MTech Structural Dynamics syllabus for 1 Sem 2022 scheme 22CSE15

Introduction:

Introduction to Dynamic problems in Civil Engineering, Concept of degrees of freedom, D’Alembert’s principle, principle of virtual displacement and energy principles. Dynamics of Single degree-of-freedom systems: Mathematical models of Single-degree-offreedom systems system, Freevibration response of damped and undamped systems including methods for evaluation of damping.

Response of Single-degree-of-freedom systems to harmonic loading including support motion, vibration isolation, transmissibility. Numerical methods applied to Single-degree-of-freedom systems – Duhamel integral. Principle of vibration measuring instruments– seismometer and accelerometer.

Dynamics of Multi-degree freedom systems:

Mathematical models of multi-degree-of-freedom systems, Shear building concept, free vibration of undamped multi-degree-of- freedom systems – Natural frequencies and mode shapes – Orthogonality of modes

Response of Shear buildings for harmonic loading without damping using normal mode approach. Response of Shearbuildings for forced vibration for harmonic loading with damping using normal mode approach.

Approximate methods:

Rayleigh’s method, Dunkarley’s method, Stodola’s method. Dynamics of Continuous systems: Flexural vibration of beams with different end conditions. Stiffness matrix, mass matrix (lumped and consistent).

Course outcomes:

On completion of this course, students are ableto:

• Co1: Achieve Knowledge of design and development of problem solving skills.
• Co2: Understand the principles of Structural Dynamics
• Co3: Design and develop analytical skills.
• Co4: Summarize the Solution techniques for dynamics of Multi-degree freedomsystems
• Co5: Understand the concepts of damping in structures.

Question paper pattern:

• The question paper will have ten questions; each question carries equal marks,
• there will betwo full questions or with a maximum of four sub questions from each module,
• students will have to attend five full questions from each module.

Reference Books:

1. Dynamics of Structures – “Theory and Application To Earthquake Engineering”- 2nd ed., Anil K. Chopra, Pearson Education.

2. Earthquake Resistant Design of Building Structures, Vinod Hosur,WILEY (India)

3. Vibrations, structural dynamics- M. Mukhopadhaya : Oxford IBH

4. Structural Dynamics- Mario Paz: CBS publishers.

5. Structural Dynamics- Clough & Penzien: TMH

6. Vibration Problems in Engineering Timoshenko, S, Van-Nostrand Co.