梁状浮筏隔振系统的降价建模方法

A Condensed Modeling Approach for Floating Raft Isolating System consisted of Beams

本文提出了一种梁状浮筏隔振系统结构形式。该系统是由2根自由-自由梁和连接梁与梁、梁与基础的弹簧及阻尼组成。为了减少在动力分析和结构动力优化设计中的计算工作量，本文提出了一种降价建模方法。由该方法得到的降价系统，能很好地保留由未缩聚有限元模型建立起来的系统低阶动特性。与部件模态综合法相比，该方法形成降价系统的总刚度矩阵和质量矩阵的过程简单，且计算结果通常不需要坐标转换即可求得系统的动力响应。通过一实例计算表明，本文提出的方法是可行的。

A floating raft isolating system consisted of beams is presented in this paper. The system is composed of two free-free beams and the connecting springs and dampers between beam and beam, beam and ground. In order to reduce the computational work in dynamic analysis and especially in structural dynamic optimization, a condensed modeling method is proposed. The reduced system can finely retain the lower dynamic characteristics of original system modeled with full finite element mode. Compared with component mode synthetic, the proposed method is simple to formulate structural stiffness and mass matrices of reduced system and co-ordinate transformation is unnecessary when calculating structural dynamic response. Numerical example demostrates that the proposed method is feasible.