1. Theory of Vibrations
This chapter provides an understanding of vibration theory essential for earthquake engineering, emphasizing the dynamics of structures under ground motion. Key concepts include types of vibratory systems, free and forced vibrations, and the impact of damping. The chapter also explores modern methods for vibration analysis and the importance of damping, resonance, and control devices in structural design.
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What we have learnt
- Understanding vibrations is crucial for designing earthquake-resistant structures.
- Vibrations can be classified into free and forced types, with parameters like displacement, velocity, and acceleration essential for analysis.
- Damping significantly affects the behavior of vibrating systems, influencing structural response during seismic events.
Key Concepts
- -- Free Vibration
- Oscillatory motion that occurs without external force after an initial disturbance.
- -- Forced Vibration
- Oscillatory motion caused by continuous external excitation.
- -- Damping Ratio (ζ)
- A measure of how oscillations in a system decay after a disturbance, classified into underdamped, critically damped, and overdamped categories.
- -- Natural Frequency
- Frequency at which a system tends to oscillate in the absence of any driving force.
- -- Resonance
- A phenomenon that occurs when a system is driven at its natural frequency, leading to large amplitude oscillations.
- -- Dynamic Amplification Factor (DAF)
- A ratio comparing the dynamic response of a structure under dynamic loading to its static response.
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