A SIZE-DEPENDENT MODEL FOR WAVE PROPAGATION IN TIMOSHENKO NANOBEAM

被引：0
|
作者：
Liang, Bin-bin [1 ]
Zhang, Long [1 ]
Wang, Bing-lei [1 ,2 ]
机构：
[1] Shandong Univ, Dept Engn Mech, Jinan 250061, Peoples R China
[2] Xi An Jiao Tong Univ, State Key Lab Strength & Vibrat Mech Struct, Sch Aerosp, Xian 710049, Peoples R China
来源：
2014 SYMPOSIUM ON PIEZOELECTRICITY, ACOUSTIC WAVES, AND DEVICE APPLICATIONS (SPAWDA) | 2014年
关键词：
Wave propagation; Size-dependent; Timoshenko nanobeam; Strain gradient elasticity theory;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
By incorporating the strain gradient elasticity into the Timoshenko nanobeam, a size-dependent model for wave propagation in such nanobeam is developed. The formulations of dispersion relation are explicitly derived for strain gradient nanobeam and presented for different material length scale parameters (MLSPs). The size-dependent characteristics of wave propagation in Timoshenko nanobeam are then studied. The results show that the angular frequency, phase velocity and group velocity increase with increasing wave number. However, the velocity ratios approach different values for different beam modes, indicating an interesting behavior of the asymptotic velocity ratio.
引用
收藏
页码：210 / 213
页数：4
相关论文
共 50 条
  • [21] Stability of the Size-Dependent and Functionally Graded Curvilinear Timoshenko Beams
    Awrejcewicz, J.
    Krysko, A. V.
    Pavlov, S. P.
    Zhigalov, M. V.
    Krysko, V. A.
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2017, 12 (04):
  • [22] Size-Dependent Buckling and Vibrations of Piezoelectric Nanobeam with Finite Element Method
    Mohtashami, Mahdie
    Beni, Yaghoub Tadi
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY-TRANSACTIONS OF CIVIL ENGINEERING, 2019, 43 (03) : 563 - 576
  • [23] Studying the influence of surface effects on vibration behavior of size-dependent cracked FG Timoshenko nanobeam considering nonlocal elasticity and elastic foundation
    Majid Ghadiri
    Mahdi Soltanpour
    Ali Yazdi
    Mohsen Safi
    Applied Physics A, 2016, 122
  • [24] Size-Dependent Buckling and Vibrations of Piezoelectric Nanobeam with Finite Element Method
    Mahdie Mohtashami
    Yaghoub Tadi Beni
    Iranian Journal of Science and Technology, Transactions of Civil Engineering, 2019, 43 : 563 - 576
  • [25] Surface effect on size-dependent wave propagation in nanoplates via nonlocal elasticity
    Zhang, L. L.
    Liu, J. X.
    Fang, X. Q.
    Nie, G. Q.
    PHILOSOPHICAL MAGAZINE, 2014, 94 (18) : 2009 - 2020
  • [26] Size-dependent and piezoelectric effects on SH wave propagation in functionally graded plates
    Liu, Cancan
    Yu, Jiangong
    Zhang, Bo
    Zhang, Xiaoming
    Wang, Xianhui
    Elmaimouni, L.
    MECHANICS RESEARCH COMMUNICATIONS, 2022, 124
  • [27] Wave propagation analysis of a size-dependent magneto-electroelastic heterogeneous nanoplate
    Ebrahimi, Farzad
    Dabbagh, Ali
    Barati, Mohammad Reza
    EUROPEAN PHYSICAL JOURNAL PLUS, 2016, 131 (12):
  • [28] Studying the influence of surface effects on vibration behavior of size-dependent cracked FG Timoshenko nanobeam considering nonlocal elasticity and elastic foundation
    Ghadiri, Majid
    Soltanpour, Mahdi
    Yazdi, Ali
    Safi, Mohsen
    APPLIED PHYSICS A-MATERIALS SCIENCE & PROCESSING, 2016, 122 (05):
  • [29] Wave Propagation in a Timoshenko Beam Building Model
    Ebrahimian, Mahdi
    Todorovska, Maria I.
    JOURNAL OF ENGINEERING MECHANICS, 2014, 140 (05)
  • [30] A modified size-dependent core-shell model and its application in the wave propagation of square cellular networks
    Xu, Xiao-Jian
    Wang, Ya-Chuan
    Wang, Bo
    Zhang, Kai
    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2016, 80 : 53 - 61
12345