Theory of vibration with applications / 5th ed.
副标题：无
作 者：William T. Thomson, Marie Dillon Dahleh.
分类号：
ISBN：9787302121374
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简介
本书是振动理论的典型教材之一，以讲述线性振动理论为主，从单自
由度、多自由度到连续体，从自由振动到强迫振动（包括无阻尼和有阻尼
情况），从间谐激励、冲击激励到一般激励，最后两章还介绍了随机振动
和非线性振动，内容丰富、叙述清晰、例题和习题与工程应用相结合，是
一本在国外受到普遍赞赏的畅销教材，至今已经出到第5版。
利用计算机分析多自由度、复杂结构系统动力响应的数值分析方法已
经成为解决工程振动问题必不可少的重要手段，在这方面本书为读者打下
了坚实的理论基础。第5版更加强了学生利用MATLAB等软件求解工程振动问
题能力的训练。
本书内容与我国多学时振动理论课程的教学要求相近，可以作为力学
、汽车等专业本科生和工科专业研究生振动理论课程的外文教材或参考书
，也可供有关工程设计人员和研究人员参考。
目录
preface
the si system of units.
chapter 1 oscillatory motion
1.1 harmonic motion
1.2 periodic motion
1.3 vibration terminology
chapter 2 free vibration
2.1 vibration model
2.2 equation of motion: natural frequency
2.3 energy method
2.4 rayleigh method: effective mass
2.5 principle of virtual work
2.6 viscously damped free vibration
2.7 logarithmic decrement
2.8 coulomb damping
chapter 3 harmonically excited vibration
3.1 forced harmonic vibration
3.2 rotating unbalance
3.3 rotor unbalance
3.4 whirling of rotating shafts
.3.5 support motion
3.6 vibration isolation
3.7 energy dissipated by damping
3.8 equivalent viscous damping
3.9 structural damping
3.10 sharpness of resonance
3.11 vibration-measuring instruments
chapter 4 transient vibration
4.1 impulse excitation
4.2 arbitrary excitation
4.3 laplace transform formulation
4.4 pulse excitation and rise time
4.5 shock response spectrum
4.6 shock isolation
4.7 finite difference numerical computation
4.8 runge-kutta method
chapter 5 systems with two or more degrees of freedom
5.1 the normal mode analysis
5.2 initial conditions
5.3 coordinate coupling
5.4 forced harmonic vibration
5.5 finite difference method for systems of equations
5.6 vibration absorber
5.7 centrifugal pendulum vibration absorber
5.8 vibration damper
chapter 6 properties of vibrating
systems
6.1 flexibility influence coefficients
6.2 reciprocity theorem
6.3 stiffness influence coefficients
6.4 stiffness matrix of beam elements
6.5 static condensation for pinned joints
6.6 orthogonality of eigenvectors
6.7 modal matrix
6.8 decoupling forced vibration equations
6.9 modal damping in forced vibration
6.10 normal mode summation
6.11 equal roots..
6.12 unrestrained (degenerate) systems
chapter 7 lagrange's equation
7.1 generalized coordinates
7.2 virtual work
7.3 lagrange's equation
kinetic energy, potential energy,
and generalized force in terms of
generalized coordinates q
assumed mode summation
computational methods
root solving
eigenvectors by gauss elimination
matrix iteration
convergence of the iteration procedure
the dynamic matrix
transformation coordinates (standard
computer form)
systems with discrete mass matrix
cholesky decomposition
jacobi diagonalization
qr method for eigenvalue and
eigenvector calculation
vibration of continuous
systems
vibrating string
longitudinal vibration of rods
torsional vibration of rods
vibration of suspension bridges
euler equation for beams
system with repeated identical sections
chapter 10 introduction to the finite element method
10.1 element stiffness and mass
10.2 stiffness and mass for the beam element
10.3 transformation of coordinates(global coordinates)
10.4 element stiffness and element mass in global coordinates
10.5 vibrations involving beam elements
10.6 spring constraints on structure
10.7 generalized force for distributed load
10.8 generalized force proportional to displacement
chapter 11 mode-summation procedures for continuous systems
11.1 mode-summation method
11.2 normal modes of constrained structures
11.3 mode-acceleration method
11.4 component-mode synthesis
chapter 12 classical methods
12.1 rayleigh method
12.2 dunkerley's equation
12.3 rayleigh-ritz method
12.4 holzer method
12.5 digital computer program for the torsional system
12.6 myklestad's method for beams
12.7 coupled flexure-torsion vibration
12.8 transfer matrices
12.9 systems with damping
12.10 geared system
12.11 branched systems
12.12 transfer matrices for beams
chapter 13 random vibrations
13.1 random phenomena
13.2 time averaging and expected value
13.3 frequency response function
13.4 probability distribution
13.5 correlation
13.6 power spectrum and power spectral density
13.7 fourier transforms
13.8 fts and response
chapter 14 nonlinear vibrations
14.1 phase plane
14.2 conservative systems
14.3 stability of equilibrium
14.4 method of isoclines
14.5 perturbation method
14.6 method of iteration
14.7 self-excited oscillations
14.8 runge-kutta method
appendices
a specifications of vibration bounds
b introduction to laplace transformation
c determinants and matirces
d normal modes of uniform beams
e introduction to matlab
f computer programs...
