Structural Dynamics Fundamentals and Advanced Applications, Volume I

Beating Hysteresis Newton Eigenvalues Coordinates Vibration Damping Mass Velocity Impulse Eigenvectors work Structural Damping Step function Constraints Transfer function Shock Response Spectra Runge-Kutta methods Numerical methods QR factorization Least squares fit Principia LU factorization Superposition Gaussian Elimination Momentum Kinetic energy Multi-degree of freedom systems Complex Modes Singular value decomposition Lanczos method Convolution Pogo Degrees of freedom Solution Euler's method Fourier transform Autocorrelation Function Linear equations Inertia Complex Mode Shapes Acceleration Integration by parts Laws of motion Phase angle Laplace-Transform Aerodynamic Instability Base Excitation Base excitation—translation plus rotation Caughey damping—modified classically damped systems boxcar Complex mode shapes Classical normal modes Contour Integral Complex Stiffness Complex vectors—rotation Dirac delta Boxcar function Duhamel’s method Constant Fourier transform Centripetal force Coulomb Damping Cholesky Factorization eigenvalue problem–symmetric Coincident response Fluid Resistance Forced vibration Givens transformation method Frequency sweep force Cosine Fourier transform Gram-Schmidt method Gyroscopic moments Impulsive force differential equations of motion Imbalance—dynamic International Systems of Units Householder transformation method Equivalent viscous damping eigenvalue problem–non-symmetric initial conditions Linear frequency sweep Mass matrix—rigid body Mean square value Frequency Response Function Lissajous graphs Mode acceleration Modes of vibration Multi-degree-of-freedom—forced vibration modal superposition Orthogonality—mode shapes orthogonal projectors Natural Frequencies Participation factor—mode Half-power points one-step methods Imbalance—static impulse excitation Random response—time domain Rayleigh’s Quotient Quadrature response Inertial Mass Random response—base excitation Peak response Residual flexibility Gyroscopic moments—energy dissipation Inertial Reference Frames Rigid body modes Harmonic Excitation Pseudo acceleration Power Spectral Density function Rayleigh energy Rayleigh-Ritz Rayleigh’s quotient—convexity Single-degree-of-freedom systems Least Square Relative coordinate Sweep rate effects Strain Energy Taylor series expansion Step excitation Transient excitation Shake Table Unit impulse and convolution US Customary units Unit Impulse Octave frequency sweep whirl Left eigenvectors Logarithmic Decrement Newmark’s method non-classically damped systems Modal forces Normalization—mode shapes Sine Fourier transform Proportional Damping Response Spectra Pseudo velocity Sifting property Ramp function Random response—frequency domain Rayleigh’s quotient—stationarity Right eigenvectors Rotational degrees of freedom Swept frequency excitation Viscous Damping