Cantilever beam (Cantilever)

Power variables

flux: Force \(f\) (N)

effort: Velocity \(v\) (m.s)

Arguments

label : str

Cantilever label.

nodes : ('N1', 'N2')

Any number of nodes associated with contact points. An effort-controlled port (u=force, y=velocity) is created for each node in the list. Two parameters (position 'w#' and width 'z#') must be provided for each contact point #.

parameters : keyword arguments

The default values are taken from [1] (table 4) with two contact point N1 and N2.

Usage

beam = Cantilever('beam', ('N1', 'N2'), F=440.0, N=5, R=0.001, E=180000000000.0, M=7750, A=0.05, D=6.0, z1=0.15, w1=0.015, z2=1.0, w2=0.0)

Netlist line

beams.cantilever beam ('N1', 'N2'): F=440.0; N=5; R=0.001; E=180000000000.0; M=7750; A=0.05; D=6.0; z1=0.15; w1=0.015; z2=1.0; w2=0.0;

Example

>>> # Import dictionary
>>> from pyphs.dictionary import beams
>>> # Define component label
>>> label = 'beam'
>>> # Define component nodes
>>> nodes = ('N1', 'N2')
>>> # Define component parameters
>>> parameters = {'F': 440.0,           # Fondamental frequency (Hz)
...               'N': 5,               # Number of eigen-modes (d.u)
...               'R': 0.001,           # Radius (m)
...               'E': 180000000000.0,  # Young modulus (N/m2)
...               'M': 7750,            # Mass density (kg/m3)
...               'A': 0.05,            # Damping coefficient (N/s)
...               'D': 6.0,             # Modes damping progression (d.u)
...               'z1': 0.15,           # Relative position of contact 1 ([0, 1])
...               'w1': 0.015,          # width of contact 1 (m)
...               'z2': 1.0,            # Relative position of contact 2 ([0, 1])
...               'w2': 0.0,            # width of contact 2 (m)
...              }
>>> # Instanciate component
>>> component = beams.Cantilever(label, nodes, **parameters)
>>> # Graph dimensions
>>> len(component.nodes)
16
>>> len(component.edges)
35

Reference