g convergence to higher modes
answers to selected problems
index
the si system of units.
chapter 1 oscillatory motion
1.1 harmonic motion
1.2 periodic motion
1.3 vibration terminology
chapter 2 free vibration
2.1 vibration model
2.2 equation of motion: natural frequency
2.3 energy method
2.4 rayleigh method: effective mass
2.5 principle of virtual work
2.6 viscously damped free vibration
2.7 logarithmic decrement
2.8 coulomb damping
chapter 3 harmonically excited vibration
3.1 forced harmonic vibration
3.2 rotating unbalance
3.3 rotor unbalance
3.4 whirling of rotating shafts
.3.5 support motion
3.6 vibration isolation
3.7 energy dissipated by damping
3.8 equivalent viscous damping
3.9 structural damping
3.10 sharpness of resonance
3.11 vibration-measuring instruments
chapter 4 transient vibration
4.1 impulse excitation
4.2 arbitrary excitation
4.3 laplace transform formulation
4.4 pulse excitation and rise time
4.5 shock response spectrum
4.6 shock isolation
4.7 finite difference numerical computation
4.8 runge-kutta method
chapter 5 systems with two or more degrees of freedom
5.1 the normal mode analysis
5.2 initial conditions
5.3 coordinate coupling
5.4 forced harmonic vibration
5.5 finite difference method for systems of equations
5.6 vibration absorber
5.7 centrifugal pendulum vibration absorber
5.8 vibration damper
chapter 6 properties of vibrating
systems
6.1 flexibility influence coefficients
6.2 reciprocity theorem
6.3 stiffness influence coefficients
6.4 stiffness matrix of beam elements
6.5 static condensation for pinned joints
6.6 orthogonality of eigenvectors
6.7 modal matrix
6.8 decoupling forced vibration equations
6.9 modal damping in forced vibration
6.10 normal mode summation
6.11 equal roots..
6.12 unrestrained (degenerate) systems
chapter 7 lagrange's equation
7.1 generalized coordinates
7.2 virtual work
7.3 lagrange's equation
kinetic energy, potential energy,
and generalized force in terms of
generalized coordinates q
assumed mode summation
computational methods
root solving
eigenvectors by gauss elimination
matrix iteration
convergence of the iteration procedure
the dynamic matrix
transformation coordinates (standard
computer form)
systems with discrete mass matrix
cholesky decomposition
jacobi diagonalization
qr method for eigenvalue and
eigenvector calculation
vibration of continuous
systems
vibrating string
longitudinal vibration of rods
torsional vibration of rods
vibration of suspension bridges
euler equation for beams
system with repeated identical sections
chapter 10 introduction to the finite element method
10.1 element stiffness and mass
10.2 stiffness and mass for the beam element
10.3 transformation of coordinates(global coordinates)
10.4 element stiffness and element mass in global coordinates
10.5 vibrations involving beam elements
10.6 spring constraints on structure
10.7 generalized force for distributed load
10.8 generalized force proportional to displacement
chapter 11 mode-summation procedures for continuous systems
11.1 mode-summation method
11.2 normal modes of constrained structures
11.3 mode-acceleration method
11.4 component-mode synthesis
chapter 12 classical methods
12.1 rayleigh method
12.2 dunkerley's equation
12.3 rayleigh-ritz method
12.4 holzer method
12.5 digital computer program for the torsional system
12.6 myklestad's method for beams
12.7 coupled flexure-torsion vibration
12.8 transfer matrices
12.9 systems with damping
12.10 geared system
12.11 branched systems
12.12 transfer matrices for beams
chapter 13 random vibrations
13.1 random phenomena
13.2 time averaging and expected value
13.3 frequency response function
13.4 probability distribution
13.5 correlation
13.6 power spectrum and power spectral density
13.7 fourier transforms
13.8 fts and response
chapter 14 nonlinear vibrations
14.1 phase plane
14.2 conservative systems
14.3 stability of equilibrium
14.4 method of isoclines
14.5 perturbation method
14.6 method of iteration
14.7 self-excited oscillations
14.8 runge-kutta method
appendices
a specifications of vibration bounds
b introduction to laplace transformation
c determinants and matirces
d normal modes of uniform beams
e introduction to matlab
f computer programs...
g convergence to higher modes
answers to selected problems
index
Theory of vibration with applications / 5th ed.
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