1.2.2. Types of Vibratory Systems

Try these first

1. 1.

   What is an SDOF system?

   Hint

   Think of a simple mass on a spring.

2. 2.

   What does an MDOF system represent?

   Hint

   Consider a structure like a multi-story building.

3. 3.

   What defines a Single Degree of Freedom (SDOF) system?

   • It requires one coordinate to describe motion
   • It requires two coordinates
   • It has infinite degrees of freedom

   Hint

   Think of how many coordinates are needed for a simple model.

4. 4.

   True or False: MDOF systems can model complex structures more accurately than SDOF systems.

   • True
   • False

   Hint

   Consider the level of detail in each system.

5. 5.

   For a system modeled as SDOF, describe the approach to analyze its vibration under a single periodic force.

   Hint

   Think about how the natural frequency plays a role in the response.

6. 6.

   Discuss the implications of assuming an MDOF system as an SDOF system for large buildings during earthquakes.

   Hint

   Consider how energy might transfer through different parts of the building.