Response probability density function for multi-cracked beams with uncertain amplitude and position of cracks

DOI10.1016/j.apm.2021.06.005zbMath1481.74662OpenAlexW3174027721MaRDI QIDQ821750

Giovanni Falsone, Rossella Laudani

Publication date: 21 September 2021

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2021.06.005

zbMATH Keywords

probability transformation methoduncertain crack amplitudeuncertain crack position

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Brittle fracture (74R10)

Related Items (3)

Effects of local thickness defects on the buckling of micro-beam ⋮ Theory and methods for random differential equations: a survey ⋮ On the random fractional Bateman equations

Cites Work

• Cumulant neglect closure for nonlinear oscillators under random parametric and external excitations
• Exact solution of the multi-cracked Euler-Bernoulli column
• Improved finite element method for stochastic problems
• Robust and efficient methods for stochastic finite element analysis using Monte Carlo simulation
• Interval static analysis of multi-cracked beams with uncertain size and position of cracks
• A finite element of a cracked prismatic beam for structural analysis
• Harmonic analysis of the vibrations of a cantilevered beam with a closing crack
• The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
• Stochastic Dynamics of Structures
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