Design of Beams Subjected to Random Loads
- 1 January 1982
- journal article
- research article
- Published by Taylor & Francis in Journal of Structural Mechanics
- Vol. 10 (1) , 49-65
- https://doi.org/10.1080/03601218208907401
Abstract
Nonuniform Timoshenko beams subjected to a given stationary random excitation are considered. The general equations relating the spectral density function of the response to the cross spectral density of the load are derived. The optimal shape of the beam is defined as the shape which, for given constant volume of the beam, minimizes the maximum root-mean-square value of the bending stresses in the beam. The shape of the beam is described by a limited number of orthogonal design functions, and their optimal combination is found by sequential linear programming with move limits. From numerical results it is seen that slight modifications of the beam shape give a considerable reduction of maximum r.m.s. stress for most loading cases.Keywords
This publication has 8 references indexed in Scilit:
- Random vibrations of a non-linear beam carrying a concentrated massJournal of Sound and Vibration, 1977
- Non-stationary response of a beam to a moving random forceJournal of Sound and Vibration, 1976
- Mean-Square Response of Beams to Nonstationary Random ExcitationAIAA Journal, 1975
- On fatigue life under stationary Gaussian random loadsEngineering Fracture Mechanics, 1973
- On the stresses in a nonlinear beam subject to random excitationInternational Journal of Solids and Structures, 1965
- Random Vibration of BeamsJournal of Applied Mechanics, 1962
- Response of a Simply Supported Timoshenko Beam to a Purely Random Gaussian ProcessJournal of Applied Mechanics, 1958
- Response of Beams and Plates to Random LoadsJournal of Applied Mechanics, 1957