結構動力學
Structural Dynamics
| 節 | 週二 |
|---|---|
5 13:20–14:10 | 結構動力學 EB415 3 節連堂 |
6 14:20–15:10 | |
7 15:30–16:20 |
* 根據陽明交大上課時間表所列
This course covers how structural systems respond to time-varying loads. Students will examine the behavior of single- and multi-degree-of-freedom systems under harmonic and general loading, including earthquake, blast, and impact conditions. They will also study solution methods for free and forced vibrations, along with response spectrum analysis for seismic excitations.
Engineering Mathematics (Ⅰ), Theory of Structures(Ⅰ)
Each student is expected to submit work that constitutes an independent effort on their part. While open discussion of assignments(but not exams) is acceptable and, in fact, encouraged, the written work submitted by each student must reflect that student's understanding of the topics covered.
Assignments: 30 %, Midterm: 30 %, Final project: 30 %, Class participation: 10%.
| 週次 | 主題 |
|---|---|
| 第 1 週 | Course overview dynamic vs. static response types of dynamic loading: seismic, impact, wind, blast unit sets |
| 第 2 週 | SDOFs : Introduction Idealizing structures as SDOFs relationship between structural and load frequencies |
| 第 3 週 | SDOFs : Formulating the equation of motion Undamped SDOFs dynamic equation of motion D’Alembert's principle equivalent stiffness series and parallel springs energy method |
| 第 4 週 | SDOFs : Free vibration analysis Undamped systems initial conditions damped systems (underdamped critically damped overdamped) logarithmic decrement method of determining damping |
| 第 5 週 | SDOFs : Forced vibration analysis for harmonic loading Undamped systems under harmonic loading damped systems under harmonic loading (transient and steady state components) dynamic response factors damping at resonance harmonic ground motion transmissibility |
| 第 6 週 | SDOFs : Forced vibration analysis for general loading Undamped systems under constant and block loading damped systems under block loading Duhamel's integral numeric integration of Duhamel's integral seismic loading (ground acceleration histories) |
| 第 7 週 | SDOFs : Introduction to explosive loads Propagation and reflection of blast waves in air incident vs. reflected pressure pressure time-history characteristics impulse calculation of blast parameters |
| 第 8 週 | SDOFs : Time-step integration methods for linear-elastic systems Linear acceleration method special linear acceleration method stability and accuracy finite difference expressions central difference method |
| 第 9 週 | SDOFs : Seismic response spectra Response spectra parameters response spectra relationships tri-log plots |
| 第 10 週 | SDOFs : Introduction to nonlinear analysis Source of nonlinearity numerical approaches material hardening models elastic-plastic analysis equation of motion central difference method |
| 第 11 週 | MDOFs : Modal properties Shear building approximation coupled equations of motion stiffness, mass, and damping matrices eigen analysis (mode shapes and natural frequencies) |
| 第 12 週 | MDOFs : Model reduction Reduction of model size for dynamic analysis flexibility formation and inversion |
| 第 13 週 | MDOFs : Time-step integration using mode superposition Orthogonality of eigenvectors eigenvector normalizations modal coordinates uncoupled modal equations of motion mode superposition seismic loading (ground motion) modal mass and stiffness effective modal mass truncated modal superposition approximate models of damping |
| 第 14 週 | MDOFs : Response spectra analysis Response spectra analysis SRSS and CQC combination methods |
| 第 15 週 | MDOFs : Seismic design loads Building code seismic provisions permissible methods response spectra analysis design spectra ground motion maps inelastic behavior comprehensive example |
| 第 16 週 | Introduction to frequency domain analysis (time permitting) Time domain vs. frequency domain Fourier series the fast Fourier transform (FFT) assessing frequency content frequency based filtering |
Recommended textbook: Tedesco, J.W., McDougal, W.G., Ross, C.A., (1999) Structural Dynamics – Theory and Applications, Addison-Wesley
- 地點
- EB321
- 時間
- Monday 13:30-17:00 & Thursday 13:20-15:10
- 聯絡方式
- jeremytsai0406@nycu.edu.tw