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375kW Vacuum Pump Baseplate, Linear Static Analysis

MDA designed and structurally substantiated this foundation mounted baseplate to support a 375 [ kW ] motor and vacuum pump operating at 16.6 [ Hz ]. The baseplate, shown below top left, was surface modeled then meshed with plate elements which were assigned the appropriate thickness corresponding to baseplate materials of construction.

API specification 610, 11th Ed. specifies maximum allowable misalignment between the driver and driven shafts at the coupling. A lifting analysis was performed as shown below top right to confirm the misalignment specification is not exceeded. Nodal rotations about the z-axis from the finite element model (FEM) were used to determine the amount of bow in the baseplate and confirm the specification is met. Von-Mises stresses caused by nozzle loads are shown below bottom left. Von-Mises stresses due to lifting are shown below bottom right. Read more about this analysis on our Frequency Response page.

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350HP Vacuum Pump Baseplate, Linear Static Analysis

MDA designed and structurally substantiated this platform mounted baseplate to support a 350 [ HP ] motor and vacuum pump operating at 11.9 [ Hz ]. Massless rigid beams connect nodal masses (located at the pump and motor centroids) representing the pump and motor weights to the baseplate. Load cases were established per International Building Code 2015. Read more about this analysis on our Frequency Response and Modal pages.

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350HP Vacuum Pump Platform, Linear Static Analysis

MDA designed and structurally substantiated this platform used to mount three 350 [ HP ] vacuum pumps. The analysis included the baseplates and rotating equipment masses. Load cases were established per International Building Code 2015. Read more about this analysis on our Frequency Response and Modal pages.

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Stack, Linear Static Analysis

MDA was retained to perform linear static analysis in order to check stack deflection and stresses, and trunnion stresses. The stack is to be lifted by the trunnion (indicated by arrow in figure below) from a horizontal position to an upright position; thus through an angle of 90 [ deg ]. Stress and deflection allowables, and weights of refractory, brick, ladders, platforms, and other ancillary equipment was provided by our client. The stack and significant structure was surface modeled, meshed, and analyzed. Rather than rotate the model with every angle of lift, the gravitational field is applied at 15 [ deg ] intervals with respect to the global coordinate system resulting in a total of seven linear static analyses. Because the stack contains refractory, the density of the plate elements is adjusted to compensate for this additional weight. To be conservative, only the mass of the refractory is added to the plate elements representing the steel shell; no adjustments are made for stiffness changes in the structure associated with the addition of refractory. The figure lower left shows the shell, trunnion, and repad stresses. The lower right figure provides trunnion and lug loads as a function of lift angle.

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Stern Roller, Linear Static Analysis

MDA performed linear static stress analysis on a stern roller used to convey large diameter pipe off a ship for offshore pipe laying applications. Our client provided the 3D models and MDA performed analysis on all critical components and provided our client with design changes and substantiating analysis on components that were originally found to be inadequate.

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Custom Trailer Frame, Linear Static Analysis

MDA performed linear static stress analysis on this custom Airstream trailer. The model was setup based on our customer's interior and passenger loads. The placement of interior component loads was adjusted in the analysis until acceptable axle and tongue loads were achieved. We provided required interior component locations, frame stiffening recommendations, and tongue and axle loads to our client.

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About Linear Static Analysis

A linear static analysis is an analysis where a linear relation holds between applied forces and displacements. In practice, this is applicable to structural problems where stresses remain in the linear elastic range of the material being analyzed. In a linear static analysis, the model’s stiffness matrix is constant and the solving process is relatively short compared to a nonlinear analysis on the same model. Many times, for a first estimate, a linear static analysis is performed prior to a nonlinear analysis.

MDA and Linear Static Analyses

MDA has performed hundreds of linear static analyses. A brief list is shown below:

  • Machine frames
  • Baseplates
  • Conveying equipment
  • Robotic components
  • Platforms, stacks, & derricks
  • Pressure vessels
  • Heavy machinery
  • Component parts
  • Complex assemblies

In some projects, the linear static analysis identifies the design has stresses and/or displacements which exceed the design requirements. In these instances, when requested, MDA works with our client to improve the design so it complies with requirements. Click here to view an example of an analysis report we provide.

Our FEA Capabilities
  • Linear
  • Static stress & deflection
  • Dynamic stress & deflection
  • Critical buckling load
  • Nonlinear
  • Thermal
  • Topology optimization
  • Size optimization
  • Geometric
  • Material
  • Contact
  • Postbuckling (Riks)
  • Mechanical event simulation
  • Dynamic stress & deflection
  • Dynamic
  • Modal analysis
  • Frequency response
  • Time response
  • Response spectrum
  • Random vibration
  • Transient stress
  • Explicit & implicit
  • Drop and direct impact events
  • Rotor dynamics
  • Shock and seismic
  • Power train vibration analysis
  • Fatigue life & durability