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.
Modal & Buckling Solver
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 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 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
- 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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“The p-type element has been used to great advantage in the finite element system ESRD StressCheck, [26]. This software provides the engineer with the means to conduct solution verification in an extremely straightforward manner by simply increasing the degree of the element, monitoring convergence and using Richardson extrapolation reliably to estimate the error. This can be conducted automatically by the software thereby enabling the engineer to concentrate on the engineering rather than the simulation. StressCheck has also been used to develop ESRD’s Handbook and Toolbox applications. The first of these provides engineers with a repository of parameterised standard problems of the type found in texts like Roark’s “Formulas for Stress and Strain”, [27]. The second, Toolbox, is a tool that can be used to parameterise a company’s range of components for rapid and reliable analysis by non-expert analysis. Toolbox then is an exemplary of the way in which the democratisation of simulation can be applied.”
Angus Ramsay, PhD
Engineering Director, Ramsay Maunder Associates