Magneto-Thermo-Elastic Stresses Induced by a Transient Magnetic Field in a Conducting Hollow Circular Cylinder
Magneto-Thermo-Elastic Stresses Induced by a Transient Magnetic Field in a Conducting Hollow Circular Cylinder
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DOI：
10.1080/01495739.2010.482354
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发表时间：
2010-07
影响因子：
2.8
通讯作者：
M. Higuchi;Ryuusuke Kawamura;Y. Tanigawa;T. Adachi
中科院分区：
文献类型：
--
作者：
M. Higuchi;Ryuusuke Kawamura;Y. Tanigawa;T. Adachi
研究了瞬态磁场作用下空心圆柱体中磁热弹性应力的动态和准静态行为。在空心圆柱体的外表面上作用一个由任意时间函数定义的瞬态磁场，建立了平面轴对称电磁场、温度场和弹性场的基本方程，导出了磁场、涡流、温度变化的解析解以及应力和变形的动态解和准静态解。应力解被确定为由涡流损耗引起的热应力分量和由洛伦兹力引起的磁应力分量的总和。特别是检查的情况下，由一个平滑的斜坡函数与正弦函数的轮廓定义的磁场，并数值计算的应力和变形的动态和准静态行为。
We investigate the dynamic and quasi-static behavior of magneto-thermo-elastic stresses induced by a transient magnetic field in a conducting hollow circular cylinder. A transient magnetic field defined by an arbitrary function of time acts on the outer surface of the hollow cylinder and parallel to it. The fundamental equations of plane axisymmetrical electromagnetic, temperature and elastic fields are formulated, and solutions for the magnetic field, eddy current, temperature change and dynamic and quasi-static solutions for stresses and deformations are analytically derived in terms of the arbitrary function. The stress solutions are determined to be sums of a thermal stress component caused by eddy current loss and a magnetic stress component caused by the Lorentz force. The case of a magnetic field defined by a smoothed ramp function with a sine-function profile is examined in particular, and the dynamic and quasi-static behavior of the stresses and deformations are numerically calculated.