AS4009 Theory of Plates and Shells Syllabus:
AS4009 Theory of Plates and Shells Syllabus – Anna University PG Syllabus Regulation 2021
COURSE OBJECTIVE
To get fundamental understanding of the classical theory of elastic plates and shells, address limitations and differences, nomenclature, analytical and numerical solution techniques. To enable students to apply the theory of plates to problems, involving various geometries and boundary conditions, to diverse problems in aerospace engineering.
UNIT I THEORY OF PLATE BENDING
Plate-Bending Theory – Classical Solution Methods-Rectangular Plates, Circular Plates – Plates on Elastic Foundations
UNIT II ENERGY METHODS
Analysis of Membranes-Bending & Stretching- Ritz Method- Galerkin’s method- Finite Difference method- Large Deflection – Stability: Fundamentals, Applications
UNIT III VIBRATIONS AND STABILITY OF PLATES
Stability and Free Vibration Analysis of Rectangular Plates with various end conditions.- nonlinear geometric effects- Free Vibration and Stability Analysis.
UNIT IV SHELLS
Basic Concepts of Shell Type of Structures – Membrane and Bending Theories for Circular Cylindrical Shells – the general theory of elastic shells and axisymmetric shells – Introduction to the nonlinear analysis of shells.
UNIT V BUCKLING OF SHELLS
buckling, crushing and bending strength of cylindrical shells – Energy absorption and crashworthiness of prismatic tubes – Applications: Pipes, Tanks, Pressure Vessels
TOTAL: 45 PERIODS
COURSE OUTCOMES:
At the end of this course, students will be able to
CO1: To get knowledge on the behavior of plates with different geometry under various types of loads
CO2: To analyses the plates by approximation methods and its applications
CO3: Have exposure on failure of plates under vibrations.
CO4: To get knowledge on the behavior of shells under various types of loads.
CO1: Able to get attentiveness on shells for aerospace applications.
REFERENCES:
1. Timoshenko, Stephen P., and S. Woinowsky-Krieger. Theory of Plates and Shells. 2nd ed. New York, NY: McGraw-Hill Companies, 1959.
2. A. C. Ugural, “Stresses in Beams, Plates, and Shells,” 3 rd edition,” CRC Press, 2009.
3. Reddy, J. N., “Theory and Analysis of Elastic Plates and Shells,” CRC, 2nd edition, December 2006.
4. S. Timoshenko, and S. Woinowsky-Krieger “Theory of Plates and Shells,” McGraw-Hill, 1959.