000			16060nam a2200349 i 4500
008			111115s2012 flua b 001 0 eng
010			_a2011046841
020			_a9780415620864
020			_a0415620864
035			_a(OCoLC)748331521
040			_aDLC _beng _cDLC _dBTCTA _dYDXCP _dCDX _dBWX
049			_aBAUN_MERKEZ
050	0	4	_aTA654 _b.H79 2012
082	0	0	_223
100	1		_aHumar, J. L
245	1	0	_aDynamics of structures / _cJagmohan L. Humar
250			_a3rd ed
264		1	_aBoca Raton, FL : _bCRC Press - Taylor and Francis Croup, _c[2012]
264		4	_c©2012
300			_axxvii, 1028 pages : _billustrations ; _c26 cm
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
500			_a"A Balkema Book."
504			_aIncludes bibliographical references and index
505	0	0	_tContents _t Preface _t Preface to Second Edition _t List of symbols _t1. Introduction _t1.1. Objectives of the study of structural dynamics _t1.2. Importance of vibration analysis _t1.3. Nature of exciting forces _t1.3.1. Dynamic forces caused by rotating machinery _t1.3.2. Wind loads _t1.3.3. Blast loads _t1.3.4. Dynamic forces caused by earthquakes _t1.3.5. Periodic and nonperiodic loads _t1.3.6. Deterministic and nondeterministic loads _t1.4. Mathematical modeling of dynamic systems _t1.5. Systems of units _t1.6. Organization of the text _t PART 1 _t2. Formulation of the equations of motion: Single-degree-of-freedom systems _t2.1. Introduction _t2.2. Inertia forces _t2.3. Resultants of inertia forces on a rigid body _t2.4. Spring forces _t2.5. Damping forces _t2.6. Principle of virtual displacement _t2.7. Formulation of the equations of motion _t2.7.1. Systems with localized mass and localized stiffness _t2.7.2. Systems with localized mass but distributed stiffness _t2.7.3. Systems with distributed mass but localized stiffness _t2.7.4. Systems with distributed stiffness and distributed mass _t2.8. Modeling of multi-degree-of-freedom discrete parameter system _t2.9. Effect of gravity load _t2.10. Axial force effect _t2.11. Effect of support motion _t Selected readings _t Problems _t3. Formulation of the equations of motion: Multi-degree-of-freedom systems _t3.1. Introduction _t3.2. Principal forces in multi-degree-of-freedom dynamic system _t3.2.1. Inertia forces _t3.2.2. Forces arising due to elasticity _t3.2.3. Damping forces _t3.2.4. Axial force effects _t3.3. Formulation of the equations of motion _t3.3.1. Systems with localized mass and localized stiffness _t3.3.2. Systems with localized mass but distributed stiffness _t3.3.3. Systems with distributed mass but localized stiffness _t3.3.4. Systems with distributed mass and distributed stiffness _t3.4. Transformation of coordinates _t3.5. Static condensation of stiffness matrix _t3.6. Application of Ritz method to discrete systems _t Selected readings _t Problems _t4. Principles of analytical mechanics _t4.1. Introduction _t4.2. Generalized coordinates _t4.3. Constraints _t4.4. Virtual work _t4.5. Generalized forces _t4.6. Conservative forces and potential energy _t4.7. Work function _t4.8. Lagrangian multipliers _t4.9. Virtual work equation for dynamical systems _t4.10. Hamilton's equation _t4.11. Lagrange's equation _t4.12. Constraint conditions and Lagrangian multipliers _t4.13. Lagrange's equations for multi-degree-of-freedom systems _t4.14. Rayleigh's dissipation function _t Selected readings _t Problems _t PART 2 _t5. Free vibration response: Single-degree-of-freedom system _t5.1. Introduction _t5.2. Undamped free vibration _t5.2.1. Phase plane diagram _t5.3. Free vibrations with viscous damping _t5.3.1. Critically damped system _t5.3.2. Overdamped system _t5.3.3. Underdamped system _t5.3.4. Phase plane diagram _t5.3.5. Logarithmic decrement _t5.4. Damped free vibration with hysteretic damping _t5.5. Damped free vibration with coulomb damping _t5.5.1. Phase plane representation of vibrations under Coulomb damping _t Selected readings _t Problems _t6. Forced harmonic vibrations: Single-degree-of-freedom system _t6.1. Introduction _t6.2. Procedures for the solution of the forced