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structural mechanics -凯发k8网页登录

solve linear static, transient, modal analysis, and frequency response problems

with structural analysis, you can predict how components behave under loading, vibration, and other physical effects. this helps you design robust mechanical components by validating designs through simulation and reducing the need for physical testing.

the toolbox lets you perform linear static analysis, transient analysis, modal analysis, and frequency response analysis. a typical programmatic workflow for solving a structural problem includes these steps:

  • create a special structural analysis container for a solid (3-d), plane stress, or plane strain model.

  • define 2-d or 3-d geometry and mesh it.

  • assign structural properties of the material, such as young's modulus, poisson's ratio, and mass density.

  • specify a damping model and its values for a dynamic problem.

  • specify gravitational acceleration as a body load.

  • specify boundary loads and constraints.

  • specify initial displacement and velocity for a dynamic problem.

  • solve the problem and plot results, such as displacement, velocity, acceleration, stress, strain, von mises stress, principal stress and strain.

  • approximate dynamic characteristics of a structural model by using reduced order modeling (rom).

von mises stress plot in color

functions

create model
assign structural properties of material for structural model
specify damping parameters for transient or frequency response structural model
specify body load for structural model
specify boundary loads for structural model
specify boundary conditions for structural model
set initial conditions for a transient structural model
specify structural superelement interface for component mode synthesis
solve structural analysis, heat transfer, or electromagnetic analysis problem
assemble finite element matrices
reduce structural or thermal model
recover full-model transient solution from reduced-order model (rom)
linearize structural or thermal model
specify inputs to linearized model
specify outputs of linearized model
evaluate stress for dynamic structural analysis problem
evaluate strain for dynamic structural analysis problem
evaluate von mises stress for dynamic structural analysis problem
evaluate reaction forces on boundary
evaluate principal stress at nodal locations
evaluate principal strain at nodal locations
interpolate displacement at arbitrary spatial locations
interpolate velocity at arbitrary spatial locations for all time or frequency steps for dynamic structural model
interpolate acceleration at arbitrary spatial locations for all time or frequency steps for dynamic structural model
interpolate stress at arbitrary spatial locations
interpolate strain at arbitrary spatial locations
interpolate von mises stress at arbitrary spatial locations
plot solution or mesh for 2-d problem
plot solution or surface mesh for 3-d problem
plot pde geometry
plot pde mesh
create and plot pde visualization object
find structural material properties assigned to geometric region
find damping model assigned to structural dynamics model
find structural boundary conditions and boundary loads assigned to geometric region
find initial displacement and velocity assigned to geometric region
find body load assigned to geometric region

live editor tasks

create and explore visualizations of pde results in the live editor

objects

structural model object
reduced-order structural model results
static structural solution and derived quantities
transient structural solution and derived quantities
modal structural solution
frequency response structural solution and derived quantities

properties

structural material property assignments
damping assignment for a structural analysis model
superelement interface assignment for structural model
body load assignments
boundary condition or boundary load for structural analysis model
initial displacement and velocity over a region
initial displacement and velocity at mesh nodes
algorithm options for solvers
pde visualization of mesh and nodal results

topics

structural analysis workflow

general pde workflow


  • solve a coupled elasticity-electrostatics problem.

  • calculate the deflection of a structural plate acted on by a pressure loading.

  • analyze the dynamic behavior of a beam clamped at both ends and loaded with a uniform pressure load.

  • find vibration modes of a circular membrane.

  • perform coupled electro-mechanical finite element analysis of an electrostatically actuated micro-electro-mechanical (mems) device.

structural mechanics equations


  • linear elasticity equations for plane stress, plane strain, and 3-d problems.
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