【摘要】 针对实际周期结构为有限周期的问题,对有限周期结构梁的弯曲振动特性进行了研究.推导计算了有限结构的弯曲振动传递率;分析了弯曲振动衰减频率与元胞长度和厚度的关系,结果表明:有限周期结构的衰减频带比无限结构的带隙略宽,随着周期数目的增加,衰减频带逐渐向带隙靠近;当有限周期梁结构的材料,元胞内各组分的长度、厚度的比值一定时,衰减频带的起始频率和截止频率与元胞长度的二次方成反比,与元胞厚度成正比.更多还原

【Abstract】 Aiming at the problem that the actual periodic structure is of finite period,the flexural vibration characteristics of finite periodic structure beams were studied.The flexural vibration transmission rate of finite periodic structure beam was deduced,and the relationship between the attenuation frequency of flexural vibration and the length and thickness of cell was analyzed.The results show that the attenuation band of finite periodic beam structure is slightly wider than that of the infinite structure,but as the number of cycles increases,the attenuation band gradually approaches the band gap.When the ratio of the length and thickness of each component in the finite periodic structure beam is constant,the starting frequency and the cutoff frequency of the attenuation band are inversely proportional to the cell length and proportional to the cell thickness.更多还原