vibration equation _t6.3. Undamped harmonic vibration _t6.4. Resonant response of an undamped system _t6.5. Damped harmonic vibration _t6.6. Complex frequency response _t6.7. Resonant response of a damped system _t6.8. Rotating unbalanced force _t6.9. Transmitted motion due to support movement _t6.10. Transmissibility and vibration isolation _t6.11. Vibration measuring instruments _t6.11.1. Measurement of support acceleration _t6.11.2. Measurement of support displacement _t6.12. Energy dissipated in viscous damping _t6.13. Hysteretic damping _t6.14. Complex stiffness _t6.15. Coulomb damping _t6.16. Measurement of damping _t6.16.1. Free vibration decay _t6.16.2. Forced-vibration response _t Selected readings _t Problems _t7. Response to general dynamic loading and transient response _t7.1. Introduction _t7.2. Response to an Impulsive Force _t7.3. Response to general dynamic loading _t7.4. Response to a step function load _t7.5. Response to a ramp function load _t7.6. Response to a step function load with rise time _t7.7. Response to shock loading _t7.7.1. Rectangular pulse _t7.7.2. Triangular pulse _t7.7.3. Sinusoidal pulse _t7.7.4. Effect of viscous damping _t7.7.5. Approximate response analysis for short-duration pulses _t7.8. Response to ground motion _t7.8.1. Response to a short-duration ground motion pulse _t7.9. Analysis of response by the phase plane diagram _t Selected readings _t Problems _t8. Analysis of single-degree-of-freedom systems: Approximate and numerical methods _t8.1. Introduction _t8.2. Conservation of energy _t8.3. Application of Rayleigh method to multi-degree-of-freedom systems _t8.3.1. Flexural vibrations of a beam _t8.4. Improved Rayleigh method _t8.5. Selection of an appropriate vibration shape _t8.6. Systems with distributed mass and stiffness: analysis of internal forces _t8.7. Numerical evaluation of Duhamel's integral _t8.7.1. Rectangular summation _t8.7.2. Trapezoidal method _t8.7.3. Simpson's method _t8.8. Direct integration of the equations of motion _t8.9. Integration based on piece-wise linear representation of the excitation _t8.10. Derivation of general formulas _t8.11. Constant-acceleration method _t8.12. Newmark's β method _t8.12.1. Average acceleration method _t8.12.2. Linear acceleration method _t8.13. Wilson-method _t8.14. Methods based on difference expressions _t8.14.1. Central difference method _t8.14.2. Houbolt's method _t8.15. Errors involved in numerical integration _t8.16. Stability of the integration method _t8.16.1. Newmark's β method _t8.16.2. Wilson-method _t8.16.3. Central difference method _t8.16.4. Houbolt's method _t8.17. Selection of a numerical integration method _t8.18. Selection of time step _t Selected readings _t Problems _t9. Analysis of response in the frequency domain _t9.1. Transform methods of analysis _t9.2. Fourier series representation of a periodic function _t9.3. Response to a periodically applied load _t9.4. Exponential form of Fourier series _t9.5. Complex frequency response function _t9.6. Fourier integral representation of a nonperiodic load _t9.7. Response to a nonperiodic load _t9.8. Convolution integral and convolution theorem _t9.9. Discrete Fourier transform _t9.10. Discrete convolution and discrete convolution theorem _t9.11. Comparison of continuous and discrete fourier transforms _t9.12. Application of discrete inverse transform _t9.13. Comparison between continuous and discrete convolution _t9.14. Discrete convolution of an infinite- and a finite-duration waveform _t9.15. Corrective response superposition methods _t9.15.1. Corrective transient response based on initial conditions _t9.15.2. Corrective periodic response based on initial conditions _t9.15.3. Corrective responses obtained from a pair of force pulses _t9.16. Exponential window method _t9.17. The fast Fourier transform _t9.18. Theoretical background to fast Fourier transform _t9.19. Computing speed of FFT convolution _t