RESEARCH ON DYNAMICS OF A THIN RECTANGULAR PLATE ON NONLINEAR ELASTIC FOUNDATION

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Journal of Vibration and Shock ›› 2013, Vol. 32 ›› Issue (16) : 182-186.

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RESEARCH ON DYNAMICS OF A THIN RECTANGULAR PLATE ON NONLINEAR ELASTIC FOUNDATION

Gao Yongyi1，Tang Guo2，Wan Wen3

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Abstract

Seismic response characteristics and vibration stability of the thin rectangular plate on nonlinear elastic foundation by damping of the foundation plate and nonlinear effect were investigated herein. A nonlinear dynamical equation of the small deformation thin rectangular plates on nonlinear elastic foundation subjected to harmonic excitation was established. The frequency response equation was derived and the frequency response characteristics was researched and nonlinear dynamic response to a seismic excitation were analyzed by the method of harmonic balance. The effectness of nonlinear factors and nonlinear vibration stability of the foundation plate were studied. The boundary equation of steady region and instability region was obtained. The condition of ignore nonlinear factors on the foundation plate was acquired. The conclusions of the paper are helpful to the accurate design and effect analysis of. the foundation plate.

Key words

nonlinear elastic foundation / thin rectangular plate / nonlinear vibration / frequency response characteristics / stability

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Gao Yongyi;Tang Guo;Wan Wen. RESEARCH ON DYNAMICS OF A THIN RECTANGULAR PLATE ON NONLINEAR ELASTIC FOUNDATION[J]. Journal of Vibration and Shock, 2013, 32(16): 182-186