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在许多如大坝、桥梁等大型土木工程结构中,结构的自重是初始设计阶段必须考虑的重要载荷之一,因此研究自重载荷作用下的结构拓扑优化设计问题具有十分重要的意义.针对考虑自重载荷作用的拓扑优化问题所面临的主要困难,总结了现有处理考虑自重载荷的拓扑优化问题的三类主要方法;提出一种基于非均匀有理B样条(non-uniform rational B-splines,NURBS)基函数插值的拓扑描述函数方法,基于此...
拓扑优化可以在概念设计阶段为工业产品结构的概念设计提供新颖的设计思路. 传统的连续体结构拓扑优化方法通常只能获得一个优化的拓扑构型,但在实际工程应用中,这个构型在后续设计阶段可能会由于分析模型逐步细化、设计要求的进一步明确而无法满足改变后的设计目标和约束. 针对此问题,提出了多样性设计求解方法(multiple designs approach,MDA),使得能够在优化过程中获得若干个多样性设计,...
We prove the arithmetic Hodge index and hard Lefschetz conjectures for the Grassmannian G = G(2; N) parametrizing lines in projective space, for the natural arithmetic Lefschetz operator de ned via t...
The orientation preserving topological symmetry group of a graph embedded in the 3-sphere is the subgroup of the automorphism group of the graph consisting of those automorphisms which can be induc...
In this paper we use the Morse theory of the Yang-Mills-Higgs functional on the singular space of Higgs bundles on Riemann surfaces to compute the equivariant cohomology of the space of semistable U(2...
We use Young’s raising operators to give short and uniform proofs of several well known results about Schur polynomials and symmetric functions, starting from the Jacobi-Trudi identity.
We prove that for every closed, connected, orientable, irreducible 3-manifold, there exists an alternating group An which is not the topological symmetry group of any graph embedded in the manifold. ...
The Ptolemy variety for SL(2; C) is an invariant of a topological ideal triangulation of a compact 3-manifold M. It is closely related to Thurston’s gluing equation variety. The Ptolemy variety maps...
We present a method for generating 2-D unstructured triangular meshes that undergo large deformations and topological changes in an automatic way. We employ a method for detecting when topological ch...
We generalize a construction of the Neron model for a family of intermediate Jacobians due to Green, Griths and Kerr by using the theory of mixed Hodge modules. It is a topological group de ned ov...
We show that Margulis spacetimes without parabolic holonomy are topologically tame. A Margulis spacetime is the quotient of the 3-dimensional Minkowski space by a free proper isometric action of the ...
Let S be a closed oriented surface of genus g > 1 and let ~r denote its fundamental group. Let G be a semisimple Lie group. The purpose of this paper is to investigate the global properties of the s...
We construct examples of topologically conjugate unimodal maps, such that both of them have an absolutely continuous invariant measure, but for one of them that measure is finite, and for another one ...
利用拓扑度方法,结合分析边值条件,研究了一类具有变号非线性项的二阶三点边值问题的正解的存在性.
We show that topologically expansive Lorenz maps can be described up to topological conjugacy by their kneading invariants. We also give a simple condition on pairs of symbol sequences which is satisf...

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