curvilinear coordinates

(redirected from Curvilinear coordinate system)

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 ?
9] developed 3D set of field equations of FGM thick shells of revolution in curvilinear coordinate system by tensor calculus.
Set of field equations for thick shell of revolution made of functionally graded materials in curvilinear coordinate system, Mechanika 77(3): 18-26.
A simple geometric observation model and computations can be used in such a space, but application of such polar observations in a space of the global geographical coordinate system is complicated, because we come into collision with the curvilinear coordinate system related to the surface of an ellipsoid.
dagger]) For instance, in flat spacetime one can introduce a curvilinear coordinate system of coordinates, like the use of polar coordinates in the plane and spherical coordinates in [R.
Using tensor analysis, which is extremely useful especially for three-dimensional problems in any curvilinear coordinate system, a number of researchers, including Fung [4], Green and Zerna [5] have developed the general theory of elasticity.
Coverage progresses from the algebra of vectors and vector functions of one variable, through integral theorems and orthogonal curvilinear coordinate systems.