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提出一类用于三维层板的谱单元,使其解决三维层状夹板在半无限地基上受冲击荷载的动力问题。频域内,结构中的每一层被模拟为两节点谱单元或单节点谱单元。层单元中的波动解采用入射波和反射波解的叠加形式。进而利用快速傅立叶变换技术(FFT),得到时域内三维层状夹板的瞬态响应分析的结果。以半无限地基上双层板为例,对其进行了矩形脉冲荷载下的动力响应分析,并与有限元的计算结果进行了对比,两者的吻合良好。通过对不同夹板厚度和弹模的分析比较,得到对于设计隔振系统的优化思路。
A class of spectral elements for three-dimensional laminates is proposed to solve the dynamic problem of three-dimensional laminar splints subjected to impact load on a semi-infinite foundation. In the frequency domain, each layer in the structure is modeled as a two node spectral unit or a single node spectral unit. Fluctuations in layer units use superposition of solutions of incident and reflected waves. Then the fast Fourier transform (FFT) is used to obtain the transient response analysis results of the three-dimensional layered splint in the time domain. Taking the semi-infinite foundation double-layer slab as an example, the dynamic response under rectangular pulse load is analyzed and compared with the finite element method. Through the analysis and comparison of the different splint thickness and the elastic modulus, the optimization idea for designing the vibration isolation system is obtained.