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2023 | OriginalPaper | Buchkapitel

Analytical Solution for Circular Microbeams with Strain Gradient Elasticity

verfasst von : Zwe Yan Aung, Duy Vo, Toan Minh Le, Jaroon Rungamornrat

Erschienen in: Proceedings of The 17th East Asian-Pacific Conference on Structural Engineering and Construction, 2022

Verlag: Springer Nature Singapore

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Abstract

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.

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Vorheriges Kapitel Mechanical Properties of Lattice Specimens Having a Triangular Pattern with Different Relative Densities

Nächstes Kapitel Free Vibration Analysis of Toroidal Shell Segments with Novel Four-Unknown Refined Theory

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Titel: Analytical Solution for Circular Microbeams with Strain Gradient Elasticity
verfasst von: Zwe Yan Aung
Duy Vo
Toan Minh Le
Jaroon Rungamornrat
Verlag: Springer Nature Singapore
Buch: Proceedings of The 17th East Asian-Pacific Conference on Structural Engineering and Construction, 2022
Print ISBN: 978-981-19-7330-7

Electronic ISBN: 978-981-19-7331-4

Copyright-Jahr: 2023
DOI: https://doi.org/10.1007/978-981-19-7331-4_71

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