摘要
对于两对边简支、两对边自由的矩形板,用经典薄板理论不能求得Q的精确解,根源在于Kirchhoff变换剪力V_y=0在静力等效上的局限性。对上述板,通过一个实例,用Reissner中厚板理论和经典薄板理论的解做比较,发现若自由边板的边界条件M_y=V_y=0用梁的边界条件M_y=Q_y=0替代,就能得到与用Reissner板理论相同的精确内力Q_x、Q_y。这样,就提供了一个计算上述薄板精确剪力Q_x、Q_y的简化的方法。它对提高以薄板为力学模型的各种桥跨结构的剪力计算的精度,可望具有较高的实用价值。
In this paper to discuss the rectangle plate which is simply supported at the opposite sides and free at the other sides, the exact solution of shear connot be obtained by the classical thin plate theory,since the Kirchhoff-Transformational shear V_y=0 is rather limited in statical balance equivalent. For above mentioned plate,through an example to make comparison between solutions of Reissner medium thick plate theory and of classic thin plate theory, it is found that if the plate boundary condition of free sides M_y=V_y=0 is taked the place of beam one M_y=Q_y=0,we can obtain the exact internal forces Q_x and Q_y which is the same as that by Reissner-plate theory. The paper puts forword a simplified method exactly calculating shears Q_x, Q_y for above mentioned plate,which will exert a greater practical value on improving accuracy of the shear calculating of the various bridge span constructions which take the thin plate as the mechanics model.
出处
《东北林业大学学报》
CAS
CSCD
北大核心
1993年第5期65-75,共11页
Journal of Northeast Forestry University
关键词
弹性力学
薄板
桥跨分析
剪力
Elasticity mechanics
Thin plates
Boundary conditions
