Does Mass Affect Vibration Response in Single Degree of Freedom Systems?

  • Thread starter Thread starter jrm2002
  • Start date Start date
  • Tags Tags
    Vibration
AI Thread Summary
In a single degree of freedom system, a larger time period (T) correlates with greater peak deformation due to the system's mass and stiffness relationship, expressed as T=2*pi*sqrt(m/k). While increased mass results in a longer time period, which typically leads to higher peak deformation, it also introduces greater inertia. This greater inertia could suggest reduced peak deformation; however, the dominant factor remains the time period's effect on deformation. The discussion highlights the complexity of these interactions and the need for clarity on how mass and inertia influence system behavior. Understanding these dynamics is crucial for accurately predicting vibration responses.
jrm2002
Messages
54
Reaction score
0
Considering the free vibration response of a single degree of freedom system:

It is observed ,that, larger the Time Period (Vibration Period -"T") of the system(consider a single degree of freedom system), greater is the peak deformation of the system.Right?

Time Period on the other hand is directly proportional to the mass (m)(T=2*pi*sqrt(m/k)) , k being the stffness of the system.

This means a system having more mass hence more "T" will have higher peak deformation.Right?

But if a system has more mass it offers more inertia, right?Now, if the system offers more inertia should'nt the peak deformation be less??

Plz. help!
 
Physics news on Phys.org
jrm2002 said:
It is observed ,that, larger the Time Period (Vibration Period -"T") of the system(consider a single degree of freedom system), greater is the peak deformation of the system.Right?
Why do you say that?
 

Thread 'Why can't Solar panels be hemispherical, or a curved strip type?'

comparing a flat solar panel of area 2π r² and a hemisphere of the same area, the hemispherical solar panel would only occupy the area π r² of while the flat panel would occupy an entire 2π r² of land. wouldn't the hemispherical version have the same area of panel exposed to the sun, occupy less land space and can therefore increase the number of panels one land can have fitted? this would increase the power output proportionally as well. when I searched it up I wasn't satisfied with...
View full post »

Similar threads

Tuned mass damper does not reduce the amplitude of vibration?
Replies
4
Views
1K
Single degree of freedom system/equivalent mass
Replies
1
Views
1K
I Justify Assumption of Exponential Response to Free Vibration Problem
Replies
6
Views
1K
Mass atop four springs with external input: Reduce vibration amplitude by factor of ten
Replies
3
Views
817
Difference between resonance in undamped vs damped mass-spring-dashpot
Replies
17
Views
2K
Understanding solution to equations of motion of n coupled oscillators
Replies
4
Views
2K
Value of Spring Stiffness k in Free Vibration of Mass-Spring System
Replies
11
Views
2K
Single Degree of Freedom System-Video Simulation
Replies
3
Views
5K
Single Degree-of-Freedom Systems
Replies
1
Views
3K
Free vibration of 100 DOF spring
Replies
12
Views
2K

Hot Threads

Recent Insights

Back
Top