移动荷载作用下Winkler地基板的等参元分析

Analysis of elastic plate resting on Winkler foundation subjected to moving load by isoparametric element method

采用基于Mindlin板理论的8节点等参单元和Newmark逐步积分法,对Winkler地基上的弹性薄板和厚板在移动荷载作用下的动力响应进行了分析,并与已有的薄板有限条法分析结果进行了对比。考察了荷载移动速度、地基基床系数、系统阻尼比对地基板动力响应的影响。分析结果表明,系统存在固有的共振速度,地基基床系数是确定共振速度的最重要因素,薄板与厚板的挠度响应模态有很大差异。结果证明了该方法的有效性和准确性,对实际工程有重要的应用价值。

Using 8-nodes isoparametric element based on Mindlin plate theory and Newmark method, the dynamic responses of both thin and thick elastic plates resting on Winkler foundation subjected to moving load are analyzed. The results of thin plates are compared with the available results obtained by finite strip method. The effects of velocity, foundation modulus, and system damping ratio are studied. Results indicate that the system has an inherent resonant velocity. The foundation modulus is the key factor determining the resonant velocity. The deflection shapes of thin plates are significantly different from those of thick plates. Results also show the efficiency and accuracy of the presented method. Some of these findings can be applied to practical engineering.