| Definition |
 |
|
The simplest vibratory system can be described by a single mass connected to a spring (and possibly a dashpot). The mass is allowed to travel only along the spring elongation direction. Such systems are called Single Degree-of-Freedom (SDOF) systems and are shown in the following figure,
 |
| Equation of Motion for SDOF Systems |
|
|
SDOF vibration can be analyzed by Newton's second law of motion, F = m*a. The analysis can be easily visualized with the aid of a free body diagram,
 The resulting equation of motion is a second order, non-homogeneous, ordinary differential equation:
 with the initial conditions,
 The solution to the general SDOF equation of motion is shown in the damped SDOF discussion. |
| Formula Home | |
 |
SDOF Vibration |
 |
Introduction |
|
Undamped Free Vib. |
|
Damped Free Vib. |
|
Periodic Excitation |
|
General Forcing |
|
Glossary |
|
MDOF Vibration |
|
Equations of Motion |
|
Applications |
|
SDOF Calculator |
|
Moving Vehicle |
|
Accelerometer |
|
Resources |
|
Bibliography |
Metal 3D Printing Design Guide
Direct Metal Laser Sintering (DMLS) 3D printing for parts with reduced cost and little waste.
CNC Machining Design Guide
Optimize your designs, reduce machining time, and lower your costs.
Negotiate Your Salary
Learn the best principles to negotiate the salary you deserve!
3D Scanners
A white paper to assist in the evaluation of 3D scanning hardware solutions.