蒙特卡洛法在异形边简支板弯曲问题中的应用

本文就如何将蒙特卡洛法应用于异形边简支板弯曲的问题进行了探讨。研究表明,它具有公式简单,原理通俗易懂,计算重复性强的特点,适于用计算机进行计算。但往往需要计算时间较长,针对这一问题,文中建议将蒙特卡洛法和解析法联合应用,这样可收到较好的效果。文中有计算实例。     

Model B-I for macro rectangular element and problems of influence surface for plate structures

Model B-I for marco rectangular element is presented for the first time in this paper. To establish the influence surface for resultant R of bending plates, a number of generalized distributive loads q are defined. It is shown by numerical examples that Model B-I and the formula for the generalized distributive loads advanced in this paper are featured by high accuracy, low memory space and flexibility in practical application, and that they are especially effective for plate structures subject to moving loads, such as the two-dimensional continuous plates of highway bridges and the flat stabs in piled jetty engineering.     

矩形宏单元B-I模型与板结构的影响面

本文首次建立了矩形宏单元的B-Ⅰ模型,比现有模式更具实用价值及灵活性.为建立薄板内力R的影响面,文中定义了诸相应的广义分布荷载q.算例表明,本文提出的模型及广义荷载公式具有计算精度高,占用内存少等优点,对承受移动荷载的板结构,诸如双向连续桥面板,高桩码头无梁板等效果尤为突出.