Vibrations Of The Euler-Bernoulli Beam Under A Moving Force Based On Various Versions Of Gradient Nonlocal Elasticity Theory: Application In Nanomechanics

被引：0

作者：

Sniady, Pawel ^{[1
]}

Misiurek, Katarzyna ^{[2
]}

Szylko-Bigus, Olga ^{[2
]}

Idzikowski, Rafal ^{[1
]}

机构：

[1] Wroclaw Univ Environm & Life Sci, Fac Environm Engn & Geodesy, Ul Grunwaldzka 55, PL-50357 Wroclaw, Poland

[2] Wroclaw Univ Sci & Technol, Fac Civil Engn, Pl Grunwaldzki 11, PL-50377 Wroclaw, Poland

来源：

STUDIA GEOTECHNICA ET MECHANICA | 2020年 / 42卷 / 04期

关键词：

vibration; beam; moving force; nonlocal elasticity; CARBON NANOTUBES; MODELS;

D O I：

10.2478/sgem-2019-0049

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Two models of vibrations of the Euler-Bernoulli beam under a moving force, based on two different versions of the nonlocal gradient theory of elasticity, namely, the Eringen model, in which the strain is a function of stress gradient, and the nonlocal model, in which the stress is a function of strains gradient, were studied and compared. A dynamic response of a finite, simply supported beam under a moving force was evaluated. The force is moving along the beam with a constant velocity. Particular solutions in the form of an infinite series and some solutions in a closed form as well as the numerical results were presented.

引用

页码：306 / 318

页数：13

共 42 条

[1] ON THE ROLE OF GRADIENTS IN THE LOCALIZATION OF DEFORMATION AND FRACTURE [J].