RESEARCH ON DYNAMICS OF A THIN RECTANGULAR PLATE ON NONLINEAR ELASTIC FOUNDATION
Gao Yongyi1，Tang Guo2，Wan Wen3
Hunan University of Science and Technology，1.College of Physics，2. School of Mathematics, 3. School of Mining and safety Engineering，Xiangtan, 411201，Chinese
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.
2013, Vol. 32 
