Class that stores funcions and material properties of a steel double symmetric I-shape profile with Skiadopoulos 2021 as the material model for the panel zone and the OpenSeesPy command type used to model it is Hysteresis. More...

Inheritance diagram for Skiadopoulos2021:

Public Member Functions
def	__init__ (self, int ID, d_c, bf_c, tf_c, I_c, d_b, tf_b, Fy, E, t_p, t_dp=0.0, a_s=0.03, pinchx=0.25, pinchy=0.75, dmg1=0.0, dmg2=0.0, beta=0.0, safety_factor=False, t_fbp=0)
	Constructor of the class. More...

def	CheckApplicability (self)
	Implementation of the homonym abstract method. More...

def	Hysteretic (self)
	Generate the material model Hysteretic (Skiadopoulos 2021) using the computed parameters. More...

def	ReInit (self)
	Implementation of the homonym abstract method. More...

def	ShowInfo (self, plot=False, block=False)
	Implementation of the homonym abstract method. More...

def	UpdateStoredData (self)
	Implementation of the homonym abstract method. More...

def	CheckApplicability (self)
	Abstract function used to check the applicability of the material model. More...

Public Attributes
	a_s

	beam_section_name_tag

	beta

	bf_c

	Cf1

	Cf4

	Cf6

	col_section_name_tag

	Cw1

	Cw4

	Cw6

	d_b

	d_c

	data

	dmg1

	dmg2

	E

	Fy

	G

	Gamma_1

	Gamma_4

	Gamma_6

	I_c

	ID

	Initialized

	Kb

	Kbf

	Ke

	Kf

	Kf_Ke

	Ks

	Ksf

	M1

	M4

	M6

	pinchx

	pinchy

	Ry

	t_dp

	t_fbp

	t_p

	t_pz

	tf_b

	tf_c

	V1

	V4

	V6

Static Public Attributes
list	Cf1_tests = [0.035, 0.035, 0.033, 0.031, 0.018, 0.015, 0.013, 0.009, 0.009, 0.010, 0.010]

list	Cf4_tests = [0.145, 0.145, 0.123, 0.111, 0.069, 0.040, 0.040, 0.018, 0.010, 0.012, 0.012]

list	Cf6_tests = [0.165, 0.1650, 0.1400, 0.1275, 0.0800, 0.0500, 0.0500, 0.0180, 0.0140, 0.0120, 0.0120]

list	Cw1_tests = [0.96, 0.96, 0.955, 0.94, 0.93, 0.90, 0.89, 0.89, 0.88, 0.88, 0.88]

list	Cw4_tests = [1.145, 1.145, 1.140, 1.133, 1.120, 1.115, 1.115, 1.11, 1.10, 1.10, 1.10]

list	Cw6_tests = [1.205, 1.2050, 1.2000, 1.1925, 1.1740, 1.1730, 1.1720, 1.1690, 1.1670, 1.1650, 1.1650]

list	Kf_Ke_tests = [1.000, 0.153, 0.120, 0.090, 0.059, 0.031, 0.019, 0.009, 0.005, 0.004, 0.000]

Detailed Description

Class that stores funcions and material properties of a steel double symmetric I-shape profile with Skiadopoulos 2021 as the material model for the panel zone and the OpenSeesPy command type used to model it is Hysteresis.

The material model is valid only if the column is continuous. For more information about the empirical model for the computation of the parameters, see Skiadopoulos et Al. 2021. The vectors that forms the matrix used to compute the material model parameters (Kf_Ke_tests, Cw1_tests, Cf1_tests, Cw4_tests, Cf4_tests, Cw6_tests, Cf6_tests) are used as global throughout the class to optimise the program (given the fact that is constant everytime).

Parameters

MaterialModels Parent abstract class.

Definition at line 780 of file MaterialModels.py.

Constructor & Destructor Documentation

◆ init()

def __init__	(		self,
		int	ID,
			d_c,
			bf_c,
			tf_c,
			I_c,
			d_b,
			tf_b,
			Fy,
			E,
			t_p,
			t_dp = `0.0`,
			a_s = `0.03`,
			pinchx = `0.25`,
			pinchy = `0.75`,
			dmg1 = `0.0`,
			dmg2 = `0.0`,
			beta = `0.0`,
			safety_factor = `False`,
			t_fbp = `0`
	)

Constructor of the class.

