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

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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

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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