Selected readings _t Problems _t PART 3 _t10. Free vibration response: Multi-degree-of-freedom system _t10.1. Introduction _t10.2. Standard eigenvalue problem _t10.3. Linearized eigenvalue problem and its properties _t10.4. Expansion theorem _t10.5. Rayleigh quotient _t10.6. Solution of the undamped free vibration problem _t10.7. Mode superposition analysis of free-vibration response _t10.8. Solution of the damped free-vibration problem _t10.9. Additional orthogonality conditions _t10.10. Damping orthogonality _t Selected readings _t Problems _t11. Numerical solution of the eigenproblem _t11.1. Introduction _t11.2. Properties of standard eigenvalues and eigenvectors _t11.3. Transformation of a linearized eigenvalue
505	0	0	_t problem to the standard form _t11.4. Transformation methods _t11.4.1. Jacobi diagonalization _t11.4.2. Householder's transformation _t11.4.3. QR transformation _t11.5. Iteration methods _t11.5.1. Vector iteration _t11.5.2. Inverse vector iteration _t11.5.3. Vector iteration with shifts _t11.5.4. Subspace iteration _t11.5.5. Lanczos iteration _t11.6. Determinant search method _t11.7. Numerical solution of complex eigenvalue problem _t11.7.1. Eigenvalue problem and the orthogonality relationship _t11.7.2. Matrix iteration for determining the complex eigenvalues _t11.8. Semidefinite or unrestrained systems _t11.8.1. Characteristics of an unrestrained system _t11.8.2. Eigenvalue solution of a semidefinite system _t11.9. Selection of a method for the determination of eigenvalues _t Selected readings _t Problems _t12. Forced dynamic response: Multi-degree-of-freedom systems _t12.1. Introduction _t12.2. Normal coordinate transformation _t12.3. Summary of mode superposition method _t12.4. Complex frequency response _t12.5. Vibration absorbers _t12.6. Effect of support excitation _t12.7. Forced vibration of unrestrained system _t Selected readings _t Problems _t13. Analysis of multi-degree-of-freedom systems: Approximate and numerical methods _t13.1. Introduction _t13.2. Rayleigh-Ritz method _t13.3. Application of Ritz method to forced vibration response _t13.3.1. Mode superposition method _t13.3.2. Mode acceleration method _t13.3.3. Static condensation and Guyan's reduction _t13.3.4. Load-dependent Ritz vectors _t13.3.5. Application of lanczos vectors in the transformation of the equations of motion _t13.4. Direct integration of the equations of motion _t13.4.1. Explicit integration schemes _t13.4.2. Implicit integration schemes _t13.4.3. Mixed methods in direct integration _t13.5. Analysis in the frequency domain _t13.5.1. Frequency analysis of systems with classical mode shapes _t13.5.2. Frequency analysis of systems without classical mode shapes _t Selected readings _t Problems _t PART 4 _t14. Formulation of the equations of motion: Continuous systems _t14.1. Introduction _t14.2. Transverse vibrations of a beam _t14.3. Transverse vibrations of a beam: variational formulation _t14.4. Effect of damping resistance on transverse vibrations of a beam _t14.5. Effect of shear deformation and rotatory inertia on the flexural vibrations of a beam _t14.6. Axial vibrations of a bar _t14.7. Torsional vibrations of a bar _t14.8. Transverse vibrations of a string _t14.9. Transverse vibrations of a shear beam _t14.10. Transverse vibrations of a beam excited by support motion _t14.11. Effect of axial force on transverse vibrations of a beam _t Selected readings _t Problems _t15. Continuous systems: Free vibration response _t15.1. Introduction _t15.2. Eigenvalue problem for the transverse vibrations of a beam _t15.3. General eigenvalue problem for a continuous system _t15.3.1. Definition of the eigenvalue problem _t15.3.2. Self-adjointness of operators in the eigenvalue problem _t15.3.3. Orthogonality of eigenfunctions _t15.3.4. Positive and positive definite operators _t15.4. Expansion theorem _t15.5. Frequencies and mode shapes for lateral vibrations of a beam _t15.5.1. Simply