Practice Mathematical Modeling (14.2.1) - Natural Frequencies - Earthquake Engineering - Vol 1

Practice: Mathematical Modeling

Lesson 14.2.1Natural Frequencies

Practise this section

9 questions

Flashcard drill
3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What does the mass represent in a mass-spring-damper system?
Show hintHide hint
Think about what the structure's weight would influence.
Question 2.
What effect does damping have on vibrations?
Show hintHide hint
Consider how dampers in cars reduce shake during driving.
3Question 3.
What does the term 'natural frequency' refer to in an SDOF system?
- The frequency of an external force
- The inherent vibrational frequency of a system
- The sum of stiffness and mass
Show hintHide hint
Think about how a guitar string vibrates when plucked.
4Question 4.
True or False: More damping results in higher amplitudes of vibration.
- True
- False
Show hintHide hint
Consider how shocks are absorbed in car suspensions.
Question 5.
A 15 kg mass is attached to a spring with a stiffness of 300 N/m. Calculate the natural frequency of this system and explain its implications for structural design.
Show hintHide hint
Use the relationship between mass and stiffness to derive frequency.
Question 6.
Discuss how you would model a tall building as an SDOF system to evaluate its response to an earthquake. Consider mass, stiffness, damping, and natural frequency in your answer.
Show hintHide hint
Build from base physical principles to arrive at a complete structural model.

5 more questions in this section. Enroll free to practise them all.