Technology Foundation



Non-linear structural dynamics


In Fedem, a non-linear structural dynamics approach is utilized in order to simultaneously solve structural deformations and 3D motion dynamics in the time domain. The mechanical assembly to be simulated is comprised of parts, each represented by a linear elastic finite element model and coupled together with linear or non-linear joints. After a DOF reduction of each part based on a dynamic superelement formulation, the system equations are assembled and solved with respect to finite element degrees of freedom. Fedem utilizes its own element formulations and its proprietary solver to perform the model solution.

This approach provides several advantages over conventional methods:

  • Mutual dependencies between structural and dynamic properties are always automatically accounted for.
  • The time domain solver is highly numerically stable since strain energy is implicitly represented in the equation system.
  • A single stage integrated process replaces a conventional two stage process of:
    • load generation (from physical test and/or multi-body dynamics simulation) and
    • subsequent, separate, structural analysis of each component.


The Fedem approach is practical for the engineer - its logic emulates real life..



Integrated and efficient workflow


The process of modeling and evaluating dynamic and structural properties of a mechanical assembly is highly integrated. When a proposed design is to be verified and a finite element model of each individual part in the assembly has been produced, the engineer has to follow these logical steps:

  • Build the mechanical assembly by importing each finite element model, positioning the parts relative to each other, adding joints, springs, dampers, forces, control systems, etc. and specifying mechanism drive functions.
  • Define and run the dynamic time domain simulation. Fedem automatically reduces each finite element model to a superelement prior to running the time domain solver. Reduced models can be re-used both for other dynamic events and Fedem models.
  • Post-process and assess results. Dynamic results are readily available from the time domain solver. Structural results are obtained by an integrated superelement recovery process.

Fast structural recovery


Structural results are obtained subsequent to the time domain simulation through an integrated superelement recovery process. A complete set of strain and stress components can be recovered for all elements and time increments. However, recovery can also be performed individually on parts or even on pre-defined element groups for selected time increments. Time history summaries, such as max/min stress, are also provided.



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