Discussion
The damped natural frequency is related to the undamped value by
Answer: C
Correct answer: \( \omega_d = \omega_n\sqrt{1-\xi^2} \)
Damping lowers the frequency of free oscillation, and the reduction goes as the square root of \( 1-\xi^2 \).
The practical consequence is that the correction is negligible at civil engineering damping levels: at \( \xi = 0.05 \) the factor is 0.99875, so the damped and undamped periods differ by about an eighth of one per cent. The distinction matters mathematically and almost never numerically, which is why codes work with the undamped period throughout.
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development