Matches in SemOpenAlex for { <https://semopenalex.org/work/W4213263722> ?p ?o ?g. }
Showing items 1 to 91 of
91
with 100 items per page.
- W4213263722 endingPage "114640" @default.
- W4213263722 startingPage "114640" @default.
- W4213263722 abstract "This paper presents a discrete, geometrically exact elastic rod model based on improved discrete curvature. The model is an extension of finite difference type discretization of Kirchhoff–Love rod from Discrete Differential Geometry, with 4 unknowns, including translational displacements of the axis and the axial cross-sectional rotation. The orthogonality of the rod axis and cross-section is guaranteed by parallel transport in pseudotime. A newly defined unified discrete curvature with five weighting function schemes is presented. Three of them are proposed by reducing the max nonlinear term of the Taylor expansion of the rotation vector. Theory and numerical tests show that these three methods can increase the accuracy of the model compared to the traditional method. Scheme 5 performs the best out of the recommended schemes. A transformation of freedoms to the translational displacements and end rotations is introduced to the Discrete Differential Geometry model. By using this technique, rigid connections between rod segments, rotational boundaries and external ending moments can be realized conveniently and naturally. Important properties such as convergence, objectivity and insensitivity to the slenderness ratio are also verified and investigated with several suitable numerical examples. Furthermore, results show the use of discrete curvature has better performance for the stiff bar system with flexible connections than the continuous beam." @default.
- W4213263722 created "2022-02-24" @default.
- W4213263722 creator A5023257172 @default.
- W4213263722 creator A5058865875 @default.
- W4213263722 creator A5089969472 @default.
- W4213263722 date "2022-03-01" @default.
- W4213263722 modified "2023-10-18" @default.
- W4213263722 title "A geometrically exact discrete elastic rod model based on improved discrete curvature" @default.
- W4213263722 cites W1652796424 @default.
- W4213263722 cites W1965261760 @default.
- W4213263722 cites W1979710921 @default.
- W4213263722 cites W1986856104 @default.
- W4213263722 cites W2001084916 @default.
- W4213263722 cites W2008120483 @default.
- W4213263722 cites W2016385488 @default.
- W4213263722 cites W2032166227 @default.
- W4213263722 cites W2033169156 @default.
- W4213263722 cites W2033360671 @default.
- W4213263722 cites W2034228437 @default.
- W4213263722 cites W2043042987 @default.
- W4213263722 cites W2059115474 @default.
- W4213263722 cites W2079155138 @default.
- W4213263722 cites W2080282883 @default.
- W4213263722 cites W2081094308 @default.
- W4213263722 cites W2101039939 @default.
- W4213263722 cites W2105037847 @default.
- W4213263722 cites W2125883408 @default.
- W4213263722 cites W2132720004 @default.
- W4213263722 cites W2133440874 @default.
- W4213263722 cites W2153204852 @default.
- W4213263722 cites W2155890128 @default.
- W4213263722 cites W2187069729 @default.
- W4213263722 cites W2265948054 @default.
- W4213263722 cites W2302913541 @default.
- W4213263722 cites W2562112825 @default.
- W4213263722 cites W2807959585 @default.
- W4213263722 cites W2899325735 @default.
- W4213263722 cites W2956170450 @default.
- W4213263722 cites W2983310758 @default.
- W4213263722 cites W2991001547 @default.
- W4213263722 cites W3121620833 @default.
- W4213263722 cites W3149994073 @default.
- W4213263722 cites W3202147824 @default.
- W4213263722 cites W4232135324 @default.
- W4213263722 cites W4233063534 @default.
- W4213263722 doi "https://doi.org/10.1016/j.cma.2022.114640" @default.
- W4213263722 hasPublicationYear "2022" @default.
- W4213263722 type Work @default.
- W4213263722 citedByCount "3" @default.
- W4213263722 countsByYear W42132637222022 @default.
- W4213263722 countsByYear W42132637222023 @default.
- W4213263722 crossrefType "journal-article" @default.
- W4213263722 hasAuthorship W4213263722A5023257172 @default.
- W4213263722 hasAuthorship W4213263722A5058865875 @default.
- W4213263722 hasAuthorship W4213263722A5089969472 @default.
- W4213263722 hasConcept C11413529 @default.
- W4213263722 hasConcept C134306372 @default.
- W4213263722 hasConcept C195065555 @default.
- W4213263722 hasConcept C2524010 @default.
- W4213263722 hasConcept C33923547 @default.
- W4213263722 hasConcept C73000952 @default.
- W4213263722 hasConcept C74050887 @default.
- W4213263722 hasConcept C96314035 @default.
- W4213263722 hasConceptScore W4213263722C11413529 @default.
- W4213263722 hasConceptScore W4213263722C134306372 @default.
- W4213263722 hasConceptScore W4213263722C195065555 @default.
- W4213263722 hasConceptScore W4213263722C2524010 @default.
- W4213263722 hasConceptScore W4213263722C33923547 @default.
- W4213263722 hasConceptScore W4213263722C73000952 @default.
- W4213263722 hasConceptScore W4213263722C74050887 @default.
- W4213263722 hasConceptScore W4213263722C96314035 @default.
- W4213263722 hasFunder F4320321001 @default.
- W4213263722 hasLocation W42132637221 @default.
- W4213263722 hasOpenAccess W4213263722 @default.
- W4213263722 hasPrimaryLocation W42132637221 @default.
- W4213263722 hasRelatedWork W1490421795 @default.
- W4213263722 hasRelatedWork W171782734 @default.
- W4213263722 hasRelatedWork W1965091496 @default.
- W4213263722 hasRelatedWork W2040186499 @default.
- W4213263722 hasRelatedWork W2066091055 @default.
- W4213263722 hasRelatedWork W2164453385 @default.
- W4213263722 hasRelatedWork W2622249099 @default.
- W4213263722 hasRelatedWork W3104501761 @default.
- W4213263722 hasRelatedWork W3104758280 @default.
- W4213263722 hasRelatedWork W4377003522 @default.
- W4213263722 hasVolume "392" @default.
- W4213263722 isParatext "false" @default.
- W4213263722 isRetracted "false" @default.
- W4213263722 workType "article" @default.