【摘要】 Bouc-Wen模型广泛用于描述工程结构中的非线性滞回特性,然而该模型中的滞回恢复力与相对位移变形量的关系以微分形式给出,不能直接迭代滞回模型到系统运动控制方程,从而增加了解析法分析系统动力响应的难度。文中提出采用直接表示形式代替Bouc-Wen的微分模型,在弱非线性情况下,假定滞回恢复力可以表示为相对变形位移的指数形式,并进一步用泰勒展开的方法表示为简单的多项式形式。通过实例分析,验证多项式直接表示模型的可行性,其中二阶近似形式比一阶近似形式更为接近微分模型。将该直接表示模型应用于单自由度振动系统中,发现系统的动力响应和采用微分模型的响应基本吻合,其中具有软特性的系统响应尤为接近。更多还原

【Abstract】 Bouc-Wen hysteretic model is widely used to describe the nonlinear characteristics for structural systems.However,the restoring force is expressed by differential form of the displacement,which makes it difficult to analyze dynamic responses by substituting the hysteresis model into the governing equation of motion.Assuming that the restoring force is the exponential function of the displacement and that the non-linearity is weak,a direct expression is adopted instead of Bouc-Wen differential model.Furthermore,a power series expression by the polynomial of the displacement is educed using Thaler’s expandedness.Taking several representative examples,trajectories of hysteretic loops and dynamic response curves of single-degree-of-freedom systems are obtained and compared well with the results of the Bouc-Wen differential model in order to examine the validity of the present polynomial expression.The results draw quite a lot agreement,especially for the second-order approximations and the systems with softening behavior.更多还原