Course Intro: 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 the 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).
Overview
Syllabus
Theory of Rectangular Plates - Part 1 [Introduction Video].
Lec 1: Basic of solid Mechanics.
Lec 2: Energy Principles.
Lec 3: Classification of plate theories and some basics.
Tutorial 1: Transformation of tensors.
Lec 4: Governing equation for plate-1.
Lec 5: Governing equation for plate -2.
Tutorial 2: Reduced Stiffness & Plate Stiffness.
Lec 6: Navier Solution and Levy Solution.
Lec 7: Levy Solution.
Tutorial 3: Load Matrices Calculation.
Lec 8: EKM and buckling of plates.
Lec 9: 3D solutions.
Lec 10: Matlab coding & ABAQUS.
Tutorial 4: Levy Solutions.
Taught by
NPTEL IIT Guwahati