Parameters

ID	(int): Unique material model ID.
d_c	(float): Column depth.
bf_c	(float): Column flange width.
tf_c	(float): Column flange thickness.
I_c	(float): Column moment of inertia (strong axis).
d_b	(float): Beam depth.
tf_b	(float): Beam flange thickness.
Fy	(float): Yield strength (if assume continous column, Fy of the web).
E	(float): Young modulus.
t_p	(float): Panel zone thickness.
t_dp	(float, optional): Doubler plate thickness. Defaults to 0.0.
a_s	(float, optional): Strain hardening. Defaults to 0.03.
pinchx	(float, optional): Pinching factor for strain (or deformation) during reloading. Defaults to 0.25
pinchy	(float, optional): Pinching factor for stress (or force) during reloading. Defaults to 0.75
dmg1	(float, optional): Damage due to ductility: D1(mu-1). Defaults to 0.0.
dmg2	(float, optional): Damage due to energy: D2(Eii/Eult). Defaults to 0.0.
beta	(float, optional): Power used to determine the degraded unloading stiffness based on ductility, mu-beta. Defaults to 0.0.
safety_factor	(bool, optional): Safety factor used if standard mechanical parameters are used (not test results). Defaults to False.
t_fbp	(float, optional): Thickness of the face bearing plate (if present). Defaults to 0.

Exceptions

NegativeValue	ID needs to be a positive integer.
NegativeValue	d_c needs to be positive.
NegativeValue	bf_c needs to be positive.
NegativeValue	tf_c needs to be positive.
NegativeValue	d_b needs to be positive.
NegativeValue	tf_b needs to be positive.
NegativeValue	Fy needs to be positive.
NegativeValue	E needs to be positive.
NegativeValue	t_p needs to be positive.
NegativeValue	a_s needs to be positive.

Reimplemented in Skiadopoulos2021RCS, and Skiadopoulos2021SteelIShape.

Definition at line 808 of file MaterialModels.py.

        t_dp = 0.0, a_s = 0.03, pinchx = 0.25, pinchy = 0.75, dmg1 = 0.0, dmg2 = 0.0, beta = 0.0, safety_factor = False, t_fbp = 0):
        """
        Constructor of the class.
 
        @param ID (int): Unique material model ID.
        @param d_c (float): Column depth.
        @param bf_c (float): Column flange width.
        @param tf_c (float): Column flange thickness.
        @param I_c (float): Column moment of inertia (strong axis).
        @param d_b (float): Beam depth.
        @param tf_b (float): Beam flange thickness.
        @param Fy (float): Yield strength (if assume continous column, Fy of the web).
        @param E (float): Young modulus.
        @param t_p (float): Panel zone thickness.
        @param t_dp (float, optional): Doubler plate thickness. Defaults to 0.0.
        @param a_s (float, optional): Strain hardening. Defaults to 0.03.
        @param pinchx (float, optional): Pinching factor for strain (or deformation) during reloading. Defaults to 0.25
        @param pinchy (float, optional): Pinching factor for stress (or force) during reloading. Defaults to 0.75
        @param dmg1 (float, optional): Damage due to ductility: D1(mu-1). Defaults to 0.0.
        @param dmg2 (float, optional): Damage due to energy: D2(Eii/Eult). Defaults to 0.0.
        @param beta (float, optional): Power used to determine the degraded unloading stiffness based on ductility, mu-beta. Defaults to 0.0.
        @param safety_factor (bool, optional): Safety factor used if standard mechanical parameters are used (not test results). Defaults to False.
        @param t_fbp (float, optional): Thickness of the face bearing plate (if present). Defaults to 0.
 
        @exception NegativeValue: ID needs to be a positive integer.
        @exception NegativeValue: d_c needs to be positive.
        @exception NegativeValue: bf_c needs to be positive.
        @exception NegativeValue: tf_c needs to be positive.
        @exception NegativeValue: d_b needs to be positive.
        @exception NegativeValue: tf_b needs to be positive.
        @exception NegativeValue: Fy needs to be positive.
        @exception NegativeValue: E needs to be positive.
        @exception NegativeValue: t_p needs to be positive.
        @exception NegativeValue: a_s needs to be positive.
        """
        # Check
        if ID < 1: raise NegativeValue()
        if d_c < 0: raise NegativeValue()
        if bf_c < 0: raise NegativeValue()
        if tf_c < 0: raise NegativeValue()
        if d_b < 0: raise NegativeValue()
        if tf_b < 0: raise NegativeValue()
        if Fy < 0: raise NegativeValue()
        if E < 0: raise NegativeValue()
        if t_p < 0: raise NegativeValue()
        if a_s < 0: raise NegativeValue()
        if t_fbp < 0: raise NegativeValue()
 
