A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Spectral Stochastic Isogeometric Analysis of Microbeams with Material Uncertainty
In this study, the nondeterministic linear static response of planar microbeams accounting for the influence of material microstructures and material uncertainty is investigated by the method of spectral stochastic isogeometric analysis (SSIGA). The beam formulation is developed based upon Timoshenko hypothesis and modified couple stress theory. The uncertainty of Young’s modulus is modelled as a homogeneous Gaussian random field over a one-dimensional space occupied by the beam axis. Within the framework of SSIGA, the random field, represented by Karhunen-Loève expansion, is discretized by the univariate non-uniform B-spline basis functions. The arbitrary polynomial chaos expansion is subsequently adopted to predict the statistical characteristics (e.g., mean and standard deviation) of the stochastic deflection. Finally, a numerical study on a representative cantilever microbeam is presented to demonstrate the significance of integrating the material uncertainty in the analysis of micro-scaled beams.
Spectral Stochastic Isogeometric Analysis of Microbeams with Material Uncertainty
In this study, the nondeterministic linear static response of planar microbeams accounting for the influence of material microstructures and material uncertainty is investigated by the method of spectral stochastic isogeometric analysis (SSIGA). The beam formulation is developed based upon Timoshenko hypothesis and modified couple stress theory. The uncertainty of Young’s modulus is modelled as a homogeneous Gaussian random field over a one-dimensional space occupied by the beam axis. Within the framework of SSIGA, the random field, represented by Karhunen-Loève expansion, is discretized by the univariate non-uniform B-spline basis functions. The arbitrary polynomial chaos expansion is subsequently adopted to predict the statistical characteristics (e.g., mean and standard deviation) of the stochastic deflection. Finally, a numerical study on a representative cantilever microbeam is presented to demonstrate the significance of integrating the material uncertainty in the analysis of micro-scaled beams.
Spectral Stochastic Isogeometric Analysis of Microbeams with Material Uncertainty
Lecture Notes in Civil Engineering
Ha-Minh, Cuong (editor) / Tang, Anh Minh (editor) / Bui, Tinh Quoc (editor) / Vu, Xuan Hong (editor) / Huynh, Dat Vu Khoa (editor) / Le, Toan Minh (author) / Vo, Duy (author) / Bui, Tinh Quoc (author) / Van Huynh, Thu (author) / Limkatanyu, Suchart (author)
CIGOS 2021, Emerging Technologies and Applications for Green Infrastructure ; Chapter: 49 ; 491-498
2021-10-28
8 pages
Article/Chapter (Book)
Electronic Resource
English
Modified couple stress theory , Microstructure effects , Material uncertainty , Spectral Stochastic Isogeometric analysis , Timoshenko beam Engineering , Geoengineering, Foundations, Hydraulics , Sustainable Architecture/Green Buildings , Sustainable Development , Structural Materials , Cyber-physical systems, IoT , Professional Computing
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