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Analytical Solution for Circular Microbeams with Strain Gradient Elasticity
In the analysis of skeletal structures, circular beams are widely studied since their simple geometry allows the derivation of analytical solutions which are useful tools to assess the accuracy and efficiency of numerical ones. With such feature, the present study aims mainly to establish the key governing equations, boundary conditions, and corresponding analytical solutions of circular microbeams within the framework of strain gradient elasticity and Timoshenko-Ehrenfest beam theories. It is worth highlighting that the curviness is also included in the formulation, and its influence on the predicted responses is explored. A solution procedure is implemented to establish the analytical solutions for general loading and boundary conditions. A representative semi-circular beam is subsequently analyzed with the adopted procedure, and a selected set of results is reported to illustrate the effects of the curviness.
Analytical Solution for Circular Microbeams with Strain Gradient Elasticity
In the analysis of skeletal structures, circular beams are widely studied since their simple geometry allows the derivation of analytical solutions which are useful tools to assess the accuracy and efficiency of numerical ones. With such feature, the present study aims mainly to establish the key governing equations, boundary conditions, and corresponding analytical solutions of circular microbeams within the framework of strain gradient elasticity and Timoshenko-Ehrenfest beam theories. It is worth highlighting that the curviness is also included in the formulation, and its influence on the predicted responses is explored. A solution procedure is implemented to establish the analytical solutions for general loading and boundary conditions. A representative semi-circular beam is subsequently analyzed with the adopted procedure, and a selected set of results is reported to illustrate the effects of the curviness.
Analytical Solution for Circular Microbeams with Strain Gradient Elasticity
Lecture Notes in Civil Engineering
Geng, Guoqing (Herausgeber:in) / Qian, Xudong (Herausgeber:in) / Poh, Leong Hien (Herausgeber:in) / Pang, Sze Dai (Herausgeber:in) / Aung, Zwe Yan (Autor:in) / Vo, Duy (Autor:in) / Le, Toan Minh (Autor:in) / Rungamornrat, Jaroon (Autor:in)
14.03.2023
13 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
Circular microbeams , Strain gradient elasticity , Timoshenko-Ehrenfest beam theory , Analytical solutions , Influence of curviness Engineering , Building Construction and Design , Structural Materials , Solid Mechanics , Sustainable Architecture/Green Buildings , Light Construction, Steel Construction, Timber Construction , Offshore Engineering
British Library Online Contents | 2015
|British Library Online Contents | 2015
|British Library Online Contents | 2015
|British Library Online Contents | 2015
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