Updated on January 6, 2025

Interaction matrix

Interaction matrix is a table showing interactions among components of the analyzed engineering system and its supersystem. It is a result of the interaction analysis.

Overview

The interaction matrix is an output of the interaction analysis conducted during the function analysis of a device. It is typically presented in the form of a table, where the input data are the components identified during the component analysis. Accurate completing this matrix is crucial for conducting the next stage of the function analysis, which is function modeling.

Creating the interaction matrix

The interaction matrix is created based on the component model. To build it, follow the steps:

  1. Construct a matrix with rows and columns equal to the number of all components identified during the component analysis.
  2. Place the names of the components in both the column headers and row headings in the same sequence. It is  recommended that the components be entered in the following order:
  3. In the matrix, record the presence of an interaction with a “+” sign and the absence with a “–” sign.

The interaction matrix must be symmetrical relative to the diagonal that runs from the upper left corner to the lower right corner. If component 1 interacts with component 2, then 2 must also interact with 1. This symmetry arises because the matrix uses the same set of components in both its rows and columns in the same order, making any interaction mutual.

When constructing the interaction matrix, it’s important to accurately assess the presence of interactions between components. Mislabeling these interactions can affect the outcome of the whole function analysis.

If a non-existent interaction is mistakenly marked with an “+,” the analysis process may take longer as it will be examined for potential functions later. However, failing to mark an actual interaction has more serious consequences, as it can result in missing functions, leading to incomplete analysis and possibly incorrect conclusions. In cases of uncertainty, it is advisable to use a “+” to ensure all potential interactions are considered.

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