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Titlebook: Nonlocal Euler–Bernoulli Beam Theories; A Comparative Study Jingkai Chen Book 2021 The Author(s), under exclusive license to Springer Natur

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發(fā)表于 2025-3-21 17:33:34 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Nonlocal Euler–Bernoulli Beam Theories
副標(biāo)題A Comparative Study
編輯Jingkai Chen
視頻videohttp://file.papertrans.cn/668/667798/667798.mp4
概述Gives a fundamental explanation of nonlocal beam theories in nanosystems.Explains the deformation fluctuation of the peridynamic beam equation.Presents a comparative study on the static responses of t
叢書名稱SpringerBriefs in Applied Sciences and Technology
圖書封面Titlebook: Nonlocal Euler–Bernoulli Beam Theories; A Comparative Study Jingkai Chen Book 2021 The Author(s), under exclusive license to Springer Natur
描述This book presents a comparative study on the static responses of the Euler-Bernoulli beam governed by nonlocal theories, including the Eringen’s stress-gradient beam theory, the Mindlin’s strain-gradient beam theory, the higher-order beam theory and the peridynamic beam theory. Benchmark examples are solved analytically and numerically using these nonlocal beam equations, including the simply-supported beam, the clamped-clamped beam and the cantilever beam. Results show that beam deformations governed by different nonlocal theories at different boundary conditions show complex behaviors. Specifically, the Eringen’s stress-gradient beam equation and the peridynamic beam equation yield a much softer beam deformation for simply-supported beam and clamped-clamped beam, while the beam governed by the Mindlin’s strain-gradient beam equation is much stiffer. The cantilever beam exhibits a completely different behavior. The higher-order beam equation can be stiffer or softer depending on thevalues of the two nonlocal parameters. Moreover, the deformation fluctuation of the truncated order peridynamic beam equation is observed and explained from the singularity aspect of the solution expre
出版日期Book 2021
關(guān)鍵詞Euler-Bernoulli beam; Nonlocal theories; Peridynamics; Comparative study; Nonlocal effect; Singular solut
版次1
doihttps://doi.org/10.1007/978-3-030-69788-4
isbn_softcover978-3-030-69787-7
isbn_ebook978-3-030-69788-4Series ISSN 2191-530X Series E-ISSN 2191-5318
issn_series 2191-530X
copyrightThe Author(s), under exclusive license to Springer Nature Switzerland AG 2021
The information of publication is updating

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沙發(fā)
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板凳
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Analytical Solution to Benchmark Examples,ions, the deformations of the Euler-Bernoulli beams governed by the Eringen’s stress-gradient beam equation, the Mindlin’s strain-gradient beam equation, the higher-order beam equation and the truncated-order peridynamic beam equation are solved analytically. Benchmark examples including the simply-
地板
發(fā)表于 2025-3-22 05:53:52 | 只看該作者
Book 2021letely different behavior. The higher-order beam equation can be stiffer or softer depending on thevalues of the two nonlocal parameters. Moreover, the deformation fluctuation of the truncated order peridynamic beam equation is observed and explained from the singularity aspect of the solution expre
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發(fā)表于 2025-3-22 09:10:59 | 只看該作者
016)) as a model to demonstrate how greater representation of psychopathic traits could lead to a better comprehension of CD. The wider conceptualization of child psychopathic traits entails benefits including both a better understanding of the etiology and treatment of youth with various forms of CD.
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2191-530X ng on thevalues of the two nonlocal parameters. Moreover, the deformation fluctuation of the truncated order peridynamic beam equation is observed and explained from the singularity aspect of the solution expre978-3-030-69787-7978-3-030-69788-4Series ISSN 2191-530X Series E-ISSN 2191-5318
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發(fā)表于 2025-3-22 19:13:09 | 只看該作者
2191-530X on.Presents a comparative study on the static responses of tThis book presents a comparative study on the static responses of the Euler-Bernoulli beam governed by nonlocal theories, including the Eringen’s stress-gradient beam theory, the Mindlin’s strain-gradient beam theory, the higher-order beam
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Introduction,s after the deformation. The nonlocal Euler-Bernoulli beam follows these two assumptions while the loading-deformation relation is defined nonlocally. This chapter provides a brief introduction on the beam theories derived from the nonlocal theories, including the classical Eringen’s nonlocal theory and the recent-developed peridynamics.
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發(fā)表于 2025-3-23 07:10:32 | 只看該作者
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