Modal analysis on Timoshenko multispan beam with intermediate elastic bearing

YE Mao, HUANG Shi-fan, ZHANG Peng, CAO Bao-xing

PDF(1424 KB)
PDF(1424 KB)
Journal of Guangzhou University(Natural Science Edition) ›› 2016, Vol. 15 ›› Issue (2) : 65-69.

Modal analysis on Timoshenko multispan beam with intermediate elastic bearing

  • YE Mao, HUANG Shi-fan, ZHANG Peng, CAO Bao-xing
Author information +
History +

Abstract

This paper aims to study the modal analysis on Timoshenko multispan uniform beams with intermediate elastic bearing. For the equivalent system of continued beams which support reaction force as a substitution for elastic bearing, Laplace transformation is used to obtain the frequency characteristic equations under the boundary conditions of continued beams and the deformation compatibility conditions at the elastic bearing. Frequency from the frequency characteristic equations and corresponding mode of continued beams are obtained. Based on numerical example, the result of this paper and its theoretical value are verified for validity. The frequency and mode of continued beams under different boundary conditions are tackled in the end.

Key words

Timoshenko beams / multispan beam / Laplace transformation / elastic bearing / modal analysis

Cite this article

Download Citations
YE Mao, HUANG Shi-fan, ZHANG Peng, CAO Bao-xing. Modal analysis on Timoshenko multispan beam with intermediate elastic bearing. Journal of Guangzhou University(Natural Science Edition). 2016, 15(2): 65-69

References

[1] 李道奎,唐国金,雷勇军.弹性支撑条件下分段轴压阶梯梁自由振动及稳定性分析[J].强度与环境,2009,36(3):14-22. LI D K, TANG G J,LEI Y J. Free vibration and stability of multiple-step beams on elastic end supports and stepped axial pressure[J].Struct Environ Eng,2009,36(3):14-22.
[2] SEON M H, HAYM B, TIMOTHY W. Dynamics of transversely vibrating beams using four engineering theories[J]. J Sound Vibr,1999, 225(5): 935-988.
[3] TANG Y Q, CHEN L Q, YANG X D. Natural frequencies, modes and critical speeds of axially moving Timoshenko beams with different boundary conditions[J].Intern J Mech Sci, 2008, 50:1448-1458.
[4] LIN H Y, TSAI Y C. Free vibration analysis of a uniform multi-span beam carrying multiple spring-mass systems[J]. J Sound Vibr, 2007, 302: 442-456.
[5] LIU H P, CHANG S C. Free vibration analysis of multi-span beams with intermediate flexible constraints[J]. J Sound Vibr, 2005,281: 155-169.
[6] 姚佐球. 各种支承连续梁的振动频率方程[J]. 华南理工大学学报:自然科学版, 1991, 19(4):63-69.
YAO Z Q. The frequency equations of the vibration of the continuous beams with a variety of supports[J]. J South China Univ Tech: Nat Sci Edi,1991,19(4):63-69.
[7] 彭如海,刘杰,彭劼. 弹性支承梁的模态分析及应用[J]. 华东船舶工业学院学报:自然科学版, 2002,16(1):17-22.
PENG R H, LIU J, PENG J. Modal analysis and application of elastic bearing beam[J]. J East China Shipbuild Inst: Nat Sci Edi, 2002,16(1): 17-22.
[8] 晏麓晖,曾首义,陈斌. 弹性支承梁动力响应分析[J]. 工程力学(增刊), 2003: 381-384.
YAN L H, ZENG S Y, CHEN B. The dynamic analysis of elastic supported beam[J].Eng Mech (S), 2003: 381-384.
[9] 周根华.连续梁横向振动模态分析[J].上海电力学院学报,1996,12(1):48-53.
ZHOU G H.Modal analysis of cross vibration of continuous beam[J].J Shanghai Inst Elect Power,1996, 12(1):48-53.
[10] 吴晓.受轴向集中荷载的层和连续梁的固有振动[J].四川工业学院学报,1994,13(3):71-75.
WU X.Natural vibration of laminated continuous beams under axisymmetrically lumped-load[J].J Sichuan Univ Sci Tech,1994, 13(3):71-75.
[11] 吴晓.具有中间支承的薄膜固有振动分析[J].振动与冲击, 2005,24(4):127-128.
WU X. Natural vibration analysis of films with middle supports[J]. J Vibr Shock, 2005,24(4):127-128.
[12] 吴晓.多跨连续长索的横振固有频率[J].振动与冲击, 2006,25(1):140-141.
WU X. Natural transversal vibration frequency of continuous long cable with multi-spans[J]. J Vibr Shock, 2006,25(1): 140-141.
PDF(1424 KB)

452

Accesses

0

Citation

Detail

Sections
Recommended

/