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Analysis of wave propagation in micro/nanobeam-like structures： A size-dependent model
  • ISSN号：0567-7718
  • 期刊名称：《力学学报：英文版》
  • 时间：0
  • 分类：TU323.3[建筑科学—结构工程] TB535[理学—物理;理学—声学;一般工业技术]
  • 作者机构：[1]Department of Engineering Mechanics, Shandong University,250061 Jinan, China, [2]School of Mechanical Engineering, Shandong University,250061 Jinan, China, [3]Department of Earth and Environmental Engineering,Columbia University, New York, NY 10027, USA, [4]International Center for Applied Mechanics,SV Lab, School of Aerospace, Xi' an Jiaotong University,710049 Xi'an, China
  • 相关基金：The project was supported by the National Natural Science Foun- dation of China （11202117, 11272186, 11172231 and 50928601）, the Postdoctoral Science Foundation of China （2012M521326）, the Natural Science Fund of Shandong Province （ZR2012AM014 and BS2012ZZ006）, and Independent Innovation Fund of Shandong University （2011GN055）, National Science Foundation （CMMI- 0643726）, DARPA （W91CRB-1 l-C-0112） and Changjiang Scholar Program from Ministry of Education of China.
作者： Bing-Lei Wang, Jun-Feng Zhao, Shen-Jie Zhou, Xi Chen
关键词： Timoshenko梁, Bernoulli-Euler梁, 波传播, 模型, 结构, 纳米, 应变梯度, 耳鼻喉科, Strain gradient elasticity theory ~ Bernoulli-Euler beam theory. Timoshenko beam theory , Wave propa-gation
中文摘要：

由把紧张坡度弹性合并到古典 Bernoulli-Euler 横梁和 Timoshenko 横梁模型，在 micro/nanobeams 的波浪繁殖的尺寸依赖者特征被学习。分散关系的明确的表达明确地为两个紧张坡度横梁模型被导出，并且为不同材料长度规模参数(MLSP ) 介绍了。为两个现象学的 sizedependent 横梁模型，有增加的尖频率，阶段速度和组速度增加挥动数字。然而，速度比率为不同横梁模型接近不同价值，显示 asymptotic 速度比率的有趣的行为。现在的理论也与非局部的连续统横梁模型相比。

英文摘要：

By incorporating the strain gradient elasticity into the classical Bernoulli-Euler beam and Timoshenko beam models, the size-dependent characteristics of wave propaga- tion in micro/nanobeams is studied. The formulations of dis- persion relation are explicitly derived for both strain gradi- ent beam models, and presented for different material length scale parameters （MLSPs）. For both phenomenological size- dependent beam models, the angular frequency, phase veloc- ity and group velocity increase with increasing wave num- ber. However, the velocity ratios approach different values for different beam models, indicating an interesting behavior of the asymptotic velocity ratio. The present theory is also compared with the nonlocal continuum beam models.

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期刊信息
  • 《力学学报：英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学技术协会
  • 主办单位:中国力学学会 中国科学院力学研究所
  • 主编：卢天健
  • 地址：北京市海淀区北四环西路15号
  • 邮编：100190
  • 邮箱：actams@cstam.org.cn
  • 电话：010-62536271
  • 国际标准刊号：ISSN：0567-7718
  • 国内统一刊号：ISSN：11-2063/O3
  • 邮发代号:2-703
  • 获奖情况:
  • 国内外数据库收录:
  • 被引量:352