Finite Element Analysis

Designs in the form of simple bars or beams are easily analyzed by strength of materials and theory of elasticity. As designs become more complex, closed form solutions are no longer possible and the designer is forced to use approximations, experiments, or numerical methods. Finite element analysis (FEA) is one of the most common numerical methods for engineering analysis. Finite element analysis may also be referred to as the finite element method (FEM).

Capabilities

Linear Static

Linear static is the most straight forward type of analysis. The elements follow a linear stress-strain curve. Static analysis means that the loads are applied very slowly to the structure and dynamic effects such as vibration are not considered. Static equivalent loads can be estimated and applied to the structure. Thermal loads can also be applied. This analysis assumes small displacements.

Large Displacements

For large displacement all equilibrium equations are written in the deformed configuration of the structure. This requires multiple iterations to converge. This type of analysis is particularly useful for buckling and post buckling behavior such as snap through. Large displacement models can be used in conjunction with geometric and material non-linearity. This is also sometimes referred to as a P-delta analysis.

Non-Linear Static

For a non-linear static model the stress-strain curve is not linear. A simple example is a rope is capable of a transferring a tensile load but cannot transfer a compressive load. In this case the stress-strain curve changes with load direction. This is still a static analysis and does not consider any dynamic effects such as vibration or harmonic excitation. This analysis assumes small displacements.

Non-Linear Time History

Non-linear time history analysis (NLTHA) is a very powerful and complex analysis method. It allows dynamic analysis to be performed with structures that have non-linear elements. Non-linear time history analysis has a wide variety of applications including seismic, collisions, harmonic excitation with damping, and more. Non-linear time history analysis is the most accurate analysis method for both linear and non-linear analysis of complex structures. Unlike an equivalent static analysis such as a pushover analysis, Non-linear time history analysis satisfies dynamic equilibrium at each time step.

CP&A has proprietary analysis software, learn about our software:

Software

Typical Applications

Finite element analysis is a very powerful numerical method that has many applications. CP&A primarily use FEA to solve structural and mechanical component applications. CP&A is capable of both linear and non-linear analysis.