Abstract: A formulation of the method of stochastic linearization so that it is applicable for symmetric or asymmetric nonlinear systems is presented. Formulas for the generation of the equivalent linear ...

Abstract: An algorithm is described for computing the values of the confluent hypergeometric function at several points spaced densely along an interval of real numbers. Numerical data obtained by using ...

Abstract: Three different algorithms are presented for simulating a time series which is compatible with a given power spectrum of ocean waves. The first algorithm generates the current value of the ...

Abstract: Integrals required for the determination of the response statistics of an arbitrary order linear and time-invariant dynamic system under stationary excitation are examined. These integrals are ...

Abstract: The stationary output of a stable linear dynamic system to white noise input is considered. It is shown that the spectral moments of the output can be determined as the solution of a set ...

Abstract: A discrete multi-degree-of-freedom model is used to study the dynamic response of marine riser systems to loads generated by sea waves and currents. A linearization scheme is used to determine ...

Abstract: Most of the currently used algorithms for numerical generation of sea wave records which are compatible with a specified power spectrum are based on the super-position of several harmonic waves. ...

Abstract: The solution of a backward-Kolmogorov equation is presented. This equation is associated with a Markov approximation of the response amplitude of a lightly damped linear oscillator driven by an ...

Abstract: The generalized method of equivalent linearization is modified to be applicable for multi-degree-of-freedom dynamic systems with nonsymmetric nonlinearities subjected to harmonic monofrequency excitation. ...

Abstract: Analytical solutions are presented regarding probability density distributions of various response parameters of a lightly damped oscillator. The oscillator is subjected to a broad-band stochastic ...