## General Mechanical

#### Accelerations xyz

• momidor
Subscriber

Hi,

I have the worst case combination of accelerations and  I'm curious how apply this to the simple beam fatigue Ansys simulations.

Acceleration factors [·m/s2]

ax

ay

az

1.28

2.75

1.48

• peteroznewman
Subscriber

Hi mom,

I'm not sure what the "simple beam fatigue Ansys simulations" are, but I know a bit about fatigue and vibrations.

Fatigue is due to cycles of stress amplitude. More cycles creates more fatigue damage, and higher amplitudes creates more fatigue damage.

You have provided an amplitude, but no frequency information. Are these amplitudes at a specific frequency?  You also need to provide a duration this vibration is applied to determine the fatigue damage. Longer duration creates more fatigue damage.

When I test samples for fatigue on a single-axis shaker table, and I have a specification for x, y and z directions, I apply the vibrations sequentially on each axis. The damage is accumulated through the three tests as the vibration is applied in the three directions in sequential tests.

• momidor
Subscriber

Hi Peter,

I would like to apply let say 10 kN vertical only concentrate force which is acting on the edge of beam. This beam is suppose to be working for 10 years under accelerations ax,ay,az which is acting with frequency 1/8 Hz.    Should I use the Random Vibration module ? Actually it's not random but rather very steady.

• peteroznewman
Subscriber

Hi mom,

What is creating the 10 kN force at the tip? If it is a spring or cable to the sea floor, then you can apply a force, but if it is a 1,020 kg mass at the end of the beam, you should add that concentrated mass at the end of the beam and turn on gravity to deflect the beam. The mass needs to be present when the base accelerations occur.

Add a Static Structural system feeding into a Modal system so you get the effect of the 10kN prestress, then feed that into three Harmonic Response systems to find out the peak response to harmonic base vibrations in the range 0.0625 (1/16) to 0.25 (1/4) Hz to account for the some uncertainty around the 1/8 Hz frequency.

You can then request a frequency response. Here is the Z axis tip displacement of 0.545 mm at 1/8 Hz with the 10 kN tip force.

If I suppress the 10 kN force and add a 1020 kg mass to the tip, then the response in Z is much larger at 5.3 mm

• peteroznewman
Subscriber

Importance of Damping in Dynamic Analysis

I don't know the length and beam properties of your example, but in the example I made up, I used higher frequencies to see the different modes that are in my structure. I do this to show that the peak response is highly dependent on the damping in the model. For lightly damped structures, you also have to refine the frequency spacing so as not to cut off the peak with a poor choice of frequencies in the result.

In the first plot I requested a linear spacing of 200 points between 0 and 100 Hz and I see there are two peaks with the maximum stress of 186.9 MPa, but if I request a log spacing of 200 points, then the peak stress jumps to 705 MPa, so the first plot misses the peak. But this is unrealistic because there is no damping.

In the third plot, I keep the log spacing but add 0.1 Constant Damping to the model and the peak stress is now 111.3 MPa and that won't change much with a tighter spacing of frequencies in the result plot.

With acceleration at the higher frequencies, the fatigue tool begins to show a finite life on the steel material.

Life shows 200,000 cycles to failure, and at 8 seconds/cycle, that means failure is predicted to occur in 1.6 million seconds or 444 hours or 18.5 days for my made-up example.