Journal ArticleDOI
Design of Beams Subjected to Random Loads
Jan Cederkvist
- Vol. 10, Iss: 1, pp 49-65
TLDR
In this paper, the optimal shape of the beam is defined as the shape which minimizes the maximum root-mean-square value of the bending stresses in the beam, and their optimal combination is found by sequential linear programming with move limits.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.read more
Citations
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Journal ArticleDOI
Response of an axially loaded Timoshenko beam to random loads
J.R. Banerjee,David Kennedy +1 more
TL;DR: In this paper, the authors present theoretical expressions for the displacement response of an axially loaded Timoshenko beam subjected to concentrated or distributed random loads having stationary and ergodic properties, illustrated by its application to investigate the effects of axial force on the random response of a simply supported beam acted upon by an ideal white noise.
Journal ArticleDOI
Minimum mass design of elastic frames subjected to multiple load cases
Pauli Pedersen,Leif Jørgensen +1 more
TL;DR: In this article, the authors present a unified optimization approach which combines finite element and linear programming for a portal frame with stress-and displacement-constraint constraints for multiple load cases.
Dissertation
Dynamic response of thin-walled composite structures with application to aircraft wings
TL;DR: In this article, a general analytical method is developed to study first the buckling behavior and then the dynamic characteristics of thin-walled composite structures with the presence of bending torsion coupling.
References
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Journal ArticleDOI
Non-stationary response of a beam to a moving random force
TL;DR: In this paper, the authors investigated the non-stationary random vibration of a beam and concluded that the resulting beam vibration turns out to be a nonstationary process even though the motion considered is that of a stationary random force.
Journal ArticleDOI
Random Vibration of Beams
Stephen H. Crandall,Asim Yildiz +1 more
TL;DR: In this article, the mean square deflections, slopes, bending moments and shear forces were compared for four different dynamical models with three different damping mechanisms, subjected to a distributed transverse loading process which was uncorrelated space-wise and which was either ideally, white time-wise or band-limited with an upper cut-off frequency.