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FEA – Finite Element Analysis

  • FEA – Finite Element Analysis
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Finite Element Analysis, which is the application of the Finite Element Method, is a mathematical technique used to determine approximate solutions for partial differential equations (PDE).

With reference to machine design it provides a structural analysis technique dependent upon a set of physical laws and mathematics used to study and predict structural behavior. Structural analysis reviews engineering artifacts whose integrity is judged fundamentally upon their ability to withstand loads. In its application to mechanical design it draws in the disciplines of mechanics, dynamics, and failure theory. Finite Element Analysis is primarily concerned with obtaining the computation of deformations, internal forces, and stresses, and of providing a method of proving design soundness without the need of directly building and testing it.

Machine design with FEA

CMS’ structural engineering and design work applies Finite Element Analysis with today’s most sophisticated software in order to obtain optimum results for stress evaluation, structural dimensioning, and testing the structural dynamic loads on machine elements, which makes it possible for CMS to design structures and choose motion systems (precision guides and roller recirculation sliding blocks), to provide enhanced operation power, geometrical accuracy and reliability for high-speed machining, even in heavy material removal conditions.

The resulting mobile mechanisms are designed with an optimized strength/weight ratio, driven by high-performance servomotors, providing high top end speeds, and high performance acceleration/deceleration responsiveness, combined with the maximum rigidity values and system reliability.

The analysis of a bridge structure is shown here. The predicted torsion and deflection are addressed through the FEA predictive process and shown in the output rendering.


In CMS’ evaluation of this outcome, it employs a folding technology in the bridge structure, as well as introducing a “honeycomb” internal structure, minimizing the  number of elements required, and reducing the number of welded joints, resulting in greater stiffness and strength.


Machine design with the aid of the most modern software

With the application of Finite Element Analysis (FEA), Computer Aided Design (CAD) and Product Data Management (PDA), CMS combines a number of advantages in its engineering methodology, which translate into performance benefits, such as:

  • Machines performing with the highest dynamics
  • Machined parts with higher quality
  • Structural design stability, such as that provided in the cellular (honeycomb) engineering technique, made from folded steel plate for high torsional stability
  • Structural dimensioning through FEA, ensuring:
    • maximum stiffness with reduced weight
    • resulting in high acceleration/deceleration performance with
    • the highest machined surface finish quality
  • Accurate analysis at the planning stage of first resonance frequency to ensure vibration free machining
  • Structural normalization by heat treatment of all structures to ensure maximum stability
  • All machined surfaces created in one machine set up to ensure total accuracy and structural alignment