In the current research, a comprehensive wave propagation analysis is performed on rotating viscoelastic nanobeams resting on Winkler-Pasternak foundations under thermal effects. Here, a novel non-classical mechanical model is developed to describe accurate wave propagation behavior for viscoelastic nanobeams. Employing nonlocal Eringen’s theory along with modified couple stress theory, our proposed model, for the first time, simultaneously takes into account particle interactions and size dependency effects in nanobeams during wave propagation. To capture both hardening and softening behaviors of materials during wave propagation, nonlocal Eringen’s theory and modified couple stress theories are merged. As a higher-order shear deformation theory, Reddy’s beam theory (RBT) is adopted to develop motion equations for nanobeams, which are then analytically solved to obtain numerical results. The results are illustrated for all torsional (TO), transverse (TA) and longitudinal (LA) wave propagation patterns are comprehensively discussed in detail. Finally, the effects of nonlocal parameter to length scale ratios, Winkler-Pasternak coefficients, thermal gradient, slenderness ratios and rotating velocity of viscoelastic nanobeam are investigated and discussed.

在当前的研究中，在热效应作用下，对搁置在Winkler-Pasternak基础上的旋转粘弹性纳米束进行了全面的波传播分析。在这里，开发了一种新颖的非经典力学模型来描述粘弹性纳米束的精确波传播行为。我们的模型首次使用非局部Eringen理论和改进的耦合应力理论，同时考虑了纳米粒子在波传播过程中的粒子相互作用和尺寸依赖性效应。为了捕获材料在波传播过程中的硬化和软化行为，将非局部Eringen理论和改进的耦合应力理论进行了合并。作为高阶剪切变形理论，采用Reddy束理论（RBT）来开发纳米束的运动方程，然后对其进行解析求解以获得数值结果。对所有扭转波（TO），横向波（TA）和纵向波（LA）传播模式的结果进行了详细说明。最后，研究并讨论了非局部参数对长度比例，Winkler-Pasternak系数，热梯度，细长比和粘弹性纳米束的旋转速度的影响。