Theory of Rectangular Plates-Part1

ABOUT THE COURSE: Beams, plates and shells are fundamental structural elements in the field of mechanical engineering, civil structures, automobile and aerospace engineering. Therefore analysis of these basic structural elements are required for design and development. This course presents systematic development of plate governing equations using the variational calculus. Basic analytical solutions techniques are discussed for bending, free vibration and buckling cases. Further this approach can be applied to develop governing equation and solutions for functionally graded plate, piezoelectric plates (current research topics).INTENDED AUDIENCE: Final year B.Tech, M.Tech and Pre-Ph.D students in Mechanical Engineering, Civil Engineering, Aerospace Engineering and Applied Mechanics departments, Faculties who work in solid Mechanics/Continuum Mechanics PREREQUISITES: Advanced Solid Mechanics or Theory of Elasticity. INDUSTRY SUPPORT: ABAQUS, ANSYS, ISRO

Week 1: Basics of Elasticity,Energy Principals,Classification of various plate theoriesWeek 2: Kinematic assumptions for various theories,Development of governing equations,Boundary conditions and plate constitutive relationsWeek 3: Navier Solution for bending,Levy solution,Approximate solutionsWeek 4: Navier solution for free vibration and bucking cases,Levy solution for free vibrations case,Development of 3D solution in mixed form