Transverse vibration of circular and elliptic plates with quadratically varying thickness

Transverse Vibration of Clamped and Simply Supported Circular Plates with an Eccentric Circular Perforation and Attached Concentrated Mass

In this investigation Rayleigh-Ritz variational method has been applied to determine the least natural frequency coefficient for the title problem. Classical plate theory assumptions have been used to calculate strain energy and kinetic energy. Coordinate functions are combination of polynomials which satisfy boundary conditions at the outer boundary and trigonometric terms. In the second part ...

Buckling Analysis of Polar Orthotropic Circular and Annular Plates of Uniform and Linearly Varying Thickness with Different Edge Conditions

This paper investigates symmetrical buckling of orthotropic circular and annular plates of continuous variable thickness. Uniform compression loading is applied at the plate outer boundary. Thickness varies linearly along radial direction. Inner edge is free, while outer edge has different boundary conditions: clamped, simply and elastically restraint against rotation. The optimized Ritz method...

Thermally Induced Vibration, Circular Plates

1. Tummala RR (2001) Fundamentals of microsystems packaging. McGraw-Hill International Edition, New York 2. JEDEC (2002) Design standard: design requirements for outlines of solid state and related products; JEDEC Publication 95, Design Guide 4.14-1/D, Ball Grid Array Package, JEDEC Solid State Technology Association 3. Vujosevic M (2006) Warpage of flip chip packages. In: Proceedings of IMECE2...

Free Asymmetric Transverse Vibration of Parabolically Varying Thickness Polar Orthotropic Annular Plate with Flexible Edge Conditions

Free asymmetric transverse vibration of a polar orthotropic thin annular plate with parabolically varying thickness in radial direction have been computed on the basis of classical plate theory considering both the peripheries of the plate elastically restrained against translation and rotation. The fourth order linear differential equation with variable coefficients governing the motion in the...

Analysis of Free Vibration of Triangular Plates with Non-Uniform Linear Thickness and Arbitrary Boundary Conditions