计算力学学报2016，Vol.33Issue(2)：182-187,201,7.DOI:10.7511/jslx201602007
Winkler-Pasternak 弹性地基梁自由振动的二维弹性分析
Two-dimensional elastic analysis for f ree vibration of beams set on winkler-pasternak elastic foundations
摘要
Abstract
Based on the two‐dimension linear elasticity theory and applied the Hamilton's principle ,the governing differential equations of free vibration for beam set on Winkler‐Pasternak elastic foundation are derived .Using differential quadrature method (DQM ) ,the free vibration dimensionless frequencies of beams are investigated numerically .With application of DQM in this paper ,it illustrated that the method was validated and accurate for Bernoulli‐Euler beams as well as for Timoshenko beams by comparison of previously reported results .Finally ,the effect of the geometrical parameter on the non‐dimensional frequency parameter of the beams ,the influence and the convergence for dimensionless frequency owing to elastic coefficients of foundation under different boundary conditions are considered .关键词
Winkler-Pasternak弹性地基/梁/自由振动/无量纲频率/微分求积法Key words
Winkler-Pasternak elastic foundations/beam/free vibration/dimensionless frequency/Differential Quadrature Method分类
数理科学引用本文复制引用
蒲育,滕兆春..Winkler-Pasternak 弹性地基梁自由振动的二维弹性分析[J].计算力学学报,2016,33(2):182-187,201,7.基金项目
国家自然科学基金（11372123）；甘肃省自然科学基金（148RJZA017）资助项目． （）