        # Arguments
        self.ID = ID
        self.d_c = d_c
        self.bf_c = bf_c
        self.tf_c = tf_c
        self.I_c = I_c
        self.d_b = d_b
        self.tf_b = tf_b
        self.Fy = Fy
        self.E = E
        self.t_p = t_p
        self.t_dp = t_dp
        self.a_s = a_s
        self.pinchx = pinchx
        self.pinchy = pinchy
        self.dmg1 = dmg1
        self.dmg2 = dmg2
        self.beta = beta
        if safety_factor:
            self.Ry = 1.2
        else:
            self.Ry = 1.0
        self.t_fbp = t_fbp
 
        # Initialized the parameters that are dependent from others
        self.beam_section_name_tag = "None"
        self.col_section_name_tag = "None"
        self.Initialized = False
        self.ReInit()
 
 

Member Function Documentation

◆ CheckApplicability()

def CheckApplicability ( self )

Implementation of the homonym abstract method.

See parent class DataManagement for detailed information.

Reimplemented from MaterialModels.

Definition at line 1025 of file MaterialModels.py.

    def CheckApplicability(self):
        """
        Implementation of the homonym abstract method.
        See parent class DataManagement for detailed information.
        """
        Check = True
        # No checks
        if not Check:
            print("The validity of the equations is not fullfilled.")
            print("!!!!!!! WARNING !!!!!!! Check material model of Skiadopoulos 2021, ID=", self.ID)
            print("")
 
 

◆ Hysteretic()

def Hysteretic ( self )

Generate the material model Hysteretic (Skiadopoulos 2021) using the computed parameters.

See _Hysteretic function for more information.

Definition at line 1038 of file MaterialModels.py.

    def Hysteretic(self):
        """
        Generate the material model Hysteretic (Skiadopoulos 2021) using the computed parameters.
        See _Hysteretic function for more information.
        """
        _Hysteretic(self.ID, self.M1, self.Gamma_1, self.M4, self.Gamma_4, self.M6, self.Gamma_6,
            self.pinchx, self.pinchy, self.dmg1, self.dmg2, self.beta)
        self.Initialized = True
        self.UpdateStoredData()
 
 

◆ ReInit()

def ReInit ( self )

Implementation of the homonym abstract method.

See parent class DataManagement for detailed information.

Definition at line 889 of file MaterialModels.py.

    def ReInit(self):
        """
        Implementation of the homonym abstract method.
        See parent class DataManagement for detailed information.
        """
        # Check applicability
        self.CheckApplicability()
 
        # Memebers
        if self.beam_section_name_tag != "None": self.beam_section_name_tag = self.beam_section_name_tag + " (modified)"
        if self.col_section_name_tag != "None": self.col_section_name_tag = self.col_section_name_tag + " (modified)"
        self.t_pz = self.t_p + self.t_dp
        self.G = self.E/(2.0 * (1.0 + 0.30)) # Shear Modulus
 
        # Refined computation of the parameters for the backbone curve for the panel zone spring (Skiadopoulos et al. (2021))
        # Panel Zone Elastic Stiffness
        self.Ks = self.t_pz*(self.d_c-self.tf_c)*self.G
        self.Kb = 12.0*self.E*(self.I_c+self.t_dp*(self.d_c-2.0*self.tf_c)**3/12.0)/(self.d_b-0)**2
        self.Ke = self.Ks*self.Kb/(self.Ks+self.Kb)
 
        # Column Flange Stiffness
        self.Ksf = 2.0*((self.tf_c+self.t_fbp)*self.bf_c*self.G)
        self.Kbf = 2.0*(12.0*self.E*self.bf_c*(self.tf_c**3+self.t_fbp**3)/12.0/(self.d_b-0)**2)
        self.Kf = self.Ksf*self.Kbf/(self.Ksf+self.Kbf)
 
