curvilinear coordinates


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curvilinear coordinates

[′kər·və′lin·ē·ər kō′ȯrd·ən·əts]
(mathematics)
Any linear coordinates which are not cartesian coordinates; frequently used curvilinear coordinates are polar coordinates and cylindrical coordinates.
References in periodicals archive ?
A distinguishing feature of the present paper is that for a thick shell of revolution with arbitrary curvature and variable thickness made of functionally graded materials, a set of field equations has been developed by tensor analysis in the curvilinear coordinate system.
The Sinc-Galerkin Method for The Poisson Problem in One Type of Curvilinear Coordinate Domain.
This paper shows only the case of the type of curvilinear coordinate domain described above, but the procedure in this section can be applied to other types of coordinate domains if the coefficient functions of the transformed equation can be separated with respect to the variables.
Equation 13 provides an elegant general formulation of the equation of virtual work in curvilinear coordinates.
Sokolnikoff (4) and McConnell (5) developed a generalized Hooke's law in curvilinear coordinates.