Exact solutions for stochastic Bernoulli–Euler beams under deterministic loading

Autor:	Oded Rabinovitch, Isaac Elishakoff, Nachman Malkiel
Rok vydání:	2021
Předmět:	Physics Flexibility (anatomy) Mechanical Engineering Linear elasticity Mathematical analysis Fourier sine and cosine series Computational Mechanics 02 engineering and technology Bending 01 natural sciences 010305 fluids & plasmas Bernoulli's principle symbols.namesake 020303 mechanical engineering & transports medicine.anatomical_structure 0203 mechanical engineering 0103 physical sciences Solid mechanics Euler's formula symbols medicine Beam (structure)
Zdroj:	Acta Mechanica. 232:2201-2224
ISSN:	1619-6937 0001-5970
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6c90d6ac8fd034a9a75d3c2bfa0a956d https://doi.org/10.1007/s00707-020-02895-1 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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