Structural Dynamics and Earthquake Engineering Premium Lecture Notes Prepared and provided by N.Vignesh Kumar Kamaraj College of Engineering and Technology. Specially for Civil Engineering. Syllabus Covered based on B.E Civil Engineering.
Prepared By:
N.Vignesh Kumar
Kamaraj College of Engineering and Technology
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STRUCTURAL DYNAMICS AND EARTHQUAKE ENGINEERING
UNIT-1
PRINCIPLES OF DYNAMICS
UNIT-2
TWO DEGREE OF FREEDOM SYSTEM
UNIT-3
DYNAMIC ANALYSIS OF MODE
UNIT-4
DYNAMIC NALYSIS OF CONTINOUS SYSTEM
UNIT-1
PRINCIPLES OF DYNAMICS
Vibration
Free vibration
Forced vibration
Oscillation
Damping
Types of damping
• Viscous damping
• Coulomb damping
• Structural damping
• Active damping
• Passive damping
Degree of freedom
Natural frequency
Static load
Dynamic load
Combination of spring
Mathematical modelling
Single degree of freedom
Damping ratio
Overdamped condition
Resonance
Half power bandwidth method
UNIT-2
TWO DEGREE OF FREEDOM SYSTEM
Solution of equation of motion
Mode shape
Forced Vibration of undamped 2DOF system
Free vibration of 2DOF system
Problems
Model equation for undamped system
Normalization of modes
UNIT-3
DYNAMIC ANALYSIS OF MODE
Orthogonality relationship
Multidegree of freedom system
Steady state response of a damped MDOF system
Rayleigh- ritz method
Mode superposition method
Numerical evaculation of dynamic response
Central difference method
UNIT-4
DYNAMIC NALYSIS OF CONTINOUS SYSTEM
Vibration of string
Free longitudinal vibration of a bars
Free flexural vibration of beam
Boundary condition
Forced flexural vibration of beams
Formulation using virtual work
Disadvantages of Rayleigh – ritz method
Formulation using conservation of energy by rayleighs method
Non linear SDOF
Wilson o method
Central difference method
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