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根据板壳理论建立了具有焊接残余应力矩形簿板的非线性动力学方程;利用Galerkin原理,首次获得了具有焊接残余应力矩形簿板的非线性运动方程。在该非线性运动方程的基础上,研究了焊接残余应力对矩形簿板稳定中心点具有稳定解的邻域范围的影响;讨论了焊接残余应力对矩形簿板稳定中心点具有稳定解的邻域范围所对应的积分常数临界值的影响。研究结果表明:随焊接残余应力的增加,非线性矩形薄板相平面图中稳定中心点具有稳定解的邻域范围增大,非线性矩形薄板运动范围增大。
According to the theory of plate and shell, a nonlinear kinetic equation of welding rectangular bar with welding residual stress was established. For the first time, the nonlinear equation of motion of rectangular bar with welding residual stress was obtained by Galerkin principle. On the basis of this nonlinear equation of motion, the influence of welding residual stress on the neighborhood of the stable central point of the rectangular book has been studied. The neighborhood of the steady solution of the welding residual stress to the stable central point of the rectangular book The range of the integral constant threshold impact. The results show that with the increase of welding residual stress, the neighborhood of the stable center point of the nonlinear rectangular thin plate with stable solution increases and the range of motion of the nonlinear rectangular thin plate increases.