Static and free vibration analysis of multilayered functionally graded shells and plates using an efficient zigzag theory

ABSTRACT

Accurate zigzag theory is presented for static and free vibration analysis of multilayered functionally graded material (FGM) cylindrical shells and rectangular plates by approximating inplane displacements as a combination of linear layerwise and cubic global terms. Governing equations of motion are derived using Hamilton’s principle. The theory yields accurate results for displacements, stresses and natural frequencies in simply-supported functionally graded multilayered cylindrical shell panels and rectangular plates. Effect of changing the volume fraction ratio, aspect ratio and thickness of FGM layer between two homogeneous layers are investigated for a number of multilayered shell and plate laminates.

KEYWORDS:

• Functionally graded plates and shells
• static analysis
• free vibration
• analytical modeling
• laminate mechanics