There are a large number of rotating machinery in industrial practices, such as fans, compressors, pumps, centrifuges, steam turbines, etc. Due to the relatively high rotation speed, the centrifugal force generated by its rotation cannot be ignored. When performing finite element analysis on a rotating machine, the inertial centrifugal force generated by the rotation has a significant influence on the static and dynamic characteristics of the body. This article shows how centrifugal force (rotational velocity) is implemented in WELSIM.

### 1 Rotational machinery blade

This is a machined and polished centrifugal rotating mechanical blade. The blades are welded on the disc, and the connection has been polished. The middle through hole is used to link the shaft. Generally used to connect drivers such as motors or turbines.

### 2 Geometric model

We set up a similar structure in CAD software and import the STEP format file into WELSIM to get the following model

### 3 Meshing

Here we use the tet10 elements and automatic mesh generation. A total of 12546 nodes, 6223 tetrahedral elements are generated.

### 4 Boundary conditions and loads

WELSIM provides the commonly used boundary conditions, but also provides the angular velocity physical force to represent the centrifugal force.

Applying a rotational velocity to the structure essentially imposes a centrifugal force on the bodies. The formula gives F = mrw² where w is the rotational velocity, r is the distance between any point in the modal to the axis of rotation. Therefore, to completely define the centrifugal force, both rotational velocity and the position of the axis must be set.

Here, the angular velocity is defined to 100 rad/s, with the blade shaft as the rotational axis.

Fix the fan blade shaft

### 5 Results and assessment

The results of the finite element analysis of centrifugal impeller are given below. The maximum value of the total deformation is 1.880e-6, which shows that the deformation of the structure is minimal under the current rotation velocity, material, and design.

The von-Mises stress result is shown here, the maximum value is 3.140e6, and this magnitude is also within the allowable stress of the steel material. It can be seen that the stress concentration is located at the welding head and tail of the blade. So in the design and manufacturing stage, these areas can be optimized.

Note: The rotational velocity is a new feature introduced in WELSIM v1.7.