ANALYTICAL METHOD FOR DERIVING EQUILIBRIUM DIFFERENTIAL EQUATIONS AND GEOMETRIC EQUATIONS OF ELASTICITY IN POLAR COORDINATES

According to the transformation of the partial differential operator in rectangular and polar coordinates, the coordinate transformations of the stress and strain components, and the basis vector transformation matrix, an analytical method for deriving equilibrium differential equations and geometric equations in polar coordinates is proposed. No drawing is needed, the equations in polar coordinates can be directly derived from the equilibrium differential equations and geometric equations in rectangular coordinates, and the teaching content of elasticity course is enriched.