共查询到19条相似文献,搜索用时 156 毫秒
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分析了非线性变壁厚扁球壳的有矩内力,将其表达成辐角ψ的函数.运用塑性理论中的Tresea屈服条件,进行结构弹塑性阶段的内力研究.并用优化理论的满应力指数法分段进行壁厚的满应力优化设计.给出扁球网壳各杆件的最优尺寸.通过一个算例说明非线性扁球网壳优化设计的过程,并给出内力计算的表格和材料选用的表格.实现非线性扁球网壳的优化设计. 相似文献
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基于考虑横向剪切变形的厚壳位移型基本方程及扁壳基本假定,建立关于5个中面位移为5个独立变量的厚扁壳及厚扁球壳的位移型基本方程.对矩形底厚扁球壳的位移型基本方程(变系数十阶微分方程),通过引入5个辅助位移函数,同时运用柯西——黎曼条件,建立其解耦的控制微分方程,最后使用5个辅助位移函数求出5个位移分量.厚扁壳的位移型基本方程退化为厚扁球壳及薄扁球壳的位移型方程的正确性说明所推导方程具有一般性. 相似文献
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基于考虑横向剪切变形的厚壳位移型基本方程及扁壳基本假定,建立了以5个中面位移为5个独立变量的厚扁壳位移型基本方程,并由此得到厚扁球壳在正交曲线坐标及极坐标下的位移型基本方程。为了求解圆底球面厚扁壳在极坐标下的位移型基本方程,通过引入4个辅助位移函数,建立其解耦的控制微分方程,最后通过这4个辅助位移函数求出5个位移分量。结果表明,厚扁壳的位移型基本方程退化为厚扁球壳及薄扁球壳的位移型方程是正确的,且所推导方程具有一般性。 相似文献
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冯仲齐 《西安冶金建筑学院学报》1994,26(2):117-122
推导出了几何非线性和物理非线性的扁球壳在法向荷载作用下增量形式的基本微分方程,并用伽辽金配点法求解该方程,给出了轴对称扁球壳在均布荷载作用下的数值计算结果。 相似文献
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厚圆柱扁壳位移型基本方程及控制方程分析 总被引:2,自引:2,他引:0
基于考虑横向剪切变形的厚壳位移型基本方程及扁壳基本假定,建立了以5个中面位移为5个独立变量的厚扁壳及厚圆柱扁壳位移型基本方程。对厚圆柱扁壳进行了动力分析,首先引入3个辅助位移函数,同时运用柯西-黎曼条件,将5个二阶微分方程变形为1个二阶和2个四阶过渡微分方程;然后引入另一辅助位移函数,建立其解耦的控制微分方程;最后利用4个辅助位移函数求出5个位移分量。结果表明,厚扁壳的位移型基本方程退化为厚圆柱扁壳及薄圆柱扁壳的位移型方程是正确的,且所推导的方程具有通用性。 相似文献
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本文提出球形扁壳结构内力计算的精确方法——步进求和法。即将球扁壳(大、小挠度)变形划分若干段,用带有初挠度的小变形满足每段的方程。将偏微分控制方程化为三次代数方程,获得结构内力的精确解。文中用算例说明球扁壳大挠度、小挠度控制方程的步进求和算法,并与其它近似解法比较其精确性。 相似文献
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以中厚度扁球壳的一般理论为基础,得到了极坐标系下的弹性地基上中厚度扁球壳的基本方程.该控制方程组是十阶方程组(对轴对称问题,则为八阶方程组).以应力函数、位移函数和壳体中面的法向位移为基本未知量,利用混合法对该控制方程组进行了求解,所得的解析解答则是以三角级数、Bessel函数和调和函数表示的.求解结果表明,当n=0时,中厚度扁球壳每边的边界条件为3个;当n=1时,每边的边界条件为4个;当n>1时,每边的边界条件为5个.解答还可以退化到无地基影响的中厚度扁球壳的计算以及薄扁球壳的计算.文末对位于Win-kler弹性地基上的圆底封顶中厚度扁球壳进行了数值计算,并与薄壳理论的计算结果进行了比较. 相似文献
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本文根据扁壳的弯矩理论讨论了矩形底球面扁壳的解析解。给出的内力及位移分量的表达式可用来考虑连续壳体的边界影响。解析解采取单级数形式。通过数值计算的结果分析,证明解的收敛性较好,可满足工程设计的要求。已编制了输入数据简单且勿需较大内存的微机通用程序。 相似文献
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沿柱支承钢扁网壳的拉力环域施加适当预应力能降低结构在使用阶段的变形。以预应力三阶段设计为例分析预应力施加对柱支承扁网壳静力性能的影响。结果发现,预应力可以降低支座水平推力,提高结构刚度,但同时增大了结构在负风压作用时的变形,加大了支座附近杆件的轴力。预应力不能有效提高结构的临界荷载。与其他布索方案相比,折线形索-桁方案对网壳变形控制更有效。 相似文献
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This paper investigates the long-term and thermal behaviour of spherical shallow, thin walled concrete domes. Although these structures are vulnerable to creep, shrinkage and thermal effects, a thorough understanding of their time-dependent behaviour has hitherto not been fully established. The paper aims to provide outcomes and insight to enhance the effective design and safe use of shallow concrete domes, and a theoretical model, which accounts for the membrane and bending behaviour, as well as for creep, shrinkage and thermal effects, is developed for this purpose. The analytical model uses variational principles, equilibrium requirements, and the time-dependent constitutive relations of the concrete material. The equilibrium equations derived from this boundary value problem are solved via the so-called multiple shooting numerical method, which enables the incorporation of the variable thickness of the shell, its different boundary conditions, and various types of axisymmetric loadings in the solution. A numerical example and a parametric study, which highlight the capabilities of the proposed theoretical model and which provide some insight into the long-term and thermal behaviour of shallow concrete domes, are presented. The results show that long-term and thermal effects play important roles in the behaviour and structural safety of shallow, thin-walled concrete domes, and so these effects need to be fully understood and quantifiable. 相似文献
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An investigation into the large deflection, geometrically nonlinear behaviour of shells is carried out in the present paper. The finite element method is used in conjunction with linearised incrementation and the Newton-Raphson iterative technique.The finite element used is based on independent strain assumptions insofar as it is allowed by the compatibility equations. Strain-displacement relationships based on shallow shell formulation are used and applied to an element having three principal curvatures. The resulting element has the only essential external degrees of freedom, satisfies the exact requirement of strain free rigid body modes of displacements and can be used for the representation of cylindrical, spherical and hyperbolic paraboloid shells.Complex load-deflection curves are obtained for cylindrical and spherical shells by incrementing loads as well as deflections. The relative behaviour of cylindrical and spherical panels having the same overall dimensions are also discussed in terms of stiffness, instability and snap-through phenomena. 相似文献
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Reasonably accurate natural frequencies are presented for simply supported shallow shells on rectangular planform subjected to 55 possible combinations of edge constraints. Thin shallow shell theory is used. Accurate natural frequencies of doubly curved shallow shells are presented and can be used for benchmarking by researchers as well as reference data for practicing engineers. Natural frequencies are presented for various shell curvatures including spherical, cylindrical and hyperbolic paraboloidal shells. 相似文献