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讨论了分析超静定连续梁弹塑性受力和变形全过程的单位荷载法,运用该方法分析了集中荷载作用下一次超静定两跨连续梁的弹塑性加载和变形全过程.根据受力变形的特点,集中荷载作用下两跨连续梁的弹塑性加载过程可分为四个阶段,分别是弹性阶段、集中荷载作用点附近塑性区扩展阶段、集中荷载作用点保持为塑性铰而附近区域线性卸载阶段、两跨连接点附近塑性区扩展直至形成第二个塑性铰阶段.给出了加载过程中各阶段的弯矩内力和竖向位移随外荷载而变化的解析公式.研究结果表明:在相同的单跨荷载工况下,连续梁的变形过程不同于单跨一次超静定梁,其塑性铰形成顺序不同,静定结构形成顺序不同,但塑性极限破坏荷载相同. 相似文献
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IntroductionWhenastaticallyindeterminatetrusshasalowerloadcapacityowingtothetremendousdifferenceofinternalforcesofbars,itdoesn’tlayingoodworkingstate.Toincreasethecapacity ,cross_sectionalareasofelementsareoptimizedbytheprogrammingmethodandthecriterion… 相似文献
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用位移法推导出载荷作用下多杆汇交问题的通解,避免了列出复杂的几何关系. 通过算例表明,无论是静定还是超静定问题,都可用其求解. 相似文献
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在外载荷作用下的不同模量静不定桁架平衡问题,是任意有限多个自变量的多元函数在任意有限多个约束条件下的极值问题,对采用拉格朗日乘数法求解此类极值问题进行了数学证明.通过求解不同模量静不定桁架极限载荷的几个算例,阐述拉格朗日乘数法在计算不同模量静不定桁架极限载荷中的应用.研究结果表明:采用拉格朗日乘数法求解不同模量静不定桁架极限载荷的通用性较强,用拉格朗日乘数法求解不同模量静不定桁架极限载荷的方法不但克服了常规方法需利用几何关系建立协调方程的缺陷,且具有力学概念清晰直观、计算过程简便、便于工程设计人员在实际中掌握和应用. 相似文献
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The inner-wall loading by three-point bending about thin-walled pipe is an elastic-plastic secondary indeterminate problem in the symmetrical three-roller setting round process. In this study, the shifting of the tangent point between the pipe and lower roller is ignored. The bilinear hardening material model is adopted, and the static equilibrium condition, physical relationship of elastic-plastic deformation, and deformation compatibility condition are taken into account. Based on the geometrical discrete idea, a semi-circular pipe is meshed equably into N micro-pipe-wall elements with same geometric parameters along the circumferential direction. Deformation characteristics of each element are calculated, and then the deformation history response of the whole pipe is resolved by the load increment method. The finite element model of static bending in three-roller setting round process is established by using the software package ABAQUS. The theoretical and simulated results show that the cross section of pipe has two positive bending regions and two reverse bending regions; the maximum bending curvature appears in the bottom section of pipe, the minimum bending curvature appears in the section corresponding to the tangent point of the pipe and lower roller. The quantitative relationships between the upper roller load, maximum(minimum) bending curvature and reduction are given. Finally, the reliability of theoretical calculation is proved by numerical simulation. 相似文献
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风力发电机的应力分析是保障其安全运行乃至结构设计的基础.垂直轴风机的支撑结构一般都是超静定的,主要承受风载及高速旋转引起的离心力,因此对风轮重量有严格的要求.在结构总体设计时必须先对其进行力学分析,并进行受力优化,才能进行详细的零部件设计,数值分析往往只在设计基本定型后才能进行.一些风机在大风时发生飞车事故,其原因都是因为结构受力不合理导致关键部位应力过大或强度不足所引发的.本文针对垂直轴风机叶片和支撑系统,首先对支点位置进行优化,并推导出叶片、支撑杆、斜拉索等的受力公式,为此类部件的设计提供广适性的力学方法,并对垂直轴风机的一些关键安全性问题进行讨论. 相似文献
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成祥生 《应用数学和力学(英文版)》1993,14(5):417-428
This paper discusses the generalized variational principles founded by thetechnique of Lagrangian multipliers in structural mechanics and analyzes the nonlinearstatically indeterminate structures.It is assumed that the stress-strain relationship ofthe materials of structures has the form ofσ=Bε~(1/m)orτ=Cγ~(1/m),namely,thephysical equations of structures have the shape of exponential functions.Severalexamples are given to illustrate the statically indeterminate structures such as thetrusses,beams,frames and torsional bars. 相似文献
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周祝林 《应用数学和力学(英文版)》1985,6(6):569-578
The minimum weight of sandwich construction which is regarded as objective function has been discussed. Under given constraint condition of the strength or the stiffness, the four optimum parameters of sandwich construction with honeycomb core (thickness of the face tf, thickness of the honeycomb core hc, thickness of the honeycomb wall ts, side length of the honeycomb cell c) are evaluated. By using constraint condition of the strength, a equation of high degree is finally solved. In the constraint condition of the stiffness, the constraint optimization problem is treated as inconstraint optimization problem with the method of obtaining extreme value solution by undetermined parameter multiplication. Also, the results are discussed. 相似文献