32.2.1. Equation of Motion

Try these first

1. 1.

   What does 'm' stand for in the equation of motion?

   Hint

   Think about what affects a structure's inertia.

2. 2.

   What is the role of damping in structural dynamics?

   Hint

   Consider what happens to oscillations over time.

3. 3.

   What does 'c' represent in the equation of motion?

   • Damping Coefficient
   • Structural Rigidity
   • Mass

   Hint

   Consider what helps reduce vibrations in structures.

4. 4.

   True or False: The equation of motion only applies to structures with multiple degrees of freedom.

   • True
   • False

   Hint

   Think about the definition of SDOF.

5. 5.

   A structure with a mass of 1500 kg and a damping coefficient of 30 Ns/m will be subjected to ground acceleration of 2 m/s². Write the equation of motion and describe the implications of ground acceleration on the structure.

   Hint

   Remember the equation format and how to incorporate acceleration.

6. 6.

   If you reduce the mass of a structure significantly while keeping stiffness and damping constant, how will the equation of motion change? Discuss potential impacts.

   Hint

   Discuss how reducing mass affects inertia within the context of dynamic loads.