symmetry plane
1.The variance of stress about particular points that situate on the edge where maximum stress point locates as the object function, we introduce complex method to optimize the position of exterior load point about pylon along the voyage direction and the angle between anti-swing stop and right-and-left symmetry plane about pylon under the determinate loads. We also compare the unoptimizable stress curves with the optimized to validate the feasibility and correctness of the optimization method.
3.In order to overcome the shortages resulted from hypothesis of small deformation in radial symmetry based on thick-wall cylinder, plane stress and uniform pressure about residual stress around cold-expanded hole, a new model was proposed which takes into consideration the effect of split-sleeve, the different states along thick direction of specimen.
7.Using the Liapunov-Schmidt method and symmetry-breaking bifurcation theory, wecompute and visualize multiple solutions of Lane-Emden equation on the plane of R2 with ahomogeneous Dirichlet boundary condition, which plays an important role in stellar structureand evolution theory.
9.By the help of geometric significance of plane or space curve and space surface, and by use of the symmetry of curve and surface to coordinate axis and coordinate surface, how to use the symmetry to calculate the surface integral and curve integral is discussed for the odd (even) functions that are defined on the curve or surface with symmetry.
