%0 Journal Article %1 Shinozuka1972 %A Shinozuka, M. %D 1972 %J Journal of Sound and Vibration %K Multivariate Simulation, Spectral Wind analysis, density, forecasting processes, spectral %N 1 %P 111--128 %T Digital Simulation of Random Processes and its Applications %V 25 %X Efficient methods are presented for digital simulation of a general homogeneous process (multidimensional or multivariate or multivariate-multidimensional) as a series of cosine functions with weighted amplitudes, almost evenly spaced frequencies, and random phase angles. The approach is also extended to the simulation of a general non-homogeneous oscillatory process characterized by an evolutionary power spectrum. Generalized forces involved in the modal analysis of linear or non-linear structures can be efficiently simulated as a multivariate process using the cross-spectral density matrix computed from the spectral density function of the multidimensional excitation process. Possible applications include simulation of (i) wind-induced ocean wave elevation, (ii) spatial random variation of material properties, (iii) the fluctuating part of atmospheric wind velocities and (iv) random surface roughness of highways and airport runways.

@article{Shinozuka1972, abstract = {Efficient methods are presented for digital simulation of a general homogeneous process (multidimensional or multivariate or multivariate-multidimensional) as a series of cosine functions with weighted amplitudes, almost evenly spaced frequencies, and random phase angles. The approach is also extended to the simulation of a general non-homogeneous oscillatory process characterized by an evolutionary power spectrum. Generalized forces involved in the modal analysis of linear or non-linear structures can be efficiently simulated as a multivariate process using the cross-spectral density matrix computed from the spectral density function of the multidimensional excitation process. Possible applications include simulation of (i) wind-induced ocean wave elevation, (ii) spatial random variation of material properties, (iii) the fluctuating part of atmospheric wind velocities and (iv) random surface roughness of highways and airport runways.}, added-at = {2011-09-01T13:26:03.000+0200}, author = {Shinozuka, M.}, biburl = {https://www.bibsonomy.org/bibtex/2c20f15faa5463a826ec3471be1a9078e/procomun}, file = {Shinozuka1972.pdf:Shinozuka1972.pdf:PDF}, interhash = {72fb16fa38fb63d33f11a2926498b35d}, intrahash = {c20f15faa5463a826ec3471be1a9078e}, journal = {Journal of Sound and Vibration}, keywords = {Multivariate Simulation, Spectral Wind analysis, density, forecasting processes, spectral}, number = 1, owner = {oscar}, pages = {111--128}, refid = {Shinozuka1972}, timestamp = {2011-09-02T08:25:25.000+0200}, title = {Digital Simulation of Random Processes and its Applications}, volume = 25, year = 1972 }