论文部分内容阅读
从非线性弹性理论出发,应用Hamilton原理,采用三次多项式作为位移函数给出了考虑恒载效应影响的一般形式的单元刚度矩阵,建立了考虑恒载效应影响时梁静力分析的有限元方法,为解决各种不同构造、荷载类型、刚度变化、边界条件下的实际结构考虑初始恒载影响提供了有效的工具。讨论了在分布和集中两种恒载类型条件下恒载大小、结构自身刚度(惯性矩、惯性半径、跨度)等因素对各类梁(简支梁、两端固支梁、悬臂梁)静力反应的影响,结果表明:梁自身的刚度会对恒载效应造成影响,结构越柔(约束越弱、或惯性矩越小、或跨度越大、或回转半径越小),这种影响越大。验证了初始恒载的存在减小了梁在活载作用下的静力反应,并且这种影响与恒载的大小及结构自身的刚度有关。
Based on the theory of nonlinear elasticity, the general form of element stiffness matrix considering the influence of dead load effect is given by Hamilton principle and the cubic polynomial is used as the displacement function. The finite element method of static analysis considering the effect of dead load is established. Various structures, load types, stiffness changes, the actual structure of the boundary conditions to provide an effective tool to consider the impact of initial load. The influences of the dead load size, the stiffness of the structure itself (moment of inertia, inertia radius and span) and other factors on the stability of various types of beams (simply supported beams, both ends fixed beams and cantilever beams) The results show that the rigidity of the beam will affect the permanent load effect. The softer the structure (the weaker the restraint, the smaller the moment of inertia, or the larger the span or the smaller the radius of gyration) Big. It is verified that the existence of the initial dead load reduces the static response of the beam under the action of live load, and this effect is related to the size of the dead load and the stiffness of the structure itself.