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首页> 外文期刊>Journal of thermal stresses >Pretwisted beam subjected to thermal loads: A gradient thermoelastic analogue
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Pretwisted beam subjected to thermal loads: A gradient thermoelastic analogue

机译:预热梁承受热载荷:梯度热弹性模拟

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摘要

It is well known from the classical torsion theory that the cross section of a prismatic beam subjected to end torsional moments will rotate and warp in the longitudinal direction. Rotation is depicted through the angle of twist per unit length and depends in general on the position along the length of the beam, while the warping function addresses the longitudinal distortion of the unrotated cross sections. In the present study, we consider a prismatic beam that possesses an initial twist which is constant along its length. A thermal field is present along the beam and its ends are loaded with axial forces and torsional moments. The governing equilibrium equations and the corresponding boundary conditions were obtained using an energy variational statement. A one-dimensional gradient thermoelastic analogue is developed. The advantageous aspect of the present study is that the additional (and peculiar) boundary conditions required by the gradient elasticity theory and the related microstructural lengths, analogous to micromechanical lengths, emerge in a natural way from the geometrical characteristics of the beam cross section and the material properties. We have examined various examples with different cross sections and loads to demonstrate the applicability of the model to the design of special yarns useful in smart textiles and thermally activated microdrilling actuators.
机译:从经典扭转理论中众所周知,受到端部扭转力矩的棱柱形梁的横截面将在纵向方向上旋转和翘曲。旋转是通过每单位长度的扭曲角来表示的,并且通常取决于沿梁长度的位置,而翘曲函数处理的是未旋转横截面的纵向变形。在本研究中,我们考虑具有初始扭曲的棱形光束,该扭曲沿其长度是恒定的。沿梁存在一个热场,梁的端部承受轴向力和扭转力矩。控制平衡方程和相应的边界条件是使用能量变分语句获得的。开发了一维梯度热弹性类似物。本研究的有利方面是,梯度弹性理论和相关的微结构长度(与微机械长度类似)所需的附加(和特殊)边界条件,是自然地从梁横截面的几何特性和应力的变化中产生的。材料特性。我们检查了具有不同横截面和负载的各种示例,以证明该模型对设计用于智能纺织品和热激活微钻执行器的特殊纱线的适用性。

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