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  • About
    • Who We Are
    • Partners & Providers
    • News & Events
    • The ESRD Blog
    • Careers
    • Contact Us
  • Applications
    • What We Solve
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    • Composites
    • Fracture Mechanics
    • Residual Stress
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Modal & Buckling Solver

Home ProductsStressCheck ProfessionalSolversModal & Buckling Solver

Modal & Buckling Solver

Analyzing thick and thin domains is quick and easy with StressCheck’s Modal & Buckling Solver module.  In most cases only one element is needed through a part’s thickness for a reliable solution.  The computed natural frequencies and buckling load factors exhibit superconvergence.  Pre-stress conditions can be easily handled.

Second mode shape for a 3D structure.

The Modal & Buckling Solver provides a solver and post-processing functionalities for modal analysis and bifurcation (eigenvalue) buckling. Modal and buckling analyses can be performed for both 2D planar problems (plates and beam elements) and 3D problems (shell, extrude and solid elements).

Key Features and Advantages

Modal Analysis (i.e. Natural Frequencies)

Modal analysis supports computation of natural frequencies and their associated mode shapes.

  • Mass density may be defined as a constant or as a formula
  • Mode shapes can be constrained or unconstrained, in which the first six shapes are rigid body modes
  • Can specify a pre-stress for 3D problems to account for initial stress conditions

Buckling Analysis (i.e. Buckling Load Factors)

Buckling analysis  supports computation of buckling load factors and their associated buckling mode shapes. Both standard and pre-load buckling options are incorporated. To perform a buckling analysis, StressCheck first solves the linear problem corresponding to the specified loads and constraints. Using the stress field computed from the linear solution, a geometric stiffness matrix is generated and used for eigenvalue computation.

  • Standard buckling provides a buckling load factor for a given loading condition
  • Pre-load buckling takes into account an additional fixed set of loads (for example, residual stresses) when reporting the buckling factor for applied loads

Core Advantages

  • StressCheck’s high-order elements minimize detrimental locking effects on the eigenvalue solution and promote proper simulation of mode shapes
  • The element formulation permits rapid transitions from thin to thick domains
    • In many cases only one element is needed through a part thickness
  • Convergence information for natural frequencies and buckling load factors is reported
    • No limit on number of eigenvalues to be computed
  • StressCheck Handbook simplifies boundary condition influence on buckling load factor and mode shapes by allowing users to switch between support types

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Testimonials

  • “We used StressCheck on two projects last year, and we were very happy with it. I thank your engineers who provided their insights and suggestions for us during these projects. We really appreciate your team’s contributions this year to the Navy P-8 project. We look forward to working with ESRD again during next year on other Navy projects.”

    Dr. Nagaraja Iyyer
    Director of Engineering, Technical Data Analysis, Inc.

Testimonials

“We have been having very good success using the P-Version finite element code, StressCheck, to develop the 2-D solutions for two independent cracks in a plate. I have asked one of our AFGROW team members to model the plate and lug cases using StressCheck and compare them to the existing AFGROW closed-form solutions. [He] modeled the cases several different ways to be sure that he was getting the best possible solutions. He has verified that the bearing load option in StressCheck provides excellent results.”

Jim Harter, Team Leader-Analytical Fatigue/Fracture Reliability Team Air Force Research Laboratory (AFRL)

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