On fractional bending of beams

被引：34

作者：

Lazopoulos, K. A. ^{[1
]}

Lazopoulos, A. K. ^{[2
]}

机构：

[1] 14 Theatrou Str, Rafina 19009, Greece

[2] Hellen Army Acad, Dept Math Sci, Vari 16673, Greece

来源：

ARCHIVE OF APPLIED MECHANICS | 2016年 / 86卷 / 06期

关键词：

Fractional tangent space; Fractional differential geometry; Curvature vector; Fractional bending; Euler-Bernoulli bending principle; A cantilever beam; CALCULUS;

D O I：

10.1007/s00419-015-1083-7

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Clarifying the geometry of the fractional tangent space of a curve, fractional differential geometry of curves has already been revisited, Lazopoulos and Lazopoulos (2015), defining also the curvature vector. Fractional bending of a beam is introduced, applying Euler-Bernoulli bending principle. The proposed theory is implemented to the bending deformation of a cantilever beam under continuously distributed loading.

引用

页码：1133 / 1145

页数：13

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[2]

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[3]

[Anonymous], 1999, FRACTIONAL DIFFERENT

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