# Dynamic analysis: Effect of damping on frequency

• svishal03

#### svishal03

This is a fundamental question but will be grateful if helped.

Please can anyone explain the effect of damping on frequency? Whether, damping increases or decreases the frequency and why? An explanation with a physical interpretation will be gratefully appreciated.

Vishal

A lightly damped oscillator has a frequency very close to the natural one (without damping).
As damping grows, the "efective" frequency gets smaller and vanishes when the damping reaches the critical value.

Thanks a lot.

1 )Why do you use the word "Effective" here?
2) when you say the frequency vanishes, you mean that the structure stops vibrating, right?

Consider the case where the damping approached infinity, you can see that the motion of the oscillator would all but vanish.
Another way to think about it would be to see that damping removes energy from the oscillator so its return trip from an extreme value will take longer than the time it took getting there from the zero point.

## 1. What is dynamic analysis?

Dynamic analysis is a method used in scientific research to study the behavior of a system over time. It involves analyzing the forces and motions of a system to understand how it responds to external stimuli.

## 2. What is damping in dynamic analysis?

Damping refers to the process of reducing the amplitude of vibrations or oscillations in a system. In dynamic analysis, damping is a measure of how much energy is dissipated in a system, and it can greatly affect the frequency of the system.

## 3. How does damping affect the frequency of a system?

Damping affects the frequency of a system by reducing the amplitude of vibrations. This results in a decrease in the natural frequency of the system. The more damping present in a system, the lower its natural frequency will be.

## 4. What is the relationship between damping and frequency in dynamic analysis?

The relationship between damping and frequency in dynamic analysis is inverse. As damping increases, frequency decreases, and vice versa. This is because damping reduces the amplitude of vibrations, which in turn affects the natural frequency of the system.

## 5. How is damping measured in dynamic analysis?

Damping can be measured in dynamic analysis using various methods, such as logarithmic decrement, half-power bandwidth, or quality factor. These methods use different equations and measurements to determine the amount of damping present in a system.