【摘要】 本文以幂函数多项式作位移函数,用配点法计算了受轴对称分布荷载的圆形大挠度板。文中考虑了固定夹紧、可移夹紧、铰链支承、简单支承等四种边界条件。在计算例题中,荷载采用多项式形式、余弦函数形式的分布荷载以及均布边弯矩荷载或者由它们组合而成的荷载。通过上百个例题的计算,表明此法具有精度高、收敛快等优点。本文还将其所得的结果同用摄动法等得到的结果进行了比较。更多还原

【Abstract】 In this paner,after a polynomial is selected as displacement function,the solution of large defletion of circular plate under axi-symmetrical distributed load by method of point collocation is obtained.Four boundary conditions are considered.They are rigidly clamped,clamped but free to slip,simply supported and simply hinged.In numerical examples,distributed load is regarded as polynomial function,cosine function or uniform moments along the edge and their combination.Excellent accuracy and convergence are manitfested by calculating more than 100 examples.Rasults ane compared between method of point collocation and perturbation method.更多还原