›› 2007, Vol. 28 ›› Issue (S1): 753-758.

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Dynamic analysis of elastic plate resting on two-parameter foundation

XIE Hong-yang1, WANG Yuan-han2   

  1. 1. School of Civil Engineering and Architecture , Nanchang University of Aeronautics, Nanchang 330063, China; 2. School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
  • Received:2007-05-03 Online:2007-10-25 Published:2014-03-28

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Abstract: Using two-parameter foundation model and 8-node isoparametric element based on Mindlin plate theory, the FEM equation for dynamic response analysis of elastic plates resting on elastic foundation is derived by Hamilton variation principle. The effects of foundation and mass distributed within the plate are combined in the stiffness matrix and mass matrix of the plate, and the effect of the foundation outside the plate domain is taken into account by the boundary element method. The free vibration and forced vibration of a free edge square plate are analyzed. The calculated inherent frequencies are close to measured results. Forced vibration dynamic responses reach the maximum when resonance occurs. The dynamic responses of the plate with the given damp ratio tend to be the same as those with zero damp ratio during the steady vibration period. The damp can significantly decrease the resonant responses.

Key words: dynamic response, two-parameter foundation, foundation plate, isoparametric element

CLC Number: 

  • TU 435
  • Please send e-mail to pingzhou3@126.com if you would like to read full paper in English for free. Parts of our published papers have English translations.
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