摘要
采用双参数弹性地基模型,通过弹性地基上矩形板网格划分,把网格结点的挠度微分方程化为差分方程.并引入边界条件,把地基板外的虚结点挠度用板上结点挠度表示,建立起包括各个结点挠度的差分方程组,编制相应的通用计算机程序,得到四边自由矩形板的解答.计算结果表明,该方法原理简单易懂,计算结果可靠,可在实际工程中运用.
The model of parameter foundation is adopted. Through dividing the rectangular board into net in elastic foundation, the flexibility calculus equations of knot is turned into differential equation. And quoting boundary condtion, knot＇ s flexibility of board is used to express fabricated knot＇ s flexibility in the outside of board, then establish linear differential equation group including each knot flexibility and edit identical computer programms, the answer of rectangular board which all around is freedom can be obtained. Calculation showed that this method＇s principle was handy and easy in understanding, the calculation was dependable, so this method can be applied to the practical project.
出处
《福州大学学报（自然科学版）》
CAS
CSCD
北大核心
2006年第2期272-276,共5页
Journal of Fuzhou University(Natural Science Edition)
关键词
弹性地基
矩形板
双参数
差分
elastic foundation
rectangular board
double parameter
finite difference