        # Kf/Ke Calculation for Panel Zone Categorization
        self.Kf_Ke = self.Kf/self.Ke
 
        # Panel Zone Strength Coefficients (results from tests for a_w_eff and a_f_eff)
        self.Cw1 = np.interp(self.Kf_Ke, Kf_Ke_tests, Cw1_tests)
        self.Cf1 = np.interp(self.Kf_Ke, Kf_Ke_tests, Cf1_tests)
        self.Cw4 = np.interp(self.Kf_Ke, Kf_Ke_tests, Cw4_tests)
        self.Cf4 = np.interp(self.Kf_Ke, Kf_Ke_tests, Cf4_tests)
        self.Cw6 = np.interp(self.Kf_Ke, Kf_Ke_tests, Cw6_tests)
        self.Cf6 = np.interp(self.Kf_Ke, Kf_Ke_tests, Cf6_tests)
 
        # Panel Zone Model
        self.V1 = self.Fy*self.Ry/math.sqrt(3)*(self.Cw1*(self.d_c-self.tf_c)*self.t_pz + self.Cf1*2*(self.bf_c-self.t_p)*self.tf_c)
        self.V4 = self.Fy*self.Ry/math.sqrt(3)*(self.Cw4*(self.d_c-self.tf_c)*self.t_pz + self.Cf4*2*(self.bf_c-self.t_p)*self.tf_c)
        self.V6 = self.Fy*self.Ry/math.sqrt(3)*(self.Cw6*(self.d_c-self.tf_c)*self.t_pz + self.Cf6*2*(self.bf_c-self.t_p)*self.tf_c)
 
        self.M1 = self.V1*(self.d_b-self.tf_b)
        self.M4 = self.V4*(self.d_b-self.tf_b)
        self.M6 = self.V6*(self.d_b-self.tf_b)
 
        self.Gamma_1 = self.V1/self.Ke
        self.Gamma_4 = 4*self.Gamma_1
        self.Gamma_6 = 6*self.Gamma_1
 
        # Data storage for loading/saving
        self.UpdateStoredData()
 
 

◆ ShowInfo()

def ShowInfo	(	self,
		plot = `False`,
		block = `False`
	)

Implementation of the homonym abstract method.

See parent class DataManagement for detailed information.

Parameters

plot	(bool, optional): Option to show the plot of the material model. Defaults to False.
block	(bool, optional): Option to wait the user command 'plt.show()' (avoiding the stop of the program everytime that a plot should pop up). Defaults to False.

Definition at line 989 of file MaterialModels.py.

    def ShowInfo(self, plot = False, block = False):
        """
        Implementation of the homonym abstract method.
        See parent class DataManagement for detailed information.
        
        @param plot (bool, optional): Option to show the plot of the material model. Defaults to False.
        @param block (bool, optional): Option to wait the user command 'plt.show()' (avoiding the stop of the program everytime that a plot should pop up). Defaults to False.
        """
        print("")
        print("Requested info for Skiadopoulos 2021 material model Parameters, ID = {}".format(self.ID))
        print("Sections associated, column: {} ".format(self.col_section_name_tag))
        print("Sections associated, beam: {} ".format(self.beam_section_name_tag))
        print("Gamma_1 = {} rad".format(self.Gamma_1))
        print("Gamma_4 = {} rad".format(self.Gamma_4))
        print("Gamma_6 = {} rad".format(self.Gamma_6))
        print("M1 = {} kNm".format(self.M1/kNm_unit))
        print("M4 = {} kNm".format(self.M4/kNm_unit))
        print("M6 = {} kNm".format(self.M6/kNm_unit))
        print("")
        
        if plot:
            # Data for plotting
            x_axis = np.array([0.0, self.Gamma_1, self.Gamma_4, self.Gamma_6])
            y_axis = np.array([0.0, self.M1, self.M4, self.M6])/kNm_unit
 
            fig, ax = plt.subplots()
            ax.plot(x_axis, y_axis, 'k-')
 
            ax.set(xlabel='Rotation [rad]', ylabel='Moment [kNm]', 
                title='Skiadopoulos 2021 material model (ID={})'.format(self.ID))
            ax.grid()
 
            if block:
                plt.show()
 
 

◆ UpdateStoredData()

def UpdateStoredData ( self )

Implementation of the homonym abstract method.

See parent class DataManagement for detailed information.

