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These selfequilibrating stresses first increase with time and then die out.




 Since professor Koiter introduced the shakedown theorem in 1960 [1], some progresswas made, but recently there has been almost no progress. This is perhaps because complicated structures and /or complicated loading cases encountered in engineering are too difficultto deal with. In this paper we propose a method that is capable of making the shakedowntheorem applicable to complicated structures and loads in the near future.A successive linear programming approach to shakedown analysis of structures is presented.... Since professor Koiter introduced the shakedown theorem in 1960 [1], some progresswas made, but recently there has been almost no progress. This is perhaps because complicated structures and /or complicated loading cases encountered in engineering are too difficultto deal with. In this paper we propose a method that is capable of making the shakedowntheorem applicable to complicated structures and loads in the near future.A successive linear programming approach to shakedown analysis of structures is presented. In each step of calculation of the shakedown lower bound, we take a selfequlibrantstress system as the searching subspace and assume the yield condition that are temporarilyand locally linearized. Thus both the number of variables and the number of constraints inthe question are much reduced. On the basis of Koiter'S second shakedown theorem, we establish a method for estimating the shakedown upper bound to estimate the error range. Wefinally present some numerical examples, whose results indicate that our method is effective.Our numerical examples are still not as complicated in structures and loads as met within engineering. This is only because computing power is still a severe limitation in China. Ifcomputing power of the new generation of supercomputers is available, we believe ourmethod is an effective one for actual complicated structures and loads.  提出了一种适应予理想弹塑性结构安定分析的逐步渐近的线性规划有限元数值方法。在安定极限载荷下限因子的每步计算中，引入自平衡力系作为主子空间和暂时的局部线性化的屈服条件，大大减少了问题的变量数和约束数。基于安定分析的机动学定理，建立了一种估计安定极限载荷上限因子的方法，用于估计误差范围。通过算例进行了计算和分析，结果表明了本文方法是一种切实可行的结构安定分析数值方法。  In this paper, a new method of nonlinear dynamic response analysis of structures based on pattern of self equilibrating stresses is given. its theory and procedure of anlaysis are described and its theoretical formulas are deduced in detail. In the meantime, the particular analysis methods used for the framed structures modelled by girder element of revised Takeda hysteretic model are given. The difference between this new method and classical methods is that rather than updating and inverting the... In this paper, a new method of nonlinear dynamic response analysis of structures based on pattern of self equilibrating stresses is given. its theory and procedure of anlaysis are described and its theoretical formulas are deduced in detail. In the meantime, the particular analysis methods used for the framed structures modelled by girder element of revised Takeda hysteretic model are given. The difference between this new method and classical methods is that rather than updating and inverting the stiffness matrix, a pattern of self equilibrating stresses that resists the plastic deformation is computed instead. Therefore, this method can save time significantly. Finally, this method is checked by a corresponding example.,  本文给出了一个基于自平衡力的弹塑性结构动力反应分析的新方法。详细叙述了方法的原理和过程，并对用改进的Ｔａｋｅｄａ滞变模型描述的梁单元框架结构给出了具体的分析方法。这个方法与传统的方法不同，在分析中不必修正结构的刚度矩阵，而代之以计算代表塑性铰变形引起的应力重分布的动力自平衡力，因而大大地节省了计算机时。最后通过算例对本文方法进行了验证。  Nonlinear analytical models of RC structrual wall are summarized in this paper. The multi pleverticallineelement model is introduced in detail and the improved hysteretic models for its axial stiffness of vertical element and shear stiffness of horizontal spring are recommended respectively. Finally, the method of nonlinear dynamic analysis based on pattern of selfequilibrating stresses is applied to solving nonlinear seismic response of RC shear wall structures. The calculational results of an application... Nonlinear analytical models of RC structrual wall are summarized in this paper. The multi pleverticallineelement model is introduced in detail and the improved hysteretic models for its axial stiffness of vertical element and shear stiffness of horizontal spring are recommended respectively. Finally, the method of nonlinear dynamic analysis based on pattern of selfequilibrating stresses is applied to solving nonlinear seismic response of RC shear wall structures. The calculational results of an application example are verified by using classical method. It is shown that this method is effective and reliable and it has advantage of simple calculation.  本文简要评述了现有钢筋混凝土剪力墙的非线性分析模型，着重介绍了多竖线单元模型，并对其竖向单元的轴向刚度和水平弹簧的剪切刚度分别建议了改进的滞变模型。最后将基于自平衡力的非线性动力反应分析方法应用于求解剪力墙结构的非线性地震反应，并用传统分析方法对其结果进行了检验，表明该分析方法计算简便，而且是有效和可靠的。   << 更多相关文摘 
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