The elastic parameters and the coefficient of thermal expansion (CTE) of nanomaterials change with temperature. If the elastic modulus, the CTE, and the longitudinal linear temperature gradient are coupled, the longitudinal symmetry of the mechanical properties of nanobeams is broken. However, researchers have not yet to examine how this symmetry breaking affects the mechanical properties of nanobeams. This paper provides a new analysis of the modified thermoelastic beam model established by the nonlocal stress gradient theory. The present analysis incorporates the coupling of the longitudinal linear temperature gradient, elastic modulus, thermal expansion, and scale effect. Afterward, we apply the Galerkin method to explore the buckling, post-buckling, and transverse bending of a single-walled carbon nanotube (SWCNT). The results show that the linear temperature gradient induces the breaking of the nanobeam's longitudinal symmetry and then results in the coupling of the symmetrical and antisymmetrical weight functions of the deformations. While the linear temperature gradient marginally affects the symmetry of nanobeams, it significantly raises the buckling temperature and introduces the complexity of the post-buckling and transverse force bending. In addition, the integration of the linear longitudinal temperature gradient, elastic modulus, and nonlocal effect more significantly affects nanobeams' mechanical properties than individual factors.
—Multi-mover motors are widely used in logistics transportation systems. However, the unique number of movers and variations in motion states complicate the distribution of loss and thermal characteristics, thereby increasing the difficulty of calculating temperature rise. In this paper, a winding loss calculation method that considers the multi-condition and dynamic characteristics of multi-mover motors is proposed. The convective heat transfer coefficient (CHTC) is calculated using computational fluid dynamics (CFD) and response surface methodology (RSM), with a detailed analysis of velocity distribution characteristics. The interactive effects of mover speed, acceleration, mover quantity, and the distance between adjacent movers on the CHTC are investigated. A simplified yet accurate thermal modeling is developed, reducing the required time for a single operating condition from 4 h to 0.5 h, with an error of only 4 %. Through both single variable and multivariable analyses, the thermal characteristics of multi-mover motors under different conditions are revealed. Finally, a prototype is created and tested under various operating conditions. The discrepancies between the experimental and calculated values are within 5 %, validating the accuracy of the proposed model and analysis.