【摘要】 运用结构力学混合法的基本原理分析了四边自由域内任意点支承矩形板,对荷载和支承点位置的一般情形求得了统一的解析解;直接将对称性条件引入统一解中,得到了各种特殊情况下未知数个数显著减少的解;运用同一问题不同形式解答间的对应关系,得到了一系列有用的级数求和公式,加快了解的收敛。给出了数值算例,并简单讨论了支承点位置变化对板位移、内力的影响。结果表明该方法精度较高。计算工作量较小。图4表4参6更多还原

【Abstract】 Hybrid method in structural mechanics has been used to analyze bending of rectangular points with four free edges supported at internal points and general analytical solution has been obtained. To correspond with some special situayion, symmetric conditions are directely utilized to reduce the varibles in the general solution. On account of summation of relevant series, the obtained solution converges rapidly. Numerical examples are presented and effects on displacement and internal forces owing to the variation of supporting points are briefly discussed. The results show that high degree of accuracy can be gained by a small quantity of calculation.更多还原