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Dynamic equilibrium equation of structures; Response of a single degree of freedom system to dynamic excitation: free vibration, harmonic loads, pulses and earthquakes; Generation response spectra; Response of multi-degree of freedom systems; Vibration control technique; Dynamic behaviour of non-structural element.

Week/Title Modules
 Week 1: Basics of Structural Dynamics
 Module 1: Introduction of Structural Dynamics Module 2: Differential Equations in Civil Engineering Module 3: Types of Analysis/Static and Dynamic load Module 4: Degrees of Freedom (Ex: Generation of Stiffness matrix) Module 5: Dynamic Equilibrium Equation Module 6: Solution of Equilibrium Equation
 Week 2: Free Vibration of SDOF
 Module 1: Undamped free Vibration Module 2: Solution, Natural Period/Frequency Module 3: Energy in Free Vibration Module 4: Damped Free Vibration Module 5: Types of damping Module 6: Logarithmic decrement equation
 Week 3: Forced Vibration of SDOF
 Module 1: Undamped Forced vibration Module 2: Amplitude & Phase Angle Module 3: Dynamic amplification factor for deflection (Rd) Module 4: Damped Forced vibration Module 5: Relationship between Rd, Rv and Ra
 Week 4: Force Transmission, Vibration Measurement
 Module 1: Resonant frequency and Half power band width Module 2: Force Transmission and Isolation Module 3: Design of Vibration Measuring Instruments
 Week 5: Response to Arbitrary Motions
 Module 1: Response to Unit Impulse Module 2: Response to Arbitrary Force (Duhamel's Integral) Module 3: Response to Step and Ramp Forces Module 4: Response to Rectangular Pulse, Half Sinusoidal wave
 Week 6: Numerical Methods of Solution
 Module 1: Time Stepping Methods Module 2: Central Difference Method Module 3: Newmark's Method
 Week 7: Response Spectrum
 Module 1: Concept of Response Spectrum Module 2: Uses of Response Spectrum Module 3: Special Cases in Spectrum Module 4: Development of Tripartite Plot Module 5: Example: Base Shear and Base Moment Module 6: Response of Structure in Frequency Domain
 Week 8: Multi-Degree of Freedom Systems
 Module 1: Equation of Motion for MDOF System Module 2: Solution of Equation, Natural Frequencies and mode Shapes (60) Module 3: Modal Orthogonality Module 4: Approximate Method for finding Natural frequency
 Week 9: Earthquake Response of MDOF Systems
 Module 1: Time History Analysis Module 2: Response Spectrum Analysis Module 3: 3D Dynamic Analysis
 Week 10: Dynamic Response of Continuous Systems
 Module 1: Vibration of Continuous systems Module 2: Shear behavior and bending behavior Module 3: Generalized SDOF
 Week 11: Dynamics of Rigid Blocks
 Module 1: Dynamics of Rigid Blocks Module 2: Non Structural Elements Module 3: Floor Response Spectrum
 Week 12: Vibration Control
 Module 1: Introduction to Vibration Control Module 2: Active Control Module 3: Passive Control Module 4: Design of Tuned Mass Damper

Basic understanding of structural analysis and knowledge of engineering mathematics.

1. â€śDynamics of structuresâ€ť by Anil K Chopra
2. â€śStructural Dynamicsâ€ť by Clough & Penzin
3. â€śTheory of Vibrationsâ€ť by Thompson
4. â€śElements of vibration analysisâ€ť by Leonard Mirovitch
5. â€śStructural dynamicsâ€ť by Madhujit Mukhopadyay

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