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of Gaussian vector random functions
27 other sections not shown
analysis applied approach approximation ARMA models ASCE assumed asymptotic attractors behavior bridge calculated cell mapping chaos Chapman-Kolmogorov equation component computation conditional simulation consider corresponding covariance defined denotes derivatives deterministic differential equation discrete domains of attraction Duffing oscillator dynamical systems estimate example excitation Exodus method failure fatigue FFT coefficients fiber Figure finite Fokker-Planck equation Fourier transform frequency fuzzy Gaussian given grid initial conditions integral Journal load Markov chain Master equation matrix mean Monte Carlo method obtained parameters persistent groups perturbations phase space probabilistic probability density function probability distribution problem random numbers random processes random variable random walk reliability response self-cycling shape parameter Shinozuka shot noise Spanos spectral spectrum stationary statistical stochastic linearization technique stochastic process stress structure sub-transient groups Theorem theory trajectories transient cells transient groups transition truck turbulence values vector Vibration wave white noise wind zero