角铺设层板弯曲问题的一种半解析法

A SEMI-ANALYTIC METHOD FOR BENDING OF ANGLE-PLY LAMINATES

  • 摘要: 本文把中的方法用于单连通角铺设层合板的弯曲分析,多组算例表明了此法有较好的收敛性,卽使对板的内力,也往往能以较少的侍定系数及配点获得令人满意的结果。

     

    Abstract: The deflection of symmetric angle-ply laminated plates is expressed by a series which exactly satisifies the bending governing equation and,in a common simply connected region,can uniformly approximate any solution of the equation.The coefficients of the series are determined by the use of the boundary collocation method.For nonsymmetric laminates,if the reduced bending stiffness is introduced,the method can also be applied.A number of examples are presented in order to investigate the convergency of the deflection and the internal forces.For clamped round laminates,aeeurate results can be obtained by taking only 6 undetermined coefficients and 3 collocations.For simply supported ±45°angle-ply regular rhombic laminates,when 13 coefficients and 7 collocations are taken,the deviation of results from the double trigonometric series is very small.For simply supported square anisotropic plates,the difference between the results obtained by the isotropic skew plate analogy and those by the semi-analytic method with 13 coefficients and 10 collocations is less than 1.7%.For clamped ±45°square laminates for which no exact solution exists,the results are obtained by taking 13 coefficients and 7 collocations and by taking 33 coefficents and 25 collocations,and it is found that there is little differency between them.

     

/

返回文章
返回