论文标题
支柱网的限制分析
Limit analysis of strut nets
论文作者
论文摘要
桁架结构由专门在张力或压缩方面工作的成员组成，出现在科学和工程的几个问题中，例如，在研究砌体结构的抵抗机制以及蜘蛛网启发的Web结构的设计中。这项工作概括了先前的结果，这些结果能够支持在紧张下支持分配的结节力组。我们将这样的问题扩展到固定和可变淋巴结载荷的仅压缩“支柱网”的极限分析。这些系统提供了砌体体的离散元素模型，这些模型位于多边形/多面体内，并在给定力的应用（“基础砌体结构”）的应用点处。假定固定的节点力与与标量乘数（负载乘数）成比例生长的可变力相结合，并且支撑支撑杆网受到给定淋巴结位置的运动限制。
Truss structures composed of members that work exclusively in tension or in compression appear in several problems of science and engineering, e.g., in the study of the resisting mechanisms of masonry structures, as well as in the design of spider web-inspired web structures. This work generalizes previous results on the existence of cable webs that are able to support assigned sets of nodal forces under tension. We extend such a problem to the limit analysis of compression-only 'strut nets' subjected to fixed and variable nodal loads. These systems provide discrete element models of masonry bodies, which lie inside the polygon/polyhedron with vertices at the points of application of the given forces ('underlying masonry structures'). It is assumed that fixed nodal forces are combined with variable forces growing proportionally to a scalar multiplier (load multiplier), and that the supporting strut net is subjected to kinematic constraints at given nodal positions.
