42.5. Mathematical Modeling of Base Isolated Buildings

Try these first

1. 1.

   What does 2DOF stand for?

   Hint

   Think about a system with two separate masses.

2. 2.

   Name one analysis method used in evaluating base-isolated structures.

   Hint

   Both terms start with 'Time' or 'Response'.

3. 3.

   What does the 'M' represent in the Equation of Motion?

   • Mass matrix
   • Damping matrix
   • Stiffness matrix

   Hint

   M's significance is in its relationship to acceleration.

4. 4.

   True or False: Time history analysis provides a detailed view of the structure's performance over time during an earthquake.

   • True
   • False

   Hint

   Consider what aspect of the motion is tracked.

5. 5.

   Given a structure with a mass of 5000 kg and a damping coefficient of 10 Ns/m, derive the equation of motion including the stiffness multiplier and ground acceleration of 5 m/s².

   Hint

   Remember to keep each term consistent with units and parameters.

6. 6.

   Assume a building uses time history analysis to evaluate responses to a ground motion with varying acceleration over time. Discuss its impact relative to a simple average response from response spectrum analysis.

   Hint

   Think about the detailed aspect of how structures react as conditions change.