Definition at line 942 of file MaterialModels.py.

    def UpdateStoredData(self):
        """
        Implementation of the homonym abstract method.
        See parent class DataManagement for detailed information.
        """
        self.data = [["INFO_TYPE", "Skiadopoulos2021"], # Tag for differentiating different data
            ["ID", self.ID],
            ["beam_section_name_tag", self.beam_section_name_tag], 
            ["col_section_name_tag", self.col_section_name_tag], 
            ["d_c", self.d_c],
            ["bf_c", self.bf_c],
            ["tf_c", self.tf_c],
            ["I_c", self.I_c],
            ["d_b", self.d_b],
            ["tf_b", self.tf_b],
            ["Fy", self.Fy],
            ["E", self.E],
            ["G", self.G],
            ["t_p", self.t_p],
            ["t_dp", self.t_dp],
            ["t_pz", self.t_pz],
            ["a_s", self.a_s],
            ["pinchx", self.pinchx],
            ["pinchy", self.pinchy],
            ["dmg1", self.dmg1],
            ["dmg2", self.dmg2],
            ["beta", self.beta],
            ["Ry", self.Ry],
            ["Ks", self.Ks],
            ["Kb", self.Kb],
            ["Ke", self.Ke],
            ["Ksf", self.Ksf],
            ["Kbf", self.Kbf],
            ["Kf", self.Kf],
            ["Kf_Ke", self.Kf_Ke],
            ["V1", self.V1],
            ["V4", self.V4],
            ["V6", self.V6],
            ["M1", self.M1],
            ["M4", self.M4],
            ["M6", self.M6],
            ["Gamma_1", self.Gamma_1],
            ["Gamma_4", self.Gamma_4],
            ["Gamma_6", self.Gamma_6],
            ["Initialized", self.Initialized]]
 
 

Member Data Documentation

◆ a_s

a_s

Definition at line 869 of file MaterialModels.py.

◆ beam_section_name_tag

beam_section_name_tag

Definition at line 882 of file MaterialModels.py.

◆ beta

beta

Definition at line 874 of file MaterialModels.py.

◆ bf_c

bf_c

Definition at line 860 of file MaterialModels.py.

◆ Cf1

Cf1

Definition at line 919 of file MaterialModels.py.

◆ Cf1_tests

list Cf1_tests = [0.035, 0.035, 0.033, 0.031, 0.018, 0.015, 0.013, 0.009, 0.009, 0.010, 0.010]

static

Definition at line 797 of file MaterialModels.py.

◆ Cf4

Cf4

Definition at line 921 of file MaterialModels.py.

◆ Cf4_tests

list Cf4_tests = [0.145, 0.145, 0.123, 0.111, 0.069, 0.040, 0.040, 0.018, 0.010, 0.012, 0.012]

static

Definition at line 801 of file MaterialModels.py.

◆ Cf6

Cf6

Definition at line 923 of file MaterialModels.py.

◆ Cf6_tests

list Cf6_tests = [0.165, 0.1650, 0.1400, 0.1275, 0.0800, 0.0500, 0.0500, 0.0180, 0.0140, 0.0120, 0.0120]

static

Definition at line 805 of file MaterialModels.py.

◆ col_section_name_tag

col_section_name_tag

Definition at line 883 of file MaterialModels.py.

◆ Cw1

Cw1

Definition at line 918 of file MaterialModels.py.

◆ Cw1_tests

list Cw1_tests = [0.96, 0.96, 0.955, 0.94, 0.93, 0.90, 0.89, 0.89, 0.88, 0.88, 0.88]

static

Definition at line 795 of file MaterialModels.py.

◆ Cw4

Cw4

Definition at line 920 of file MaterialModels.py.

◆ Cw4_tests

list Cw4_tests = [1.145, 1.145, 1.140, 1.133, 1.120, 1.115, 1.115, 1.11, 1.10, 1.10, 1.10]

static

Definition at line 799 of file MaterialModels.py.

◆ Cw6

Cw6

Definition at line 922 of file MaterialModels.py.

◆ Cw6_tests

list Cw6_tests = [1.205, 1.2050, 1.2000, 1.1925, 1.1740, 1.1730, 1.1720, 1.1690, 1.1670, 1.1650, 1.1650]

static

Definition at line 803 of file MaterialModels.py.

◆ d_b

d_b

Definition at line 863 of file MaterialModels.py.

◆ d_c

d_c

Definition at line 859 of file MaterialModels.py.

◆ data

data

Definition at line 947 of file MaterialModels.py.

◆ dmg1

dmg1

Definition at line 872 of file MaterialModels.py.

