Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (2): 161-167.

• 论文 • 上一篇    下一篇

FREE VIBRATION AND STABILITY OF MODERATE-THICK CANTILEVER PLATES

张音翼   

  1. Institute of Engineering Mechani, Nanchang University, Nanchang
  • 收稿日期:1994-04-18 出版日期:1995-02-18 发布日期:1995-02-18
  • 通讯作者: Chien Wei-zang

FREE VIBRATION AND STABILITY OF MODERATE-THICK CANTILEVER PLATES

Zhang Yin-yi   

  1. Institute of Engineering Mechani, Nanchang University, Nanchang
  • Received:1994-04-18 Online:1995-02-18 Published:1995-02-18

摘要: By means of the constitution of the two displacement functions and the application of the least square method and the energy method this paper gives the Reissner approximate solutions of the free vibration and the stability for the moderate-thick cantilever rectangular plate.

关键词: three-dimensional heat conduction equation, explicit difference scheme, truncation error, stability condition, moderate-thick plate, Reissner theory, boundary effect, displace-ment function, beam function, Rayleigh quotient

Abstract: By means of the constitution of the two displacement functions and the application of the least square method and the energy method this paper gives the Reissner approximate solutions of the free vibration and the stability for the moderate-thick cantilever rectangular plate.

Key words: three-dimensional heat conduction equation, explicit difference scheme, truncation error, stability condition, moderate-thick plate, Reissner theory, boundary effect, displace-ment function, beam function, Rayleigh quotient

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