On the conditions for synchronous harmonic free vibrations

被引:0
作者
Morales, Cesar A. [1 ]
机构
[1] Univ Simon Bolivar, Dept Mecan, Caracas 1080A, Venezuela
关键词
free vibration; synchronous harmonic motion; conditions; SYSTEMS; MOTION; MODES;
D O I
暂无
中图分类号
R318 [生物医学工程];
学科分类号
0831 ;
摘要
All conditions for synchronic harmonic oscillations are presented. These are for discrete and continuous undamped linear systems in free vibration. A vibrations literature review indicates that only one or the basic condition for synchronous harmonic free vibrations is known. This is, initial conditions as an eingenvector (or eigenfunction) for the initial displacements, and no generalized velocities for t = 0. Moreover, although assumed or expected for continuous systems, this result appears solely or mainly for discrete systems in the literature.
引用
收藏
页码:3727 / 3734
页数:8
相关论文
共 50 条
[21]   On forced and free vibrations of cutout squared beams [J].
Almitani, Khalid H. ;
Abdelrahman, Alaa A. ;
Eltaher, Mohamed A. .
STEEL AND COMPOSITE STRUCTURES, 2019, 32 (05) :643-655
[22]   Planar free vibrations of horseshoe elliptic arch [J].
Lee, Byoung Koo ;
Park, Kwang Kyou ;
Oh, Sang Jin ;
Lee, Tae Eun .
KSCE JOURNAL OF CIVIL ENGINEERING, 2016, 20 (04) :1411-1418
[23]   Free Vibrations of an Open Elliptical Cylindrical Shell* [J].
Grigorenko, A. Ya. ;
Borisenko, M. Yu. ;
Boichuk, E. V. .
INTERNATIONAL APPLIED MECHANICS, 2020, 56 (04) :389-401
[24]   FREE AXISYMMETRIC VIBRATIONS OF FGM CIRCULAR PLATES [J].
Wang, Yun ;
Xu, Rong-qiao ;
Ding, Hao-jiang .
PROCEEDINGS OF THE 2008 SYMPOSIUM ON PIEZOELECTRICITY, ACOUSTIC WAVES AND DEVICE APPLICATIONS, 2008, :533-+
[25]   Free vibrations of arches with general boundary condition [J].
Byoung Koo Lee ;
Jae Young Lee ;
Kou Moon Choi ;
Tae Eur Lee .
KSCE Journal of Civil Engineering, 2002, 6 (4) :469-474
[26]   Free Vibrations of a Corrugated Closed Cylindrical Shell [J].
Grigorenko, O. Ya ;
Borisenko, M. Yu ;
Boichuk, O., V .
INTERNATIONAL APPLIED MECHANICS, 2022, 58 (01) :43-52
[27]   Free vibration of soft-core sandwich panels with general boundary conditions by harmonic quadrature element method [J].
Wang, Xinwei ;
Liang, Xiaoyu .
THIN-WALLED STRUCTURES, 2017, 113 :253-261
[28]   Coupled bending and torsional free vibrations of beams with in-span supports and attached masses [J].
Burlon, Andrea ;
Failla, Giuseppe ;
Arena, Felice .
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2017, 66 :387-411
[29]   Algorithm for Automatic Analysis of Free Vibrations of Uniform Bernoulli-Euler Beams with Attachments [J].
Posiadala, Bogdan ;
Cekus, Dawid ;
Warys, Pawel .
WORLD CONGRESS ON ENGINEERING AND COMPUTER SCIENCE, WCECS 2012, VOL II, 2012, :1143-1148
[30]   Harvesting Energy From Time-Limited Harmonic Vibrations: Mechanical Considerations [J].
Brennan, M. J. ;
Gatti, G. .
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 2017, 139 (05)