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A simplified matrix stiffness method for analysis of composite and prestressed beams

机译:一种用于分析复合材料和预应力梁的简化基质刚度方法

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The paper presents the simplified matrix stiffness method for analysis of composite and prestressed beams. The method is based on the previously developed "exact" analysis method that uses the mathematical theory of linear integral operators to derive all relations without any mathematical simplifications besides inevitable idealizations related to the material rheological properties. However, the method is limited since the closed-form solution can be found only for specific forms of the concrete creep function. In this paper, the authors proposed the simplified analysis method by introducing the assumption that the unknown deformations change linearly with the concrete creep function. Adopting this assumption, the nonhomogeneous integral system of equations of the "exact" method simplifies to the system of algebraic equations that can be easily solved. Therefore, the proposed method is more suitable for practical applications. Its high level of accuracy in comparison to the "exact" method is preserved, which is illustrated on the numerical example. Also, it is more accurate than the well-known EM method.
机译:本文介绍了用于分析复合材料和预应力梁的简化基质刚度方法。该方法基于先前开发的“精确”分析方法,该方法使用线性积分运算符的数学理论,除了与材料流变性质相关的不可避免的理想化之外,没有任何数学简化的所有关系。然而,该方法是有限的,因为闭合溶液仅针对具体形式的混凝土蠕变功能。在本文中,作者提出了通过引入未知变形与混凝土蠕变功能线性变化的假设来提出了简化的分析方法。采用这种假设,“精确”方法的等式的非均匀积分系统简化了可以容易解决的代数方程的系统。因此,该方法更适合实际应用。保留了与“精确”方法相比的高精度,其在数值示例中示出。此外,它比众所周知的EM方法更准确。

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