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. 14    No. 5    October 2007

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Mapping analysis of vibrating fundamental frequency for
simple-supported elastic rectangle-plates with concentrated mass
QI Hong-yuan(齐红元), WANG Shuang-xin(王爽心), ZHU Heng-jun(朱衡君)

School of Mechanical and Electric Control Engineering, Beijing Jiaotong University, Beijing 100044, China

Abstract:By conformal mapping theory, a trigonometric interpolation method between odd and even sequences in rectangle boundary region was provided, and the conformal mapping function of rectangle-plate with arc radius between complicated region and unite dish region was carried out. Aiming at calculating the vibrating fundamental frequency of special-shaped, elastic simple-supported rectangle-plates, in the in-plane state of constant stress, the vibration function of this complicated plate was depicted by unit dish region. The coefficient of fundamental frequency was calculated. Whilst, taking simple-supported elastic rectangle-plates with arc radius as an example, the effects on fundamental frequency caused by the concentrated mass and position, the ratio of the length to width of rectangle, as well as the coefficient of constant in-plane stress were analyzed respectively.

 

Key words: conformal mapping; elastic simple-supported plates; vibration; fundamental frequency; mode; method of trigonometric interpolation

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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