Abstract
This study deals with two general solutions for a simply supported linear elastic Bernoulli–Euler beam with a stochastic bending flexibility, subjected to a deterministic loading. Two model problems are considered. The first problem is associated with a trapezoidally distributed load, whereas the second problem treats a sinusoidally distributed load. The importance of the solution for the trapezoidal load lies in its practicality. The derivation of stochastic characteristics for random beams under a sinusoidal load is useful due to the expandability to generally distributed loads by a Fourier sine series expansion. Numerical results are reported for various cases illustrating the effect of stochasticity of the beam’s properties on its flexural response.
Original language | English |
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Pages (from-to) | 2201-2224 |
Number of pages | 24 |
Journal | Acta Mechanica |
Volume | 232 |
Issue number | 6 |
DOIs | |
State | Published - Jun 2021 |
All Science Journal Classification (ASJC) codes
- Computational Mechanics
- Mechanical Engineering