can you explain the concept of GLOBAL, LOCAL, NATURAL CO-ORDINATE SYSTEM in finite element analysis?

Question

can you explain the concept of GLOBAL, LOCAL, NATURAL CO-ORDINATE SYSTEM in finite element analysis?

Answer 1

The Global coordinate system (CS) is just that, the basic coordinate system for the construction of the model and to which all other CS's are referenced to. A Local CS can reference another Local CS or the Global CS. Local CS's are used to orient submodels relative to the Global CS or can be used to specify direction dependent material properties to a group of elements.



I'm not familiar with the term Natural CS, but would assume that fundamental CS for each element type that is used to transform element properties to the Global CS when assembling global stiffness or mass matrices.

Answer 2

All of those refer to ways of marking the space the object occupies.



In Global, there is a global reference point (0,0,0) and if you move the object, all of the points in the object move.



In Local, the reference point is on the object and all of the points on the object are relative to the local reference. For example, think of a square. If the square is 2 by 2 and the center of the square is 0,0 (yes, I am doing this in 2D space), then each corner of the square in local would be -1,-1 -1,1 1,-1 1,1



The term Natural refers to a coordinate system that is more appropriate to the object. For example, a sphere would have a latitude/longitude system as it natural surface coordinate system

Answer 3

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