◆ dmg2

dmg2

Definition at line 873 of file MaterialModels.py.

◆ E

E

Definition at line 866 of file MaterialModels.py.

◆ Fy

Fy

Definition at line 865 of file MaterialModels.py.

◆ G

G

Definition at line 901 of file MaterialModels.py.

◆ Gamma_1

Gamma_1

Definition at line 934 of file MaterialModels.py.

◆ Gamma_4

Gamma_4

Definition at line 935 of file MaterialModels.py.

◆ Gamma_6

Gamma_6

Definition at line 936 of file MaterialModels.py.

◆ I_c

I_c

Definition at line 862 of file MaterialModels.py.

◆ ID

ID

Definition at line 858 of file MaterialModels.py.

◆ Initialized

Initialized

Definition at line 884 of file MaterialModels.py.

◆ Kb

Kb

Definition at line 906 of file MaterialModels.py.

◆ Kbf

Kbf

Definition at line 911 of file MaterialModels.py.

◆ Ke

Ke

Definition at line 907 of file MaterialModels.py.

◆ Kf

Kf

Definition at line 912 of file MaterialModels.py.

◆ Kf_Ke

Kf_Ke

Definition at line 915 of file MaterialModels.py.

◆ Kf_Ke_tests

list Kf_Ke_tests = [1.000, 0.153, 0.120, 0.090, 0.059, 0.031, 0.019, 0.009, 0.005, 0.004, 0.000]

static

Definition at line 793 of file MaterialModels.py.

◆ Ks

Ks

Definition at line 905 of file MaterialModels.py.

◆ Ksf

Ksf

Definition at line 910 of file MaterialModels.py.

◆ M1

M1

Definition at line 930 of file MaterialModels.py.

◆ M4

M4

Definition at line 931 of file MaterialModels.py.

◆ M6

M6

Definition at line 932 of file MaterialModels.py.

◆ pinchx

pinchx

Definition at line 870 of file MaterialModels.py.

◆ pinchy

pinchy

Definition at line 871 of file MaterialModels.py.

◆ Ry

Ry

Definition at line 876 of file MaterialModels.py.

◆ t_dp

t_dp

Definition at line 868 of file MaterialModels.py.

◆ t_fbp

t_fbp

Definition at line 879 of file MaterialModels.py.

◆ t_p

t_p

Definition at line 867 of file MaterialModels.py.

◆ t_pz

t_pz

Definition at line 900 of file MaterialModels.py.

◆ tf_b

tf_b

Definition at line 864 of file MaterialModels.py.

◆ tf_c

tf_c

Definition at line 861 of file MaterialModels.py.

◆ V1

V1

Definition at line 926 of file MaterialModels.py.

◆ V4

V4

Definition at line 927 of file MaterialModels.py.

◆ V6

V6

Definition at line 928 of file MaterialModels.py.

The documentation for this class was generated from the following file:

/media/carmine/DATA/Programmi/OpenSeesPyAssistant/MaterialModels.py

Public Member Functions

Public Attributes

Static Public Attributes

Detailed Description

Constructor & Destructor Documentation

◆ __init__()

Member Function Documentation

◆ CheckApplicability()

◆ Hysteretic()

◆ ReInit()

◆ ShowInfo()

◆ UpdateStoredData()

Member Data Documentation

◆ a_s

◆ beam_section_name_tag

◆ beta

◆ bf_c

◆ Cf1

◆ Cf1_tests

◆ Cf4

◆ Cf4_tests

◆ Cf6

◆ Cf6_tests

◆ col_section_name_tag

◆ Cw1

◆ Cw1_tests

◆ Cw4

◆ Cw4_tests

◆ Cw6

◆ Cw6_tests

◆ d_b

◆ d_c

◆ data

◆ dmg1

◆ dmg2

◆ E

◆ Fy

◆ G

◆ Gamma_1

◆ Gamma_4

◆ Gamma_6

◆ I_c

◆ ID

◆ Initialized

◆ Kb

◆ Kbf

◆ Ke

◆ Kf

◆ Kf_Ke

◆ Kf_Ke_tests

◆ Ks

◆ Ksf

◆ M1

◆ M4

◆ M6

◆ pinchx

◆ pinchy

◆ Ry

◆ t_dp

◆ t_fbp

◆ t_p

◆ t_pz

◆ tf_b

◆ tf_c

◆ V1

◆ V4

◆ V6

◆ init()