求解结构地震响应位移输入模型存在的问题及其AMCE实效对策

Problem inherent in displacement input model for calculating structural responses under earthquake ground motion and an effective solution method called AMCE

提出一种实效方法-刚性无质量束缚元AMCE(Appended Massless Constraint Element)法,以解决地震地面运动作用下求解结构响应的位移输入模型中容易而不容忽视的问题。首先对位移输入模型进行了详细分析,明确指出当前位移输入模型在理论上会导致计算结果具有不稳定性和不可靠性,进一步通过算例对此加以说明;针对此问题,提出了AMCE解决方法,并对本方法进行物理角度解释、理论分析和数值验证。结果表明,AMCE法不仅物理概念清晰、简单可行,而且具有足够的计算精度。

An effective method called Appended Massless Constraint Element （AMCE） method is presented and proposed, which is adopted to settle the problem, easy but not to be neglected, inherent in the displacement input model for calculating the structural responses under earthquake-induced ground motion. Based on the comprehensive and intensive analysis of the displacement input model in this paper, it points out explicitly that there is the unstability and extreme irrationality of the calculation results while adopting the displacement input model. To solve the problem, the RMCE method is presented. Then, the rationality and accuracy of the proposed method are further verified. Theoretical analysis and numerical results demonstrate that the proposed method is simple, feasible and possesses high accuracy.