Applied Mathematics and Mechanics (English Edition) ›› 1982, Vol. 3 ›› Issue (1): 11-24.

• 论文 • 上一篇    下一篇

EXACT SOLUTION FOR CIRCULAR SANDWICH PLATE WITH LARGE DEFLECTION

刘人怀, 施云方   

  1. Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui
  • 收稿日期:1981-06-16 出版日期:1982-01-18 发布日期:1982-01-18

EXACT SOLUTION FOR CIRCULAR SANDWICH PLATE WITH LARGE DEFLECTION

Liu Ren-huai, Shi Yun-fang   

  1. Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui
  • Received:1981-06-16 Online:1982-01-18 Published:1982-01-18

摘要: This paper gives the exact solution of large deflection of circular sandwich plate under the action of uniform lateral load by the method of power series. Making use of this solution, we can judge the accuracy of Liu Ren-huai’s(4) analytic solution obtained by means of the modified iteration method. This indicates that the previous solution has very satisfactory accuracy.

关键词: strongly nonlinear system, subharmonic and ultraharmonic resonance, parameter transformation

Abstract: This paper gives the exact solution of large deflection of circular sandwich plate under the action of uniform lateral load by the method of power series. Making use of this solution, we can judge the accuracy of Liu Ren-huai’s(4) analytic solution obtained by means of the modified iteration method. This indicates that the previous solution has very satisfactory accuracy.

Key words: strongly nonlinear system, subharmonic and ultraharmonic resonance, parameter transformation

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