近日，南京航空航天大学的王立峰及其研究团队取得一项新进展。经过不懈努力，他们对基于正交各向异性圆柱壳模型的黑磷纳米管振动进行研究。相关研究成果已于2024年3月18日在国际知名学术期刊《理论与应用力学快报》上发表。

近日，黑磷纳米管(BPNTs)具有良好的性能和应用前景。确定BPNTs的振动特性对于深入了解BPNTs的力学行为和设计优化的纳米器件至关重要。本文采用正交各向异性圆柱壳模型和分子动力学(MD)模拟方法，研究了BPNTs的力学性能和振动特性。研究人员系统地分析了两种手性BPNTs的振动频率。MD计算结果表明，两种尺寸近似相等的BPNTs在各阶上的固有频率不相等，且扶手椅型BPNTs的固有频率高于之字形BPNTs的固有频率。

此外，研究人员以结构稳定的扶手椅型BPNTs为研究对象，分析了不同尺寸BPNTs的振动频率。结果表明，各向同性圆柱壳模型和正交各向异性圆柱壳模型，都能较好地预测长BPNTs低阶模态的热振动。然而，对于较短较薄的BPNTs，正交各向异性圆柱壳模型的预测结果明显优于各向同性壳模型，从而进一步证明了考虑正交各向异性的BPNTs壳模型的有效性。

附：英文原文

Title: Vibration of Black Phosphorus Nanotubes via Orthotropic Cylindrical Shell Model

Author: Minglei HE, Lifeng WANG

Issue&Volume: 2024-03-18

Abstract: Black phosphorus nanotubes (BPNTs) may have good properties and potential applications. Determining the vibration property of BPNTs is essential for gaining insight into the mechanical behaviour of BPNTs and designing optimized nanodevices. In this paper, the mechanical behaviour and vibration property of BPNTs are studied via orthotropic cylindrical shell model and molecular dynamics (MD) simulation. The vibration frequencies of two chiral BPNTs are analysed systematically. According to the results of MD calculations, it is revealed that the natural frequencies of two BPNTs with approximately equal sizes are unequal at each order, and that the natural frequencies of armchair BPNTs are higher than those of zigzag BPNTs. In addition, an armchair BPNTs with a stable structure is considered as the object of research, and the vibration frequencies of BPNTs of different sizes are analysed. When comparing the MD results, it is found that both the isotropic cylindrical shell model and orthotropic cylindrical shell model can better predict the thermal vibration of the lower order modes of the longer BPNTs better. However, for the vibration of shorter and thinner BPNTs, the prediction of the orthotropic cylindrical shell model is obviously superior to the isotropic shell model, thereby further proving the validity of the shell model that considers orthotropic for BPNTs.

DOI: 10.1016/j.taml.2024.100513

Source: http://taml.cstam.org.cn/article/doi/10.1016/j.taml.2024.100513?pageType=en