From 1e1db776bf65429557048519df2d1a19429f4a0a Mon Sep 17 00:00:00 2001 From: "Mark D. Denavit" Date: Tue, 29 Sep 2026 10:55:24 -0400 Subject: [PATCH 1/2] Add documentation for FrictionSpringDamper material --- .../user/manual/material/uniaxialMaterial.rst | 1 + .../FrictionSpringDamper.rst | 104 ++++++++++++++++++ .../figures/FrictionSpringDamper.png | Bin 0 -> 116036 bytes 3 files changed, 105 insertions(+) create mode 100644 source/user/manual/material/uniaxialMaterials/FrictionSpringDamper.rst create mode 100644 source/user/manual/material/uniaxialMaterials/figures/FrictionSpringDamper.png diff --git a/source/user/manual/material/uniaxialMaterial.rst b/source/user/manual/material/uniaxialMaterial.rst index 6e3e8645..d1332db6 100644 --- a/source/user/manual/material/uniaxialMaterial.rst +++ b/source/user/manual/material/uniaxialMaterial.rst @@ -121,6 +121,7 @@ The following subsections contain information about **$matType** uniaxialMaterials/JankowskiImpact uniaxialMaterials/ViscoelasticGap uniaxialMaterials/Ratchet + uniaxialMaterials/FrictionSpringDamper .. uniaxialMaterials/CastFuse .. uniaxialMaterials/ViscousDamper diff --git a/source/user/manual/material/uniaxialMaterials/FrictionSpringDamper.rst b/source/user/manual/material/uniaxialMaterials/FrictionSpringDamper.rst new file mode 100644 index 00000000..9abe217a --- /dev/null +++ b/source/user/manual/material/uniaxialMaterials/FrictionSpringDamper.rst @@ -0,0 +1,104 @@ +# FrictionSpringDamper Material + +This command is used to construct a FrictionSpringDamper uniaxial material object. The material models the force-deformation response of a self-centering friction spring damper. The model is based on the behavior described by Wang et al. (2019) in series with an elastic stiffness. + +.. figure:: figures/FrictionSpringDamper.png +:align: center +:figclass: align-center +:width: 70% + +Force-deformation response of the FrictionSpringDamper material. + +.. function:: uniaxialMaterial FrictionSpringDamper $matTag $Ke $K $Kp $preload <-initialStrain $initStrain> + +.. list-table:: +:header-rows: 1 +:widths: 15 15 70 + +* * Parameter + * Type + * Description +* * `$matTag` + * integer + * Integer tag identifying the material. +* * `$Ke` + * float + * Elastic stiffness, as shown in the figure above. +* * `$K` + * float + * Loading stiffness, as shown in the figure above. +* * `$Kp` + * float + * Unloading stiffness, as shown in the figure above. +* * `$preload` + * float + * Preload, as shown in the figure above. +* * `$initStrain` + * float + * Optional initial strain. The default value is 0.0. + +The effective secondary tangent stiffness during loading is + +.. math:: + +K_{eq,1} = \left(\frac{1}{K_e}+\frac{1}{K}\right)^{-1}, + +and the effective tangent stiffness during unloading is + +.. math:: + +K_{eq,2} = \left(\frac{1}{K_e}+\frac{1}{K_p}\right)^{-1}. + +The force associated with the transition during unloading and reloading is + +.. math:: + +F_2 = F_{preload}\frac{K_p}{K}, + +where :math:`F_{preload}` is the specified `$preload`. + +The optional `-initialStrain` argument shifts the strain supplied to the constitutive model such that + +.. math:: + +\epsilon = \epsilon_{applied} + \epsilon_{initial}. + +Thus, a nonzero initial strain can result in a nonzero initial force. + +## Example + +The following example creates a FrictionSpringDamper material with a tag of 1, elastic stiffness of 1000, loading stiffness of 200, unloading stiffness of 100, and preload of 50. + +**Tcl Code** + +.. code-block:: tcl + +uniaxialMaterial FrictionSpringDamper 1 1000.0 200.0 100.0 50.0 + +**Python Code** + +.. code-block:: python + +ops.uniaxialMaterial('FrictionSpringDamper', 1, 1000.0, 200.0, 100.0, 50.0) + +An initial strain can optionally be specified. + +**Tcl Code** + +.. code-block:: tcl + +uniaxialMaterial FrictionSpringDamper 1 1000.0 200.0 100.0 50.0 -initialStrain 0.01 + +**Python Code** + +.. code-block:: python + +ops.uniaxialMaterial('FrictionSpringDamper', 1, 1000.0, 200.0, 100.0, 50.0, '-initialStrain', 0.01) + +## References + +Wang, W., Fang, C., Zhao, Y., Sause, R., Hu, S., and Ricles, J. (2019). +"Self-centering friction spring dampers for seismic resilience." +*Earthquake Engineering & Structural Dynamics*, 48(9), 1045-1065. + +Code Developed by: Mark D. 