15CV744 Structural Dynamics syllabus for CV

Introduction:

Introduction to structural dynamics, brief history of vibration, Basic definitions, vibration of SDOF (Single Degree of Freedom) systems, undamped, Damped, Free vibrations, equivalent viscous damping, Logarithmic decrement

Forced vibrations of SDOF system, Response of undamped and damped system subjected to harmonic loading, response to SDOF subject to harmonic base excitation, Duhamel’s integral, response to general system of loading, dynamic load factor, response spectrum.

Free vibration of MDOF (Multi Degree Freedom System), Natural frequencies, Normal modes, Orthogonality of normal modes, Eigen Values Shear buildings modeled as MDOF systems. Free vibrations, Natural frequencies,

Forced vibrations, Motion of shear buildings, Model Superposition Method, Response to shear buildings, Base motion, Harmonic fixed excitation.Damped motion of shear buildings, Equations for damped shear buildings, uncoupled damped equations, Conditions for damping uncoupled.

Dynamic analysis of base stuffiness matrices, Lumped mass and consistent mass formulation, Equations of motion.

Course outcomes:

After studying this course, students will be able to:

1. Apply knowledge of mathematics, science, and engineering by developing the equations of motion for vibratory systems and solving for the free and forced response.

2. Basic understanding of fundamental analysis methods for dynamic systems Interpret dynamic analysis results for design, analysis and research purposes

3. Apply structural dynamics theory to earthquake analysis, response, and design of structures

Program Objectives: •

Engineering knowledge •

Problem analysis •

Interpretation of data

Question paper pattern: •

• The question paper will have 5 modules comprising of ten questions.
• Each full question carrying 16 marks • There will be two full questions (with a maximum of three subdivisions, if necessary) from each module. •
• Each full question shall cover the topics as a module • The students shall answer five full questions, selecting one full question from each module.
• If more than one question is answered in modules, best answer will be considered for the award of marks limiting one full question answer in each module.

Text Books:

1. Anil K Chopra, “Structural Dynamics”, PHI Publications

2. Mukobadhyay, “Vibrations, Structural Dynamics”, Oxford IBH Publications

3. Vinod Husur, “Earth Quake resistant design of building structures”, WILE EASTERN India Publications

Reference Books:

1. V K Mac Subramanian, “Elementary structural dynamics”, Danpatra Publications

2. Mario Poz, “Structural Dynamics”, CBS publications.

3. Manik A Selvam, “Structural Dynamics”, Danpatra publications