CE-702 (C) · Structural Dynamics/Official Syllabus
Structural Dynamics (CE-702 (C)) - Official Syllabus
1
Unit 1
Undamped Single Degree of Freedom System
- Degree of freedom, undamped system
- Force displacement relation, damping force
- Equation of motion, mass-spring damper system
- De28099Alemberte28099s Principle
- Solution of differential equation of motion
- frequency, period and amplitude of motion
2
Unit 2
Damped Single Degree of Freedom System
- Viscous damping, equation of motion
- critically damped systems
- over and under damped systems
- logarithmic decrement
3
Unit 3
Response to harmonic and periodic vibrations
- Harmonic vibration of undamped and viscously damped systems
- natural frequency and damping
- force transmission and vibration isolation
- Fourier series representation, response to periodic force
4
Unit 4
Response to Arbitrary, Step, and Pulse Excitation
- Response to unit impulse, arbitrary force
- Duhamele28099s Integral
- step force
- rectangular pulse force
- half cycle sinusoidal pulse force
- triangular pulse force
5
Unit 5
Multi Degree of Freedom System
- Matrix formulation, stiffness and flexibility influence coefficients
- eigen value problem, normal modes and their properties
- Matrix iteration technique for eigen value, and eigen vectors
- Free and forced vibration by modal analysis
Reference Books
- Dynamics of Structures — A. K. Chopra
- Dynamics of structures — R.W. Clough, J. Penzien
- Introduction to Structural Dynamics — J M Biggs
- Structural Dynamics — Mario Paz
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