用Newton-Raphson法求解复合材料多层板壳大挠度非线性问题

SOLUTION ON LARGE DEFLECTION NONLINEAR PROBLEM OF LAMINATED COMPOSITE SHALLOW SHELLS AND PLATES BY NEWTON RAPHSON METHOD

本文在文献［１］的基础上，对复合材料多层板壳大挠度非线性问题建立了适合用Ｎｅｗｔｏｎ－Ｒａｐｈｓｏｎ法求解的关系式。文中分析了四边简支的复合材料多层矩形扁壳，与小挠度线性理论解析解及ＡＤＩＮＡ非线性解进行了对比。结果表明，载荷较大发生大挠度时，本文的大挠度非线性解和ＡＤＩＮＡ非线性解非常接近。

Based reference,in this paper the formula on Newton Raphson method is presented for the reseach of large deflection nonlinear problem of laminated composite shallow shells and plates. We have analyzed the rectangular laminated composite shallow shells. The results have been compared with the small deflection linear analytical solution and ADINA nonlinear solusion. The results proved that the solution in the condition of large loads conincides with ADINA nonlinear solusion and is different from small deflection linear analytical solution.