共查询到3条相似文献,搜索用时 0 毫秒
1.
曾六川 《应用数学和力学(英文版)》2003,24(3):344-354
IntroductionLetKbeanonemptysubsetofaBanachspaceX .ThenamappingT :K→KissaidtobeaLipschitzianmappingif,foreachintegern≥ 1 ,thereexistsaconstantkn >0suchthat‖Tnx-Tny‖ ≤kn‖x-y‖ forallx ,y∈K .ALipschitzianmappingTissaidtobeuniformlyk_Lipschitzianifkn =kforalln ≥ 1 ;no… 相似文献
2.
Based on the boundary layer theory for the buckling of thin elastic shells suggested in ref. [14]. the buckling and postbuckling
behavior of clamped circular cylindrical shells under lateral or hydrostatic pressure is studied applying singular perturbation
method by taking deflection as perturbation parameter. The effects of initial geometric imperfection are also considered.
Some numerical results for perfect and imperfect cylindrical shells are given. The analytical results obtained are compared
with some experimental data in detail, which shows that both are rather coincident. 相似文献
3.
A new approach for the solution of singular optimum in structural topology optimization 总被引:4,自引:0,他引:4
In order to overcome the difficulties caused by singular optima, in the present paper, a new method for the solutions of structural
topology optimization problems is proposed. The distinctive feature of this method is that instead of solving the original
optimization problem directly, we turn to seeking the solutions of a sequence of approximated problems which are formulated
by relaxing the constraints of the original problem to some extent. The approximated problem can be solved efficiently by
employing the algorithms developed for sizing optimization problems because its solution is not singular. It can also be proved
that when the relaxation parameter is tending to zero, the solution of the approximated problem will converge to the solution
of the original problem uniformly. Numerical examples illustrate the effectiveness and validity of the present approach. Results
are also compared with those obtained by traditional methods.
The project supported by the National Natural Science Foundation of China under project No. 19572023 相似文献