The coupled dynamics of a double beam system connected via an elastic layer is investigated. The double beam is reinforced with bidirectional functionally graded carbon nanotubes. Independent transverse and axial motions for each beam, as well as their couplings, are considered in the model. The two interconnected beams are functionally graded with patterns of UD, FGV, FGO, and FGX in the thickness direction, and a power-law function in the longitudinal direction, and a power-law function in both the thickness and longitudinal directions. The results suggested that increasing the carbon nanotube volume fraction in the thickness or length or both the directions of the two beams leads to an increase in both series of the axial and transverse natural frequencies. The study also identifies that when the double beams are reinforced with UD, FGO, or FGX patterns, with the same volume fraction, which are symmetrical about the transverse axis, they possess the same axial natural frequencies. It is also revealed that increasing the stiffness of the elastic layer place in-between the two beams, causes an increase in the second series of the transverse natural frequency, for all cases, whether it is reinforced by carbon nanotube in the thickness or in the length or in both thickness and length directions of the beams. These results will form crucial considerations when designing double beam systems to improve reliability and safety.

研究了通过弹性层连接的双梁系统的耦合动力学。双梁由双向功能梯度碳纳米管加固。模型中考虑了每个梁的独立横向和轴向运动，以及它们的联轴器。两个相互连接的梁在厚度方向上具有 UD、FGV、FGO 和 FGX 模式，在纵向上具有幂律函数，在厚度和纵向方向上都具有幂律函数。结果表明，在两个梁的厚度或长度或两个方向上增加碳纳米管的体积分数会导致轴向和横向固有频率系列的增加。该研究还确定，当双梁采用 UD、FGO、或 FGX 模式，具有相同的体积分数，关于横轴对称，它们具有相同的轴向固有频率。还表明，增加两个梁之间的弹性层的刚度，会导致第二系列横向固有频率的增加，对于所有情况，无论是在厚度上用碳纳米管增强还是在长度或梁的厚度和长度方向。在设计双光束系统以提高可靠性和安全性时，这些结果将成为重要的考虑因素。导致第二系列横向固有频率的增加，对于所有情况，无论是在梁的厚度或长度上或在梁的厚度和长度方向上都由碳纳米管增强。在设计双光束系统以提高可靠性和安全性时，这些结果将成为重要的考虑因素。导致第二系列横向固有频率的增加，对于所有情况，无论是在梁的厚度或长度上或在梁的厚度和长度方向上都由碳纳米管增强。在设计双光束系统以提高可靠性和安全性时，这些结果将成为重要的考虑因素。