# 3.6.7: Natural Vibrations

In case you want to know how and at which frequency a structure vibrates use the **“NaturalVibrations”**-component. Fig. 3.6.7.1 shows a simply supported steel beam IPE100 of length$$10m$$with a point-mass at mid-span in its 24th natural vibration mode.

The mass of beams and trusses enters the calculation of natural vibrations with the values derived from their material weight. Karamba3D uses consistent mass matrices for beam elements. For truss and shell elements a lumped approach is applied.

At nodes additional masses (see section [3.1.11](/3-in-depth-component-reference/3.1-model/3.1.11-point-mass.md)) can be defined to simulate the effect of e.g. concrete slabs (these normally make up the majority of mass in high-rises) in an approximate manner. These masses are assumed to have translational inertia only.

Karamba3D scales the resulting vibration modes $$\vec {v\_i}$$ in such a way that their largest component is 1. They get attached to a model as result-cases which can be viewed via a **“ModelView”**-component. The calculation of modal mass and participation factors are based on the modal displacements as scaled in the above described manner.

![Fig. 3.6.7.1: Natural vibration mode of a simply supported steel beam with a point-mass at mid-span.](/files/-MCkEU7N8avth1lDafPb)

{% file src="/files/X3z91Gu9Thvw7eDevjMY" %}


---

# Agent Instructions: Querying This Documentation

If you need additional information that is not directly available in this page, you can query the documentation dynamically by asking a question.

Perform an HTTP GET request on the current page URL with the `ask` query parameter:

```
GET https://manual-2.karamba3d.com/3-in-depth-component-reference/3.5-algorithms/3.5.7-natural-vibrations.md?ask=<question>
```

The question should be specific, self-contained, and written in natural language.
The response will contain a direct answer to the question and relevant excerpts and sources from the documentation.

Use this mechanism when the answer is not explicitly present in the current page, you need clarification or additional context, or you want to retrieve related documentation sections.