supported beam _t15.5.2. Uniform cantilever beam _t15.5.3. Uniform beam clamped at both ends _t15.5.4. Uniform beam with both ends free _t15.6. Effect of shear deformation and rotatory inertia on the frequencies of flexural vibrations _t15.7. Frequencies and mode shapes for the axial vibrations of a bar _t15.7.1. Axial vibrations of a clamped-free bar _t15.7.2. Axial vibrations of a free-free bar _t15.8. Frequencies and mode shapes for the transverse vibration of a string _t15.8.1. Vibrations of a string tied at both ends _t15.9. Boundary conditions containing the eigenvalue _t15.10. Free-vibration response of a continuous system _t15.11. Undamped free transverse vibrations of a beam _t15.12. Damped free transverse vibrations of a beam _t Selected readings _t Problems _t16. Continuous systems: Forced-vibration response _t16.1. Introduction _t16.2. Normal coordinate transformation: general case of an undamped system _t16.3. Forced lateral vibration of a beam _t16.4. Transverse vibrations of a beam under traveling load _t16.5. Forced axial vibrations of a uniform bar _t16.6. Normal coordinate transformation, damped case _t Selected readings _t Problems _t17. Wave propagation analysis _t17.1. Introduction _t17.2. The Phenomenon of wave propagation _t17.3. Harmonic waves _t17.4. One dimensional wave equation and its solution _t17.5. Propagation of waves in systems of finite extent _t17.6. Reflection and refraction of waves at a discontinuity in the system properties _t17.7. Characteristics of the wave equation _t17.8. Wave dispersion _t Selected readings _t Problems _t PART 5 _t18. Finite element method _t18.1. Introduction _t18.2. Formulation of the finite element equations _t18.3. Selection of shape functions _t18.4. Advantages of the finite element method _t18.5. Element Shapes _t18.5.1. One-dimensional elements _t18.5.2. Two-dimensional elements _t18.6. One-dimensional bar element _t18.7. Flexural vibrations of a beam _t18.7.1. Stiffness matrix of a beam element _t18.7.2. Mass matrix of a beam element _t18.7.3. Nodal applied force vector for a beam element _t18.7.4. Geometric stiffness matrix for a beam element _t18.7.5. Simultaneous axial and lateral vibrations _t18.8. Stress-strain relationships for a continuum _t18.8.1. Plane stress _t18.8.2. Plane strain _t18.9. Triangular element in plane stress and plane strain _t18.10. Natural coordinates _t18.10.1. Natural coordinate formulation for a uniaxial bar element _t18.10.2. Natural coordinate formulation for a constant strain triangle _t18.10.3. Natural coordinate formulation for a linear strain triangle _t Selected readings _t Problems _t19. Component mode synthesis _t19.1. Introduction _t19.2. Fixed interface methods _t19.2.1. Fixed interface normal modes _t19.2.2. Constraint modes _t19.2.3. Transformation of coordinates _t19.2.4. Illustrative example _t19.3. Free interface method _t19.3.1. Free interface normal modes _t19.3.2. Attachment modes _t19.3.3. Inertia relief attachment modes _t19.3.4. Residual flexibility attachment modes _t19.3.5. Transformation of coordinates _t19.3.6. Illustrative example _t19.4. Hybrid method _t19.4.1. Experimental determination of modal parameters _t19.4.2. Experimental determination of the static constraint modes _t19.4.3. Component modes and transformation of component matrices _t19.4.4. Illustrative example _t Selected readings _t Problems _t20. Analysis of nonlinear response _t20.1. Introduction _t20.2. Single-degree-of freedom system _t20.2.1. Central difference method _t20.2.2. Newmark's β Method _t20.3. Errors involved in numerical integration of nonlinear systems _t20.4. Multiple degree-of-freedom system _t20.4.1. Explicit integration _t20.4.2. Implicit integration _t20.4.3. Iterations within a time step _t Selected readings _t Problems _t Answers to selected problems _t Index
650		0	_aStructural dynamics
900			_a34773
900			_bsatın
942			_2lcc _cKT
999			_c31979 _d31979