayleigh?Ritz method
Summary and comments
Experimental modal analysis
Introduction
Experimental modal analysis: Overview of the fundamentals
Modal testing procedures
A few selected topics in experimental modal analysis
Summary and comments
Probability and statistics: Preliminaries to random vibrations
Introduction
On the concept of probability
Probability: Axiomatic formulation and some results
Random variables and distribution functions
Random vectors
More on conditional probability
Convergences and the law of large numbers
A few remarks on probability and statistics
Stochastic processes and random vibrations
Introduction
The concept of random process
Basic calculus of random processes
Spectral representation of random processes
Response of linear systems to random excitation
Stationary narrowband processes: A few selected topics
Summary and comments
Appendices
References
Index
