一维周期基础的带隙解析解及其优化设计研究

Analytical solution of one-dimensional periodic base band gap and its optimal design

周期结构的带隙特征为土木工程隔震领域提供了新思路,其中一维周期基础结构因其构造简单且经济适用而倍受关注。本文通过研究一维周期基础结构的振动特性,推导了用于计算一维橡胶-混凝土周期基础带隙的近似解析解,并在此基础上提出了基于上部结构共振区的一维橡胶-混凝土周期基础优化设计方法。频域和时域数值算例表明,由该优化方法所设计的周期基础可保证其上部结构在一个宽且连续的频段内均有较好的减震效果。

The band gap characteristics of periodic structures provide a new idea for the field of seismic isolation in civil engineering,among which the one-dimensional periodic foundation structure has garnered significant attention due to its simple structure and economical applicability.In this paper,by studying the vibration characteristics of the one-dimensional periodic base structure,an approximate analytical solution for calculating the one-dimensional rubber-concrete periodic base band gap is derived,and on this basis,a one-dimensional rubber-concrete periodic foundation optimization design method based on the resonance zone of the superstructure is proposed.Numerical examples in the frequency domain and time domain show that the periodic foundation designed by this optimization method can ensure a good damping effect of its superstructure in a wide and continuous frequency range.