Spring Foundation
Use the Spring Foundation node to apply elastic and damping boundary conditions for domains, boundaries, edges, and points.
By adding the Predeformation subnode, you can prescribe that the spring force is zero at a non-zero spring extension.
The Spring Foundation and Thin Elastic Layer nodes are similar, with the difference that a Spring Foundation connects the structural part on which it is acting to a fixed “ground”, while a Thin Elastic Layer acts between two parts, either on an interior boundary or between two boundaries forming a pair.
The Spring Foundation node is only available with some COMSOL products (see http://www.comsol.com/products/specifications/).
Coordinate System Selection
The spring and damping constants are given with respect to the selected coordinate system.
Spring
Select the Spring type and its associated spring constant or force using Table 4-5 as a guide. The default option is the spring type for the type of geometric entity and space dimension, and there are different combinations available based on this.
When the option is of the type ‘force as function of extension’, then the built-in variables describing the spring extension must be used in the expression as described in Springs and Dampers. The spring matrix can be entered as Isotropic, Diagonal, Symmetric, or Anisotropic. For Isotropic the same spring constant is used in all the diagonal elements of the spring matrix.
When Use material data is selected as Spring type, the spring stiffness values are computed from the given material data and a layer thickness. From the Specify list, select a pair of elastic properties — Young’s modulus and Poisson’s ratio, Young’s modulus and shear modulus, or Bulk modulus and shear modulus. Each of these pairs define the elastic properties and it is possible to convert from one set of properties to another according to Table 4-6. For the chosen properties, select from the applicable list to use the value From material or enter a User defined value or expression. In order to use From material, you must have assigned a material to the selected boundaries.
Enter a Layer thickness, ds, to specify the physical thickness of the elastic layer.
kV
N/(mm3)
ktot
kA
N/(mm)2
kL
N/(mm)
kP
FV
Ftot
FA
FL
FP
D(E,ν)
D(E,G)
D(K,G)
E =
ν =
K =
G =
Rotational Spring
This section is available for the Beam interface. All settings in the Rotational Spring section are analogous to the corresponding settings in the Spring section, but with forces replaced by moments and displacements replaced by rotations.
Loss Factor Damping
From the Loss factor type list, select Scalar (Same for all components) or Individual components.
For Scalar (Same for all components) enter a single Loss factor for spring ηs which is used to multiply all values of the spring matrix or spring force vector.
For Individual components select Isotropic, Diagonal, Symmetric, or Anisotropic, then enter values or expressions in the table for the Loss factor for spring ηk or ηf based on space dimension. The loss factors act on the corresponding components of the spring matrix or spring force vector. If you select Isotropic, the effect is the same as when you selecting Diagonal and enter the same value for all diagonal elements.
Rotational Loss Factor Damping
This section is available for the Beam interface. All settings in the Rotational Loss Factor Damping section are analogous to the corresponding settings in the Loss Factor section.
Viscous Damping
Select the Damping type using Table 4-7 as a guide. The default option is the default damping type for the type of geometric entity and space dimension, and there are different combinations available based on this. The damping matrix can be entered as Isotropic, Diagonal, Symmetric, or Anisotropic. For Isotropic the same viscous constant is used in all the diagonal elements of the damping matrix
dV
Ns/(mm3)
dA
Ns/(mm2)
dtot
Ns/m
dL
Ns/(mm)
Rotational Viscous Damping
This section is available for the Beam interface. All settings in the Rotational Viscous Damping section are analogous to the corresponding settings in the Viscous Damping section, but with forces replaced by moments and velocities replaced by angular velocities.
Location in User Interface
Context Menus
Solid Mechanics>Mass, Spring, and Damper>Spring Foundation (Domain, Boundary)
Solid Mechanics>Edges>Spring Foundation
Solid Mechanics>Points>Spring Foundation
Shell>Mass, Spring, and Damper>Spring Foundation
(Boundary, Edge)
Shell>Points>Spring Foundation
Plate>Mass, Spring, and Damper>Spring Foundation
(Domain, Boundary)
Plate>Points>Spring Foundation
Membrane>Mass, Spring, and Damper>Spring Foundation
(Boundary, Edge)
Membrane>Points>Spring Foundation
Beam>Mass, Spring, and Damper>Spring Foundation
Truss>Mass, Spring, and Damper>Spring Foundation
Multibody Dynamics>Mass, Spring, and Damper>Spring Foundation
(Domain)
Multibody Dynamics>Spring Foundation (Boundary)
Multibody Dynamics>Edges>Spring Foundation
Multibody Dynamics>Points>Spring Foundation
Ribbon
Physics tab with Solid Mechanics selected:
Domains>Mass, Spring, and Damper>Spring Foundation
Boundaries>Mass, Spring, and Damper>Spring Foundation
Edges>Solid Mechanics>Spring Foundation
Points>Solid Mechanics>Spring Foundation
Physics tab with Shell or Membrane selected:
Boundaries>Mass, Spring, and Damper>Spring Foundation
Edges>Mass, Spring, and Damper>Spring Foundation
Points>Shell>Spring Foundation
Points>Membrane>Spring Foundation
Physics tab with Plate selected:
Domains>Mass, Spring, and Damper>Spring Foundation
Boundaries>Mass, Spring, and Damper>Spring Foundation
Points>Plate>Spring Foundation
Physics tab with Beam or Truss selected:
Edges>Mass, Spring, and Damper>Spring Foundation
Points>Mass, Spring, and Damper>Spring Foundation
Physics tab with Multibody Dynamics selected:
Domains>Mass, Spring, and Damper>Spring Foundation
Boundaries>Multibody Dynamics>Spring Foundation
Edges>Multibody Dynamics>Spring Foundation
Points>Multibody Dynamics>Spring Foundation