1. Lesson 18
Numerical Methods

2. There are many numerical methods to determine the response of an SDOF to arbitrary loading

3. There are many numerical methods to determine the response of an SDOF to arbitrary loading
Some come directly from last week’s lesson on Pulses:

4. There are many numerical methods to determine the response of an SDOF to arbitrary loading
Some come directly from last week’s lesson on Pulses:
Free Vibration

5. There are many numerical methods to determine the response of an SDOF to arbitrary loading
Some come directly from last week’s lesson on Pulses:
Free Vibration

6. There are many numerical methods to determine the response of an SDOF to arbitrary loading
Some come directly from last week’s lesson on Pulses:
Free Vibration
Rect. Pulse

7. There are many numerical methods to determine the response of an SDOF to arbitrary loading
Some come directly from last week’s lesson on Pulses:
Free Vibration
Rect. Pulse
Ramp
These methods employ Superposition. They are easy to understand. Unfortunately…

8. They lead to a pretty nasty list of things to compute

9. Our Emphasis: Constant Acceleration Method
Chopra 5.3
Based directly on the governing differential equation