摘要
文章举例阐述了广义坐标变换在力学和电磁学中的一些应用.应用广义极坐标变换和广义球坐标变换计算线椭圆环、椭圆盘和椭球刚体对任意轴的转动惯量;应用电多极展开的具体形式结合广义坐标变换,计算均匀带电线椭圆环、椭圆盘和椭球在远场处的电势.
Some applications of generalized coordinate transformation in mechanics and electromagnetism are described by examples.Generalized polar coordinate and spherical coordinate transformation are applied to calculate the moment of inertia of a linear elliptic ring,elliptic disc and ellipsoid rigid body to an arbitrary axis.The electric potential in the far field of uniform charged wire,elliptic disc,and ellipsoid body are calculated by applying the specific form of electric multipole expansion combined with the generalized coordinate transformation.
引文
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