174
Appendix C: Normalization
Table C.2 Coefficients for the normalized strains
Sphere
Cylinder
Plate
General
s 1 = =g 1
R
R + Θ 3
1
1
g 11
s 2 = =g 2
1
(R + Θ 3 ) sin
Θ 1
R
1
R + Θ 3
1
g 22
C.2 Physical Components of the Displacements
The relations between the original and normalized components of the displacement
vector in the three defined curvilinear coordinate systems are shown in Table C.3,
with the general coefficients in Table C.4.
Appendix C: Normalization
Table C.2 Coefficients for the normalized strains
Sphere
Cylinder
Plate
General
s 1 = =g 1
R
R + Θ 3
1
1
g 11
s 2 = =g 2
1
(R + Θ 3 ) sin
Θ 1
R
1
R + Θ 3
1
g 22
C.2 Physical Components of the Displacements
The relations between the original and normalized components of the displacement
vector in the three defined curvilinear coordinate systems are shown in Table C.3,
with the general coefficients in Table C.4.