| Definition |
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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,
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| Equation of Motion for SDOF Systems |
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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 | |
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SDOF Vibration |
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Introduction |
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Undamped Free Vib. |
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Damped Free Vib. |
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Periodic Excitation |
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General Forcing |
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Glossary |
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MDOF Vibration |
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Equations of Motion |
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Applications |
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SDOF Calculator |
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Moving Vehicle |
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Accelerometer |
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Resources |
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Bibliography |
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