Nonlinear free vibration analysis of shell-type structures by the variational differential quadrature method in the context of six-parameter shell theory
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Mechanical Sciences"
DOI: 10.1016/j.ijmecsci.2018.10.053
Abstract: Abstract In the present paper, an attempt is made to adopt the variational differential quadrature (VDQ) technique for the large-amplitude vibration analysis of shell-type structures based on the six-parameter shell theory. The functional of energy… read more here.
Keywords: six parameter; parameter shell; vibration; method ... See more keywords
Using geometric algebra to represent curvature in shell theory with applications to Starling resistors
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DOI: 10.1098/rsos.171212
Abstract: We present a novel application of rotors in geometric algebra to represent the change of curvature tensor that is used in shell theory as part of the constitutive law. We introduce a new decomposition of… read more here.
Keywords: geometric algebra; analysis; shell theory; curvature ... See more keywords
Shell Theory: A Statistical Model of Reality.
Sign Up to like & getrecommendations! Published in 2021 at "IEEE transactions on pattern analysis and machine intelligence"
DOI: 10.1109/tpami.2021.3084598
Abstract: Machine learning's grand ambition is the mathematical modeling of reality. The recent years have seen major advances using deep-learned techniques that model reality implicitly; however, corresponding advances in explicit mathematical models have been noticeably lacking.… read more here.
Keywords: theory statistical; statistical model; machine; shell theory ... See more keywords
On Using the Shell Theory in Stability Analysis of Fluid Flows in Compliant Pipes
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DOI: 10.1134/s0965542521090074
Abstract: The linear stability of the Poiseuille flow in a compliant pipe of circular cross-section is numerically analyzed using two different wall models based on the theory of thin shells. Small vibrations of the pipe wall… read more here.
Keywords: using shell; theory; love equations; theory stability ... See more keywords
On a consistent dynamic finite-strain shell theory and its linearization
Sign Up to like & getrecommendations! Published in 2019 at "Mathematics and Mechanics of Solids"
DOI: 10.1177/1081286517754245
Abstract: In this paper, a dynamic finite-strain shell theory is derived, which is consistent with the three-dimensional (3-D) Hamilton’s principle with a fourth-order error under general loadings. A series expansion of the position vector about the… read more here.
Keywords: finite strain; dynamic finite; shell; shell theory ... See more keywords