E.11 Advanced Constraints

To verify the spring constraint, as shown in the figure, a spring was connected to the free end of a cantilever both as an element and as a constraint, and the solutions were compared.

Figure E.11.1 Analysis Model

Table E.11.1 Static Analysis Results : End

Without spring	With spring
	By Spring Element	By Spring Constraint	By EarthSpring Constraint
198.33	39.9117	39.9117	39.9117

Table E.11.2 Comparisons of natural frequencies

Without spring	With spring
	By Spring Element	By Spring Cosntraint	By EarthSpring Constraint
0.0951002 0.269454 0.59355 1.57558 1.62146 1.65197 3.21012 4.17111 4.28854 4.74205	0.35565 0.56388 0.84119 1.70113 1.70698 1.74593 3.25484 4.17111 4.31754 4.78775	0.35565 0.56388 0.84119 1.70113 1.70698 1.74593 3.25484 4.17111 4.31754 4.78775	0.35565 0.56388 0.84119 1.70113 1.70698 1.74593 3.25484 4.17111 4.31754 4.78775

Figure E.11.2 Connect nodes using Rigid Link or Spring

Figure E.11.3 Connect nodes formed by Embedded Constraint using Rigid Link or Spring

Table E.11.3 Static Analysis Results

Without Segments	Three-Segments
	RigidLink	Spring	Embedded+RigidLink	Embedded+Spring
3.37928e-05	3.05851e-05	3.05852e-05	3.05851e-05	3.05852e-05

Table E.11.4 Frequency Analysis Results (Natural Frequencies in Order)

Without Segments	Three-Segments
	RigidLink	Spring	Embedded+RigidLink	Embedded+Spring
40.8517 54.0611 153.508 156.798	43.6544 57.3514 160.169 163.263	43.6544 57.3513 160.169 163.262	43.6544 57.3484 160.079 163.263	43.6543 57.3481 160.078 163.262