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Mechanical and thermal couplings in helical strands*

机译:螺旋线的机械和热力联轴器*

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摘要

A generalized Timoshenko rod model is developed for helical strands and helically reinforced cylinders. The thermomechanical constitutive law has five effective elastic moduli, and two thermal coefficients, which can be obtained with the finite element method, or partly from analytic solutions. The model predicts nonclassical bending and thermoelastic behavior of helical strands. First, bending-shearing coupling is explicitly captured, which leads to non-planar bending under a transverse shear force, or a bending moment. Second, torsion and thermal expansion are coupled due to structural chirality. The dispersion relation of harmonic thermoelastic waves is governed by four non-dimensional parameters: two thermoelastic coupling constants, one chirality parameter and the Fourier number. The quasi-longitudinal and the quasi-torsional waves ("quasi" meaning the longitudinal mode is always coupled with a small torsional motion, and vice versa, due to chirality) are dispersive and damped, and dependent on temperature. The adiabatic-isothermal transition of the wave propagation is determined by the Fourier number.
机译:针对螺旋线和螺旋增强圆柱体,开发了通用的Timoshenko杆模型。热力学本构定律具有五个有效弹性模量和两个热系数,这可以通过有限元法或部分地通过解析解获得。该模型预测螺旋线的非经典弯曲和热弹性行为。首先,明确捕获弯曲-剪切耦合,这导致在横向剪切力或弯曲力矩下发生非平面弯曲。第二,由于结构手性,扭转和热膨胀是耦合的。谐波热弹性波的色散关系由四个无量纲参数控制:两个热弹性耦合常数,一个手性参数和傅立叶数。准纵向波和准扭转波(“准”表示纵向模式始终伴随着较小的扭转运动,而由于手性,反之亦然)是分散和阻尼的,并且取决于温度。波传播的绝热-等温转变由傅立叶数确定。

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