SolidBoundaryLoadValue

SolidBoundaryLoadValue[pred,vars,pars]

represents a boundary load condition for PDEs with predicate pred indicating where it applies, with model variables vars and global parameters pars.

SolidBoundaryLoadValue[pred,vars,pars,lkeys]

represents a boundary load condition with local parameters specified in pars[lkey].

Details

  • SolidBoundaryLoadValue specifies a boundary condition for SolidMechanicsPDEComponent and is used as part of the modeling equation:
  • SolidBoundaryLoadValue is typically used to apply a pressure or force at a boundary.
  • SolidBoundaryLoadValue forces the movement of a solid with dependent variables , and , independent variables and time variable .
  • Stationary variables vars are vars={{u[x1,,xn],v[x1,,xn],},{x1,,xn}}.
  • Time-dependent variables vars are vars={{u[t,x1,,xn],v[t,x1,,xn],},t,{x1,,xn}}.
  • Frequency-dependent variables vars are vars={{u[x1,,xn],v[x1,,xn],},ω,{x1,,xn}}.
  • Model parameters pars are specified as for SolidMechanicsPDEComponent.
  • The following model parameters pars can be given:
  • parameterdefaultsymbol
    "Force"{0,0,0}, force in
    "Pressure"{0,0,0}, pressure in
  • Forces are automatically converted to a pressure.
  • The parameter "Thickness" is taken into account to convert the pressure from units to .
  • A prescribed displacement condition boundary can be used with:
  • analysis typeapplicable
    TransientYes
    Frequency ResponseYes
    EigenfrequencyNo
    StationaryYes
  • SolidDisplacementCondition evaluates to a NeumannValue.
  • The boundary predicate pred can be specified as in NeumannValue.

Examples

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Basic Examples  (1)

Compute the deflection of a spoon held fixed at the end and with a force applied at the top. Set up variables and parameters:

Set up the PDE and the geometry:

Visualize the displacement:

Scope  (5)

Create a pressure boundary load condition:

Create a force boundary load condition:

Create a time-dependent boundary load condition:

Create a time-dependent parametric boundary load:

Compute the deflection of a beam held fixed at the left end and with a pressure applied in the negative axis at the right end:

Set up a geometry and the PDE:

Solve the equation with a pressure load:

Solve the equation with a force load:

Because the surface area that the pressure and force act on is 0.02 and since the force is equal to pressure per area , the displacements are the same:

Wolfram Research (13), SolidBoundaryLoadValue, Wolfram Language function, https://reference.wolfram.com/language/ref/SolidBoundaryLoadValue.html.

Text

Wolfram Research (13), SolidBoundaryLoadValue, Wolfram Language function, https://reference.wolfram.com/language/ref/SolidBoundaryLoadValue.html.

CMS

Wolfram Language. 13. "SolidBoundaryLoadValue." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/SolidBoundaryLoadValue.html.

APA

Wolfram Language. (13). SolidBoundaryLoadValue. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SolidBoundaryLoadValue.html

BibTeX

@misc{reference.wolfram_2021_solidboundaryloadvalue, author="Wolfram Research", title="{SolidBoundaryLoadValue}", year="13", howpublished="\url{https://reference.wolfram.com/language/ref/SolidBoundaryLoadValue.html}", note=[Accessed: 24-January-2022 ]}

BibLaTeX

@online{reference.wolfram_2021_solidboundaryloadvalue, organization={Wolfram Research}, title={SolidBoundaryLoadValue}, year={13}, url={https://reference.wolfram.com/language/ref/SolidBoundaryLoadValue.html}, note=[Accessed: 24-January-2022 ]}