Abstract
A physically realizable stationary, Gaussian, random load is simulated digitally and employed as the forcing function in the equation of motion of a damped, elastic beam whose resistance to deformation is due to bending and stretching. The power-residue method for generating pseudo-random numbers is employed in the technique presented for constructing the random function, whose statistical properties correspond closely to those of pressure signals measured in the noise field of a turbulent, subsonic air jet. The non-linear equation of motion is solved in finite-difference form with a forcing function representing a time-random concentrated load applied transversely at midspan. From numerical solutions, statistical measures of response at midspan and at the quarter points of the beam are computed. Response autocorrelation functions, power spectra, and probability density functions are obtained for a range of load mean-square values. Although the technique employed in the present study is applied to the problem of a beam, it can in principle be applied to more complicated structural components and random load configurations.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
