This paper studies torsional vibration of carbon nanotubes/nanorods embedded in an elastic medium under thermal stresses. Nonlocal theory is applied to the nanorod equations. The thermal stresses act in axial and other directions, and their amounts vary as temperature changes. The elastic medium is modeled as a rotational spring around the nanorod. Hamilton’s principle is used to obtain motion equation. Rayleigh–Ritz method is used to solve the differential equation of motion. Effect of nonlocal scale coefficient, low and high temperatures, elastic medium stiffness, and nanorod diameter and length is investigated. Influence of temperature on the frequencies depends on the values of stiffness of elastic medium, and nanotube diameter and length.

本文研究了在热应力作用下嵌入弹性介质中的碳纳米管/纳米棒的扭转振动。非局部理论被应用于纳米棒方程。热应力沿轴向和其他方向作用，并且它们的量随温度变化而变化。弹性介质被建模为围绕纳米棒的旋转弹簧。汉密尔顿原理用于获得运动方程。Rayleigh–Ritz方法用于求解运动的微分方程。研究了非局部比例系数，低温和高温，弹性介质刚度以及纳米棒直径和长度的影响。温度对频率的影响取决于弹性介质的刚度值以及纳米管的直径和长度。