Solution-Accuracy_Jack.docx - Literature Review – Solution Accuracy – Direct Integration vs Modal Superposition Central to the success of any

Solution-Accuracy_Jack.docx - Literature Review –...

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Literature Review – Solution Accuracy – Direct Integration vs. Modal Superposition Central to the success of any simulation is the accuracy of the resultant solution, regardless of whether the problem is static or dynamic, large or small. A simulation that provides an inaccurate solution or result delivers little to no meaning to its creator(s) and potential user(s). It is therefore essential that in solving the dynamic response of a structure, using both direct integration and modal superposition methods in an FEA model, that the simulations solution accuracy is considered. Direct Integration can be split into both explicit and implicit forms, and it is important to distinguish between the two. If a direct computation of the dependent variables can be performed in terms of the known independent variables, the computation is said to be explicit, whereas conversely, implicit computation implies that the dependent variables can be calculated via solving a coupled set of equations (either by a matrix or iterative technique) (Flow3d, 2005). According to Harish (2019), “Explicit analysis is best suited to situations where there is a dynamic equilibrium or otherwise when the sum of all forces on the system is equal to the mass multiplied by the acceleration”. Implicit analysis should be used when the events are either less dynamic in nature, the strain rates are minimal, or when the sum of all forces on the body is equal to 0 (Simscale, 2019).
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