自然科学版 英文版
自然科学版 英文版
自然科学版 英文版

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中南大学学报(英文版)

Journal of Central South University

Vol. 24    No. 3    March 2017

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Natural frequencies analysis of a composite beam consisting of Euler-Bernoulli and Timoshenko beam segments alternately
PENG Li-ping(彭利平)1, 2, JI Ai-min(纪爱敏)1, ZHAO Yue-min(赵跃民)2, LIU Chu-sheng(刘初升)3

1. College of Mechanical and Electrical Engineering, Hohai University, Changzhou 213022, China;
2. School of Chemical Engineering and Technology, China University of Mining and Technology,
Xuzhou 221116, China;
3. School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou 221116, China

Abstract:Present investigation is concerned with the free vibration property of a beam with periodically variable cross-sections. For the special geometry characteristic, the beam was modelled as the combination of long equal-length uniform Euler-Bernoulli beam segments and short equal-length uniform Timoshenko beam segments alternately. By using continuity conditions, the hybrid beam unit (ETE-B) consisting of Euler-Bernoulli beam, Timoshenko beam and Euler-Bernoulli beam in sequence was developed. Classical boundary conditions of pinned-pinned, clamped-clamped and clamped-free were considered to obtain the natural frequencies. Numerical examples of the equal-length composite beam with 1, 2 and 3 ETE-B units were presented and compared with the equal-length and equal-cross-section Euler-Bernoulli beam, respectively. The work demonstrates that natural frequencies of the composite beam are larger than those of the Euler-Bernoulli beam, which in practice, is the interpretation that the inner-welded plate can strengthen a hollow beam. In this work, comparisons with the finite element calculation were presented to validate the ETE-B model.

 

Key words: natural frequency; Euler-bernoulli beam; Timoshenko beam; hybrid beam unit; composite beam

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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