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Denavit" Date: Tue, 29 Sep 2026 11:55:47 -0400 Subject: [PATCH 2/2] Formatting corrections --- .../FrictionSpringDamper.rst | 108 +++++++++--------- 1 file changed, 55 insertions(+), 53 deletions(-) diff --git a/source/user/manual/material/uniaxialMaterials/FrictionSpringDamper.rst b/source/user/manual/material/uniaxialMaterials/FrictionSpringDamper.rst index 9abe217a..762384ce 100644 --- a/source/user/manual/material/uniaxialMaterials/FrictionSpringDamper.rst +++ b/source/user/manual/material/uniaxialMaterials/FrictionSpringDamper.rst @@ -1,59 +1,60 @@ -# FrictionSpringDamper Material +FrictionSpringDamper Material +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ This command is used to construct a FrictionSpringDamper uniaxial material object. The material models the force-deformation response of a self-centering friction spring damper. The model is based on the behavior described by Wang et al. (2019) in series with an elastic stiffness. -.. figure:: figures/FrictionSpringDamper.png -:align: center -:figclass: align-center -:width: 70% - -Force-deformation response of the FrictionSpringDamper material. - .. function:: uniaxialMaterial FrictionSpringDamper $matTag $Ke $K $Kp $preload <-initialStrain $initStrain> .. list-table:: -:header-rows: 1 -:widths: 15 15 70 - -* * Parameter - * Type - * Description -* * `$matTag` - * integer - * Integer tag identifying the material. -* * `$Ke` - * float - * Elastic stiffness, as shown in the figure above. -* * `$K` - * float - * Loading stiffness, as shown in the figure above. -* * `$Kp` - * float - * Unloading stiffness, as shown in the figure above. -* * `$preload` - * float - * Preload, as shown in the figure above. -* * `$initStrain` - * float - * Optional initial strain. The default value is 0.0. + :header-rows: 1 + :widths: 15 15 70 + + * * Parameter + * Type + * Description + * * `$matTag` + * integer + * Integer tag identifying the material. + * * `$Ke` + * float + * Elastic stiffness, as shown in the figure above. + * * `$K` + * float + * Loading stiffness, as shown in the figure above. + * * `$Kp` + * float + * Unloading stiffness, as shown in the figure above. + * * `$preload` + * float + * Preload, as shown in the figure above. + * * `$initStrain` + * float + * Optional initial strain. The default value is 0.0. + +.. figure:: figures/FrictionSpringDamper.png + :align: center + :figclass: align-center + :width: 70% + + Force-deformation response of the FrictionSpringDamper material. The effective secondary tangent stiffness during loading is .. math:: -K_{eq,1} = \left(\frac{1}{K_e}+\frac{1}{K}\right)^{-1}, + K_{eq1} = \left(\frac{1}{K_e}+\frac{1}{K}\right)^{-1} and the effective tangent stiffness during unloading is .. math:: -K_{eq,2} = \left(\frac{1}{K_e}+\frac{1}{K_p}\right)^{-1}. + K_{eq2} = \left(\frac{1}{K_e}+\frac{1}{K_p}\right)^{-1} The force associated with the transition during unloading and reloading is .. math:: -F_2 = F_{preload}\frac{K_p}{K}, + F_2 = F_{preload}\frac{K_p}{K} where :math:`F_{preload}` is the specified `$preload`. @@ -61,44 +62,45 @@ The optional `-initialStrain` argument shifts the strain supplied to the constit .. math:: -\epsilon = \epsilon_{applied} + \epsilon_{initial}. + \epsilon = \epsilon_{applied} + \epsilon_{initial} Thus, a nonzero initial strain can result in a nonzero initial force. -## Example +.. admonition:: Example -The following example creates a FrictionSpringDamper material with a tag of 1, elastic stiffness of 1000, loading stiffness of 200, unloading stiffness of 100, and preload of 50. + The following example creates a FrictionSpringDamper material with a tag of 1, elastic stiffness of 1000, loading stiffness of 200, unloading stiffness of 100, and preload of 50. -**Tcl Code** + **Tcl Code** -.. code-block:: tcl + .. code-block:: tcl -uniaxialMaterial FrictionSpringDamper 1 1000.0 200.0 100.0 50.0 + uniaxialMaterial FrictionSpringDamper 1 1000.0 200.0 100.0 50.0 -**Python Code** + **Python Code** -.. code-block:: python + .. code-block:: python -ops.uniaxialMaterial('FrictionSpringDamper', 1, 1000.0, 200.0, 100.0, 50.0) + ops.uniaxialMaterial('FrictionSpringDamper', 1, 1000.0, 200.0, 100.0, 50.0) -An initial strain can optionally be specified. + An initial strain can optionally be specified. -**Tcl Code** + **Tcl Code** -.. code-block:: tcl + .. code-block:: tcl -uniaxialMaterial FrictionSpringDamper 1 1000.0 200.0 100.0 50.0 -initialStrain 0.01 + uniaxialMaterial FrictionSpringDamper 1 1000.0 200.0 100.0 50.0 -initialStrain 0.01 -**Python Code** + **Python Code** -.. code-block:: python + .. code-block:: python -ops.uniaxialMaterial('FrictionSpringDamper', 1, 1000.0, 200.0, 100.0, 50.0, '-initialStrain', 0.01) + ops.uniaxialMaterial('FrictionSpringDamper', 1, 1000.0, 200.0, 100.0, 50.0, '-initialStrain', 0.01) -## References +References: Wang, W., Fang, C., Zhao, Y., Sause, R., Hu, S., and Ricles, J. (2019). "Self-centering friction spring dampers for seismic resilience." -*Earthquake Engineering & Structural Dynamics*, 48(9), 1045-1065. +*Earthquake Engineering & Structural Dynamics*, 48(9), 1045-1065. +https://doi.org/10.1002/eqe.3174 Code Developed by: Mark D. Denavit, University of Tennessee, Knoxville